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30 Problem Solving Maths Questions And Answers For GCSE

Martin noon.

Problem solving maths questions can be challenging for GCSE students as there is no ‘one size fits all’ approach. In this article, we’ve compiled tips for problem solving, example questions, solutions and problem solving strategies for GCSE students. 

Since the current GCSE specification began, there have been many maths problem solving exam questions which take elements of different areas of maths and combine them to form new maths problems which haven’t been seen before. 

While learners can be taught to approach simply structured problems by following a process, questions often require students to make sense of lots of new information before they even move on to trying to solve the problem. This is where many learners get stuck.

How to teach problem solving

6 tips to tackling problem solving maths questions, 10 problem solving maths questions (foundation tier), 10 problem solving maths questions (foundation & higher tier crossover), 10 problem solving maths questions (higher tier).

In the Ofsted maths review , published in May 2021, Ofsted set out their findings from the research literature regarding the sort of curriculum and teaching that best supports all pupils to make good progress in maths throughout their time in school.

Regarding the teaching of problem solving skills, these were their recommendations:

  • Teachers could use a curricular approach that better engineers success in problem-solving by teaching the useful combinations of facts and methods, how to recognise the problem types and the deep structures that these strategies pair to.
  • Strategies for problem-solving should be topic specific and can therefore be planned into the sequence of lessons as part of the wider curriculum. Pupils who are already confident with the foundational skills may benefit from a more generalised process involving identifying relationships and weighing up features of the problem to process the information. 
  • Worked examples, careful questioning and constructing visual representations can help pupils to convert information embedded in a problem into mathematical notation.
  • Open-ended problem solving tasks do not necessarily mean that the activity is the ‘ideal means of acquiring proficiency’. While enjoyable, open ended problem-solving activities may not necessarily lead to improved results.  

Are you a KS2 teacher needing more support teaching reasoning, problem solving & planning for depth ? See this article for FREE downloadable CPD

There is no ‘one size fits all’ approach to successfully tackling problem solving maths questions however, here are 6 general tips for students facing a problem solving question:

  • Read the whole question, underline important mathematical words, phrases or values.
  • Annotate any diagrams, graphs or charts with any missing information that is easy to fill in.
  • Think of what a sensible answer may look like. E.g. Will the angle be acute or obtuse? Is £30,000 likely to be the price of a coat?
  • Tick off information as you use it.
  • Draw extra diagrams if needed.
  • Look at the final sentence of the question. Make sure you refer back to that at the end to ensure you have answered the question fully.

There are many online sources of mathematical puzzles and questions that can help learners improve their problem-solving skills. Websites such as NRICH and our blog on SSDD problems have some great examples of KS2, KS3 and KS4 mathematical problems.

Read more: KS2 problem solving and KS3 maths problem solving

In this article, we’ve focussed on GCSE questions and compiled 30 problem solving maths questions and solutions suitable for Foundation and Higher tier students. Additionally, we have provided problem solving strategies to support your students for some questions to encourage critical mathematical thinking . For the full set of questions, solutions and strategies in a printable format, please download our 30 Problem Solving Maths Questions, Solutions & Strategies.

30 Problem Solving Maths Questions, Solutions & Strategies

Help your students prepare for their maths GCSE with these free problem solving maths questions, solutions and strategies

These first 10 questions and solutions are similar to Foundation questions. For the first three, we’ve provided some additional strategies.

In our downloadable resource, you can find strategies for all 10 Foundation questions .

1) L-shape perimeter 

Here is a shape:

l-shape perimeter

Sarah says, “There is not enough information to find the perimeter.”

Is she correct? What about finding the area?

  • Try adding more information – giving some missing sides measurements that are valid. 
  • Change these measurements to see if the answer changes.
  • Imagine walking around the shape if the edges were paths. Could any of those paths be moved to another position but still give the same total distance?

The perimeter of the shape does not depend on the lengths of the unlabelled edges.

solution to finding perimeter of l-shape

Edge A and edge B can be moved to form a rectangle, meaning the perimeter will be 22 cm. Therefore, Sarah is wrong.

The area, however, will depend on those missing side length measurements, so we would need more information to be able to calculate it.

2) Find the missing point

Here is a coordinate grid with three points plotted. A fourth point is to be plotted to form a parallelogram. Find all possible coordinates of the fourth point.

coordinate grid

  • What are the properties of a parallelogram?
  • Can we count squares to see how we can get from one vertex of the parallelogram to another? Can we use this to find the fourth vertex?

There are 3 possible positions.

coordinate grid

3) That rating was a bit mean!

The vertical line graph shows the ratings a product received on an online shopping website. The vertical line for 4 stars is missing.

vertical graph

If the mean rating is 2.65, use the information to complete the vertical line graph.


  • Can the information be put into a different format, either a list or a table?
  • Would it help to give the missing frequency an algebraic label, x ?
  • If we had the data in a frequency table, how would we calculate the mean?
  • Is there an equation we could form?

Letting the frequency of 4 star ratings be x , we can form the equation \frac{45+4x}{18+x} =2.65

Giving x=2 

vertical graph

4) Changing angles

The diagram shows two angles around a point. The sum of the two angles around a point is 360°.

two angles around a point diagram

Peter says “If we increase the small angle by 10% and decrease the reflex angle by 10%, they will still add to 360°.”

Explain why Peter might be wrong.

Are there two angles where he would be correct?

Peter is wrong, for example, if the two angles are 40° and 320°, increasing 40° by 10% gives 44°, decreasing 320° by 10% gives 288°. These sum to 332°.

10% of the larger angle will be more than 10% of the smaller angle so the sum will only ever be 360° if the two original angles are the same, therefore, 180°.

5) Base and power

The integers 1, 2, 3, 4, 5, 6, 7, 8 and 9 can be used to fill in the boxes. 

base and power empty boxes

How many different solutions can be found so that no digit is used more than once?

There are 8 solutions.

6) Just an average problem 

Place six single digit numbers into the boxes to satisfy the rules.


The mean in maths is 5  \frac{1}{3}

The median is 5

The mode is 3.

How many different solutions are possible?

There are 4 solutions.

2, 3, 3, 7, 8, 9

3, 3, 4, 6, 7, 9

3, 3, 3, 7, 7, 9

3, 3, 3, 7, 8, 8

7) Square and rectangle  

The square has an area of 81 cm 2 . The rectangle has the same perimeter as the square.

Its length and width are in the ratio 2:1.

square and rectangle areas

Find the area of the rectangle.

The sides of the square are 9 cm giving a perimeter of 36 cm. 

We can then either form an equation using a length 2x and width x . 

Or, we could use the fact that the length and width add to half of the perimeter and share 18 in the ratio 2:1. 

The length is 12 cm and the width is 6 cm, giving an area of 72 cm 2 .

8) It’s all prime

The sum of three prime numbers is equal to another prime number.

empty number sequence

If the sum is less than 30, how many different solutions are possible?

There are 5 solutions. 

2 can never be used as it would force two more odd primes into the sum to make the total even.

9) Unequal share

Bob and Jane have £10 altogether. Jane has £1.60 more than Bob. Bob spends one third of his money. How much money have Bob and Jane now got in total?

Initially Bob has £4.20 and Jane has £5.80. Bob spends £1.40, meaning the total £10 has been reduced by £1.40, leaving £8.60 after the subtraction.

10) Somewhere between

Fred says, “An easy way to find any fraction which is between two other fractions is to just add the numerators and add the denominators.” Is Fred correct?


Fred is correct. His method does work and can be shown algebraically which could be a good problem for higher tier learners to try.

If we use these two fractions \frac{3}{8} and \frac{5}{12} , Fred’s method gives us \frac{8}{20} = \frac{2}{5}

\frac{3}{8} = \frac{45}{120} , \frac{2}{5} = \frac{48}{120} , \frac{5}{12} = \frac{50}{120} . So \frac{3}{8} < \frac{2}{5} < \frac{5}{12}

The next 10 questions are crossover questions which could appear on both Foundation and Higher tier exam papers. We have provided solutions for each and, for the first three questions, problem solving strategies to support learners.

11) What’s the difference?

An arithmetic sequence has an nth term in the form an+b .

4 is in the sequence.

16 is in the sequence.

8 is not in the sequence.

-2 is the first term of the sequence.

What are the possible values of a and b ?

  • We know that the first number in the sequence is -2 and 4 is in the sequence. Can we try making a sequence to fit? Would using a number line help?
  • Try looking at the difference between the numbers we know are in the sequence.

If we try forming a sequence from the information, we get this:


We can now try to fill in the missing numbers, making sure 8 is not in the sequence. Going up by 2 would give us 8, so that won’t work.

Number sequence

The only solutions are 6 n -8 and 3 n -5.

12) Equation of the hypotenuse

The diagram shows a straight line passing through the axes at point P and Q .

Q has coordinate (8, 0). M is the midpoint of PQ and MQ has a length of 5 units.

diagram with points p m and q

Find the equation of the line PQ .

  • We know MQ is 5 units, what is PQ and OQ ?
  • What type of triangle is OPQ ?
  • Can we find OP if we know PQ and OQ ?
  • A line has an equation in the form y=mx+c . How can we find m ? Do we already know c ?

PQ is 10 units. Using Pythagoras’ Theorem OP = 6

The gradient of the line will be \frac{-6}{8} = -\frac{3}{4} and P gives the intercept as 6.

13) What a waste

Harry wants to cut a sector of radius 30 cm from a piece of paper measuring 30 cm by 20 cm. 

section of a radius

What percentage of the paper will be wasted?

  • What information do we need to calculate the area of a sector? Do we have it all?
  • Would drawing another line on the diagram help find the angle of the sector?

The angle of the sector can be found using right angle triangle trigonometry.

The angle is 41.81°.

This gives us the area of the sector as 328.37 cm 2 .

The area of the paper is 600 cm 2 .

The area of paper wasted would be 600 – 328.37 = 271.62 cm 2 .

The wasted area is 45.27% of the paper.

14) Tri-polygonometry

The diagram shows part of a regular polygon and a right angled triangle. ABC is a straight line. Find the sum of the interior angles of the polygon.

Part of a regular polygon diagram

Finding the angle in the triangle at point B gives 30°. This is the exterior angle of the polygon. Dividing 360° by 30° tells us the polygon has 12 sides. Therefore, the sum of the interior angles is 1800°.

15) That’s a lot of Pi

A block of ready made pastry is a cuboid measuring 3 cm by 10 cm by 15 cm. 

cuboid with measurements

Anne is making 12 pies for a charity event. For each pie, she needs to cut a circle of pastry with a diameter of 18 cm from a sheet of pastry 0.5 cm thick.

How many blocks of pastry will Anne need to buy?

The volume of one block of pastry is 450 cm 3 . 

The volume of one cylinder of pastry is 127.23 cm 3 .

12 pies will require 1526.81 cm 3 .

Dividing the volume needed by 450 gives 3.39(…). 

Rounding this up tells us that 4 pastry blocks will be needed.

16) Is it right?

A triangle has sides of (x+4) cm, (2x+6) cm and (3x-2) cm. Its perimeter is 80 cm.

Show that the triangle is right angled and find its area.

Forming an equation gives 6x+8=80

This gives us x=12 and side lengths of 16 cm, 30 cm and 34 cm.

Using Pythagoras’ Theorem

16 2 +30 2 =1156 

Therefore, the triangle is right angled.

The area of the triangle is (16 x 30) ÷ 2 = 240 cm 2 .

17) Pie chart ratio

The pie chart shows sectors for red, blue and green. 

pie chart

The ratio of the angles of the red sector to the blue sector is 2:7. 

The ratio of the angles of the red sector to the green sector is 1:3. 

Find the angles of each sector of the pie chart.

Multiplying the ratio of red : green by 2, it can be written as 2:6. 

Now the colour each ratio has in common, red, has equal parts in each ratio.

The ratio of red:blue is 2:7, this means red:blue:green = 2:7:6.

Sharing 360° in this ratio gives red:blue:green = 48°:168°:144°.

18) DIY Simultaneously

Mr Jones buys 5 tins of paint and 4 rolls of decorating tape. The total cost was £167.

The next day he returns 1 unused tin of paint and 1 unused roll of tape. The refund amount is exactly the amount needed to buy a fan heater that has been reduced by 10% in a sale. The fan heater normally costs £37.50.

Find the cost of 1 tin of paint.    

The sale price of the fan heater is £33.75. This gives the simultaneous equations

p+t = 33.75 and 5 p +4 t = 167.

We only need the price of a tin of paint so multiplying the first equation by 4 and then subtracting from the second equation gives p =32. Therefore, 1 tin of paint costs £32. 

19) Triathlon pace

Jodie is competing in a Triathlon. 

A triathlon consists of a 5 km swim, a 40 km cycle and a 10 km run. 

Jodie wants to complete the triathlon in 5 hours. 

She knows she can swim at an average speed of 2.5 km/h and cycle at an average speed of 25 km/h. There are also two transition stages, in between events, which normally take 4 minutes each.

What speed must Jodie average on the final run to finish the triathlon in 5 hours?

Dividing the distances by the average speeds for each section gives times of 2 hours for the swim and 1.6 hours for the cycle, 216 minutes in total. Adding 8 minutes for the transition stages gives 224 minutes. To complete the triathlon in 5 hours, that would be 300 minutes. 300 – 224 = 76 minutes. Jodie needs to complete her 10 km run in 76 minutes, or \frac{19}{15} hours. This gives an average speed of 7.89 km/h.

20) Indices

a 2x × a y =a 3

(a 3 ) x ÷ a 4y =a 32

Find x and y .

Forming the simultaneous equations

Solving these gives

This final set of 10 questions would appear on the Higher tier only. Here we have just provided the solutions. Try asking your learners to discuss their strategies for each question.  

21) Angles in a polygon

The diagram shows part of a regular polygon.

part of a polygon diagram

A , B and C are vertices of the polygon. 

The size of the reflex angle ABC is 360° minus the interior angle.

Show that the sum of all of these reflex angles of the polygon will be 720° more than the sum of its interior angles.

Each of the reflex angles is 180 degrees more than the exterior angle: 180 + \frac{360}{n}

The sum of all of these angles is n (180 + \frac{360}{n} ). 

This simplifies to 180 n + 360

The sum of the interior angles is 180( n – 2) = 180 n – 360

The difference is 180 n + 360 – (180 n -360) = 720°

22) Prism and force (Non-calculator)

The diagram shows a prism with an equilateral triangle cross-section.


When the prism is placed so that its triangular face touches the surface, the prism applies a force of 12 Newtons resulting in a pressure of \frac{ \sqrt{3} }{4} N/m^{2}

Given that the prism has a volume of 384 m 3 , find the length of the prism.

Pressure = \frac{Force}{Area}

Area = 12÷ \frac{ \sqrt{3} }{4} = 16\sqrt{3} m 2

Therefore, the length of the prism is 384 ÷ 16\sqrt{3} = 8\sqrt{3} m

23) Geometric sequences (Non-calculator)

A geometric sequence has a third term of 6 and a sixth term of 14 \frac{2}{9}

Find the first term of the sequence.

The third term is ar 2 = 6

The sixth term is ar 5 = \frac{128}{9}

Diving these terms gives r 3 = \frac{64}{27}

Giving r = \frac{4}{3}

Dividing the third term twice by \frac{4}{3} gives the first term a = \frac{27}{8}

24) Printing factory

A printing factory is producing exam papers. When all 10 of its printers are working, it can produce all of the exam papers in 12 days.

For the first two days of printing, 3 of the printers are broken.

At the beginning of the third day it is discovered that 2 more printers have broken down, so the factory continues to print with the reduced amount of printers for 3 days. The broken printers are repaired and now all printers are available to print the remaining exams.

How many days in total does it take the factory to produce all of the exam papers?

If we assume one printer prints 1 exam paper per day, 10 printers would print 120 exam papers in 12 days. Listing the number printed each day for the first 5 days gives:

Day 5: 5 

This is a total of 29 exam papers.

91 exam papers are remaining with 10 printers now able to produce a total of 10 exam papers each day. 10 more days would be required to complete the job.

Therefore, 15 days in total are required.

25) Circles

The diagram shows a circle with equation x^{2}+{y}^{2}=13 .

tangent and circle

A tangent touches the circle at point P when x=3 and y is negative.

The tangent intercepts the coordinate axes at A and B .

Find the length AB .

Using the equation  x^{2}+y^{2}=13 to find the y value for P gives y=-2 .

The gradient of the radius at this point is - \frac{2}{3} , giving a tangent gradient of \frac{3}{2} .

Using the point (3,-2) in y = \frac {3}{2} x+c gives the equation of the tangent as y = \frac {3}{2} x – \frac{13}{2}

Substituting x=0 and y=0 gives A and B as (0 , -\frac {13}{2}) and ( \frac{13}{3} , 0)

Using Pythagoras’ Theorem gives the length of AB as ( \frac{ 13\sqrt{13} }{6} ) = 7.812.

tangent and circle diagram

26) Circle theorems

The diagram shows a circle with centre O . Points A, B, C and D are on the circumference of the circle. 

EF is a tangent to the circle at A . 

Angle EAD = 46°

Angle FAB = 48°

Angle ADC = 78°

Find the area of ABCD to the nearest integer.

The Alternate Segment Theorem gives angle ACD as 46° and angle ACB as 48°.

Opposite angles in a cyclic quadrilateral summing to 180° gives angle ABC as 102°.

Using the sine rule to find AC will give a length of 5.899. Using the sine rule again to find BC will give a length of 3.016cm.

We can now use the area of a triangle formula to find the area of both triangles.

0.5 × 5 × 5.899 × sin (46) + 0.5 × 3.016 × 5.899 × sin (48) = 17 units 2 (to the nearest integer).

27) Quadratic function

The quadratic function f(x) = -2x^{2} + 8x +11 has a turning point at P .

Find the coordinate of the turning point after the transformation -f(x-3) .

There are two methods that could be used. We could apply the transformation to the function and then complete the square, or, we could complete the square and then apply the transformation.

Here we will do the latter.

This gives a turning point for f(x) as (2,19).

Applying -f(x-3) gives the new turning point as (5,-19).

28) Probability with fruit

A fruit bowl contains only 5 grapes and n strawberries.

A fruit is taken, eaten and then another is selected.

The probability of taking two strawberries is \frac{7}{22} .

Find the probability of taking one of each fruit. 

There are n+5 fruits altogether.

P(Strawberry then strawberry)= \frac{n}{n+5} × \frac{n-1}{n+4} = \frac{7}{22}

This gives the quadratic equation 15n^{2} - 85n - 140 = 0

This can be divided through by 5 to give 3n^{2} - 17n- 28 = 0

This factorises to (n-7)(3n + 4) = 0

n must be positive so n = 7.

The probability of taking one of each fruit is therefore, \frac{5}{12} × \frac{7}{11} + \frac {7}{12} × \frac {5}{11} = \frac {70}{132}

29) Ice cream tub volume

An ice cream tub in the shape of a prism with a trapezium cross-section has the dimensions shown. These measurements are accurate to the nearest cm.

prism with a trapezium cross-section image

An ice cream scoop has a diameter of 4.5 cm to the nearest millimetre and will be used to scoop out spheres of ice cream from the tub.

Using bounds find a suitable approximation to the number of ice cream scoops that can be removed from a tub that is full.

We need to find the upper and lower bounds of the two volumes. 

Upper bound tub volume = 5665.625 cm 3

Lower bound tub volume = 4729.375 cm 3

Upper bound scoop volume = 49.32 cm 3  

Lower bound scoop volume = 46.14 cm 3  

We can divide the upper bound of the ice cream tub by the lower bound of the scoop to get the maximum possible number of scoops. 

Maximum number of scoops = 122.79

Then divide the lower bound of the ice cream tub by the upper bound of the scoop to get the minimum possible number of scoops.

Minimum number of scoops  = 95.89

These both round to 100 to 1 significant figure, Therefore, 100 scoops is a suitable approximation the the number of scoops.

30) Translating graphs

 The diagram shows the graph of y = a+tan(x-b ).

The graph goes through the points (75, 3) and Q (60, q).

Find exact values of a , b and q .

graph of y= a + tan (x-b)

The asymptote has been translated to the right by 30°. 

Therefore, b=30

So the point (45,1) has been translated to the point (75,3). 

Therefore, a=2

We hope these problem solving maths questions will support your GCSE teaching. To get all the solutions and strategies in a printable form, please download the complete resource .

Looking for additional support and resources? You are welcome to download any of the secondary maths resources from Third Space Learning’s resource library for free. There is a section devoted to GCSE maths revision with plenty of maths worksheets and GCSE maths questions . There are also maths tests for KS3, including a Year 7 maths test , a Year 8 maths test and a Year 9 maths test Other valuable maths practice and ideas particularly around reasoning and problem solving at secondary can be found in our KS3 and KS4 maths blog articles. Try these fun maths problems for KS2 and KS3, SSDD problems , KS3 maths games and 30 problem solving maths questions . For children who need more support, our maths intervention programmes for KS3 achieve outstanding results through a personalised one to one tuition approach.

Do you have students who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to plug gaps and boost progress. Since 2013 we’ve helped over 150,000 primary and secondary students become more confident, able mathematicians. Find out more about our GCSE Maths tuition or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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The resources on this page will hopefully help you teach AO2 and AO3 of the new GCSE specification - problem solving and reasoning.

This brief lesson is designed to lead students into thinking about how to solve mathematical problems. It features ideas of strategies to use, clear steps to follow and plenty of opportunities for discussion.

problem solving gcse maths exam questions

The PixiMaths problem solving booklets are aimed at "crossover" marks (questions that will be on both higher and foundation) so will be accessed by most students. The booklets are collated Edexcel exam questions; you may well recognise them from elsewhere. Each booklet has 70 marks worth of questions and will probably last two lessons, including time to go through answers with your students. There is one for each area of the new GCSE specification and they are designed to complement the PixiMaths year 11 SOL.

These problem solving starter packs are great to support students with problem solving skills. I've used them this year for two out of four lessons each week, then used Numeracy Ninjas as starters for the other two lessons.  When I first introduced the booklets, I encouraged my students to use scaffolds like those mentioned here , then gradually weaned them off the scaffolds. I give students some time to work independently, then time to discuss with their peers, then we go through it as a class. The levels correspond very roughly to the new GCSE grades.

Some of my favourite websites have plenty of other excellent resources to support you and your students in these assessment objectives.

@TessMaths has written some great stuff for BBC Bitesize.

There are some intersting though-provoking problems at Open Middle.

I'm sure you've seen it before, but if not, check it out now! Nrich is where it's at if your want to provide enrichment and problem solving in your lessons.

MathsBot  by @StudyMaths has everything, and if you scroll to the bottom of the homepage you'll find puzzles and problem solving too.

I may be a little biased because I love Edexcel, but these question packs are really useful.

The UKMT has a mentoring scheme that provides fantastic problem solving resources , all complete with answers.

I have only recently been shown Maths Problem Solving and it is awesome - there are links to problem solving resources for all areas of maths, as well as plenty of general problem solving too. Definitely worth exploring!

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GCSE Exam Questions – Solving Numerical Problems

GCSE Exam Questions – Solving Numerical Problems

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity


Last updated

12 December 2011

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Brilliant range of questions to help with world problems skills. Thanks for sharing!

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Would be even better with the answers :)

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GCSE Physics Questions Bank Chapter 1-24 PDF book covers problem solving exam tests from physics textbook and practical eBook chapter-wise as: Chapter 1: Electromagnetic Waves Quiz Chapter 2: Energy, Work and Power Quiz Chapter 3: Forces Quiz Chapter 4: General Wave Properties Quiz Chapter 5: Heat Capacity Quiz Chapter 6: Kinematics Quiz Chapter 7: Kinetic Theory of Particles Quiz Chapter 8: Light Quiz Chapter 9: Mass, Weight and Density Quiz Chapter 10: Measurement of Physical Quantities Quiz Chapter 11: Measurement of Temperature Quiz Chapter 12: Measurements Quiz Chapter 13: Melting and Boiling Quiz Chapter 14: Pressure Quiz Chapter 15: Properties and Mechanics of Matter Quiz Chapter 16: Simple Kinetic Theory of Matter Quiz Chapter 17: Sound Quiz Chapter 18: Speed, Velocity and Acceleration Quiz Chapter 19: Temperature Quiz Chapter 20: Thermal Energy Quiz Chapter 21: Thermal Properties of Matter Quiz Chapter 22: Transfer of Thermal Energy Quiz Chapter 23: Turning Effects of Forces Quiz Chapter 24: Waves Physics Quiz Practice Electromagnetic Waves exam questions PDF, chapter 1 test to download quiz questions: Electromagnetic waves. Practice Energy, Work and Power exam questions PDF, chapter 2 test to download quiz questions: Work, power, energy, efficiency, and units. Practice Forces exam questions PDF, chapter 3 test to download quiz questions: Introduction to forces, balanced forces and unbalanced forces, acceleration of freefall, acceleration, effects of forces on motion, forces and effects, motion, scalar, and vector. Practice General Wave Properties exam questions PDF, chapter 4 test to download quiz questions: Introduction to waves, properties of wave motion, transverse and longitudinal waves, wave production, and ripple tank. Practice Heat Capacity exam questions PDF, chapter 5 test to download quiz questions: Heat capacity, and specific heat capacity. Practice Kinematics exam questions PDF, chapter 6 test to download quiz questions: Acceleration free fall, acceleration, distance, time, speed, and velocity. Practice Kinetic Theory of Particles exam questions PDF, chapter 7 test to download quiz questions: Kinetic theory, pressure in gases, and states of matter. Practice Light exam questions PDF, chapter 8 test to download quiz questions: Introduction to light, reflection, refraction, converging lens, and total internal reflection. Practice Mass, Weight and Density exam questions PDF, chapter 9 test to download quiz questions: Mass, weight, density, inertia, and measurement of density. Practice Measurement of Physical Quantities exam questions PDF, chapter 10 test to download quiz questions: Physical quantities, SI units, measurement of density and time, precision, and range. Practice Measurement of Temperature exam questions PDF, chapter 11 test to download quiz questions: Measuring temperature, scales of temperature, and types of thermometers. Practice Measurements exam questions PDF, chapter 12 test to download quiz questions: Measuring time, meter rule, and measuring tape. Practice Melting and Boiling exam questions PDF, chapter 13 test to download quiz questions: Boiling point, boiling and condensation, evaporation, latent heat, melting, and solidification. Practice Pressure exam questions PDF, chapter 14 test to download quiz questions: Introduction to pressure, atmospheric pressure, weather, hydraulic systems, measuring atmospheric pressure, pressure in liquids, and pressure of gases. Practice Properties and Mechanics of Matter exam questions PDF, chapter 15 test to download quiz questions: Solids, friction, and viscosity. Practice Simple Kinetic Theory of Matter exam questions PDF, chapter 16 test to download quiz questions: Evidence of molecular motion, kinetic molecular model of matter, pressure in gases, and states of matter. Practice Sound exam questions PDF, chapter 17 test to download quiz questions: Introduction to sound, and transmission of sound. Practice Speed, Velocity and Acceleration exam questions PDF, chapter 18 test to download quiz questions: Speed, velocity, acceleration, displacement-time graph, and velocity-time graph. Practice Temperature exam questions PDF, chapter 19 test to download quiz questions: What is temperature, physics of temperature, and temperature scales. Practice Thermal Energy exam questions PDF, chapter 20 test to download quiz questions: Thermal energy, thermal energy transfer applications, conduction, convection, radiation, rate of infrared radiations, thermal energy transfer, and total internal reflection. Practice Thermal Properties of Matter exam questions PDF, chapter 21 test to download quiz questions: Thermal properties, boiling and condensation, boiling point, condensation, heat capacity, water and air, latent heat, melting and solidification, specific heat capacity. Practice Transfer of Thermal Energy exam questions PDF, chapter 22 test to download quiz questions: Conduction, convection, radiation, and three processes of heat transfer. Practice Turning Effects of Forces exam questions PDF, chapter 23 test to download quiz questions: Turning effects of forces, center of gravity and stability, center of gravity, gravity, moments, principle of moment, and stability. Practice Waves exam questions PDF, chapter 24 test to download quiz questions: Introduction to waves, and properties of wave motion.

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  1. 30 Problem Solving Maths Questions And Answers For GCSE

    Since the current GCSE specification began, there have been many maths problem solving exam questions which take elements of different areas of maths and combine them to form new maths problems which haven't been seen before.

  2. PDF Answer all questions in the spaces provided

    The new Maths GCSE has an increased focus on problem solving. So that you can help your students practice this type of question, we've refreshed our 90 maths problemsresource so that it's relevant to the new GCSE. Visit All About Maths aqa.maths.aqa.org.ukour free maths resource website to access other resources and guidance. aqamaths.aqa.org.uk

  3. GCSE Maths Questions

    Part of Maths Exam practice GCSE maths quizzes - explained Try these quizzes based on GCSE maths past papers. By working your way through the maths questions created by experts, you...

  4. GCSE Problem Solving Questions of the Day

    This booklet contains over 50 problem solving questions suitable for KS3 and GCSE classes. These are the questions that we have been putting out each day in the run up to GCSE exams. The answers are also provided with each question. There are problems that are suitable for foundation and higher and ones that are suitable for higher tier only.

  5. GCSE Questions

    Tier: Topic: Type: AO: Background: Split Screen Customise using the options above then click 'New Questions' to generate a random GCSE question on your chosen topic. A growing bank of randomly generated GCSE exam style questions with full worked solutions. Perfect for projecting in the classroom.

  6. Problem solving

    AQA Problem solving Part of Maths 6 learner guides Problem solving introduction - AQA Revise Solving 'number' problems - AQA Revise Video Test Solving 'graphical' problems - AQA Revise...

  7. Problem Solving

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  8. GCSE Maths Past Papers & Questions by Topic

    Revision Notes Topic Questions Past Papers Common Questions How to revise for Maths GCSE? How many Maths GCSE papers are there? How to pass Maths GCSE? How many marks to pass GCSE Maths? What happens if you fail Maths GCSE? How to resit GCSE Maths? How to get better at Maths GCSE? What calculators are allowed in GCSE Maths?

  9. PDF Pearson Edexcel GCSE (9-1) Mathematics Resources

    GCSE Resources (cont.) Home Problem-Solving Questions We have created an additional 4 sets of problem-solving questions collated in exam-style practice papers as well as a complete set of 99 problem-solving questions from our past papers. Set 1 Set 2 Set 3 Set 4 99 problem-solving questions Check-in Tests

  10. Problem solving framework

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  11. GCSE Maths: Problem Solving Foundation Questions

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  12. Maths Genie • Learn GCSE Maths for Free

    Grade 7 Grade 8/9 Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. The content is suitable for the Edexcel, OCR and AQA exam boards.

  13. AQA All About Maths

    Further Guidance and Practice questions for the AO2 and AO3 requirements of GCSE Maths. The current GCSE has a greater focus on both Problem Solving (AO3) and Reasoning (AO2). We have produced a guidance document to assist teachers with their understanding of the requirements for each strand of AO2 and AO3. We have also selected 120 questions ...

  14. GCSE 9-1 Exam Question Practice (Creating and Solving Equations)

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  15. Practice Questions

    The Corbettmaths Practice Questions - a collection of exam style questions for a wide range of topics. Perfect to use for revision, as homework or to target particular topics. Answers and video solutions are available for each. Posts navigation Older posts GCSE Revision Cards 5-a-day Workbooks Primary Study Cards Contact us Privacy Policy

  16. PDF (Version 2

    Problem Solving GCSE Questions 3 www.m4ths.com (1) John wants to buy his wife some roses for Valentines Day. They have been together 22 years and John wants to buy 22 roses to celebrate. John has the option of buying the roses from the two companies shown below. Advise John which company to use if he wants to get 22 roses as cheaply as possible.

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    File previews. rtf, 832.4 KB. Worksheet of GCSE exam questions based on Solving Numerical Problems - Good for use as independent work for homework practice of GCSE exam style questions or in class as a worksheet for consolidation and working together in groups during whole class teaching. Report this resource to let us know if it violates our ...

  18. Problem Solving with Areas

    What is problem solving? Problem solving, as far as GCSE Mathematics is concerned, usually has two key features: A question is given as a real-life scenario (eg. Mary is painting a bedroom in her house …) There is normally more than one topic of maths you will need in order to answer the question (eg. Area and Percentages) Problem solving ...

  19. Forming & Solving Equations

    Model Answers. 1 5 marks. Julie and Liam write down the same number. Julie multiplies the number by 5 and then adds 4 to the result. She writes down her answer. Liam subtracts the number from 10. He writes down his answer. Julie's answer is two thirds of Liam's answer. Work out the number that Julie and Liam started with.

  20. Division Practice Questions

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  21. ‎O Level Physics Exam Questions and Answers PDF Download (IGCSE/GCSE

    The Book O Level Physics Exam Questions and Answers PDF Download (IGCSE/GCSE Physics Book 2023-24): Quiz Questions Bank & Textbook Chapter 1-24 Exam Prep Book (Class 9-10 Physics Quiz Questions: Practice Tests & Study Material) includes revision guide for problem solving with hundreds…

  22. Ratio Problem Solving

    Hard Very Hard Model Answers 1 2 marks In a box of pens, there are three times as many red pens as green pens and two times as many green pens as blue pens. For the pens in the box, write down the ratio of the number of red pens to the number of green pens to the number of blue pens. How did you do? Stuck? View related notes Watch Solution

  23. Edexcel GCSE Maths Questions & Answers 2022 (Medium)

    use the iteration formula three times to find an estimate for a solution of. How did you do? Stuck? View related notes. Watch Solution. Did this page help you? Revision notes on 'Multiplication (non-Calc)' for the Edexcel GCSE Maths exam. Designed by the expert teachers at Save My Exams.

  24. Problem solving

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