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IGCSE Mathematics Practice Worksheets & Answer Key

Download an 8-question IGCSE Mathematics worksheet with a separate answer and explanation section. The selected text questions work without a screen or an account.

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Version 2026-10-27 · Original foundation materials · No sign-up

What this collection covers

Extended foundations · exam years 2025–2027.

This fixed sample includes one question per selected skill before additional families. Questions requiring a separate diagram are excluded from this text worksheet. It is an untimed study resource with working space, rather than an official mock examination.

Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.

Inside the printable worksheet

8 original questionsSeparate explanationsUS Letter · PDF · Version 2026-10-27

Print the question section first. Keep the answer section separate until you have written your method or reason. Use the linked lessons to review a missed idea, then start a new set in the practice tool.

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Questions included in this PDF

QUESTION 1 · Exact number and place value

Without a calculator, evaluate 3/6 + 4/3.

  1. 7/9
  2. 2/3
  3. 7/6
  4. 11/6
Read the answer and explanation

Answer: 11/6

  1. Use denominator 6 for both terms.
  2. The numerator becomes 3+2(4)=11.
  3. Reduce the fraction if possible.
Review the lesson
QUESTION 2 · Equations and algebraic structure

What is the coefficient of x when (4x+2)(x+3) is expanded?

  1. 12
  2. 14
  3. 10
  4. 4
Read the answer and explanation

Answer: 14

  1. The x terms come from the two cross-products.
  2. They are 12x and 2x.
  3. Add their coefficients.
Review the lesson
QUESTION 3 · Coordinates, gradients and lines

Find the gradient of the line through A(6,1) and B(10,19).

    Read the answer and explanation

    Answer: 9/2

    1. Subtract y-coordinates and x-coordinates in the same order.
    2. The rise is 18 and the run is 4.
    3. Divide rise by run.
    Review the lesson
    QUESTION 4 · Probability with and without replacement

    A bag contains 6 red and 2 blue counters. Two counters are drawn uniformly at random without replacement. Find the probability both are red.

      Read the answer and explanation

      Answer: 15/28

      1. The first red probability is 6/8.
      2. After red is removed, the second is 5/7.
      3. Multiply the two probabilities along this path.
      Review the lesson
      QUESTION 5 · Ratios and percentage changes

      A jacket costs 112 dollars after a 20% discount. What was its original price in dollars?

      1. 112
      2. 140
      3. 448/5
      4. 672/5
      Read the answer and explanation

      Answer: 140

      1. The sale price is 80% of the original.
      2. Divide by 0.8 rather than adding 20% of the sale price.
      3. The original price is 140 dollars.
      Review the lesson
      QUESTION 6 · Quadratics and number patterns

      Find the larger root of x²−11x+28=0.

      1. 11
      2. 4
      3. 7
      4. 28
      Read the answer and explanation

      Answer: 7

      1. Factor as (x−4)(x−7)=0.
      2. Set each factor to zero.
      3. Compare 4 and 7.
      Review the lesson
      QUESTION 7 · Angles and similar shapes

      What is each interior angle, in degrees, of a regular 8-sided polygon?

      1. 60
      2. 135
      3. 45/2
      4. 45
      Read the answer and explanation

      Answer: 135

      1. The exterior turning angles total 360 degrees.
      2. Divide 360 by the number of equal angles.
      3. Subtract one exterior angle from 180 degrees.
      Review the lesson
      QUESTION 8 · Summaries from frequency data

      A data set contains two values equal to 5 and three values equal to 10. Find its mean.

      1. 10
      2. 8
      3. 20
      4. 40
      Read the answer and explanation

      Answer: 8

      1. Compute the frequency-weighted total.
      2. There are five observations in all.
      3. Divide the total by five.
      Review the lesson

      Sources and preparation route

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