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Themed maths

End-of-year maths quiz for IGCSE and GCSE

A five-round team quiz on the whole year for the last lesson of term: five questions in each round, getting harder, with every answer worked out. Read it aloud, print it, or play it on the projector as a Jeopardy board with team scores.

Level
IGCSE and GCSE (Higher and Extended)
Time
40 minutes, plus a 5-minute extension
Topics
Number; Algebra; Shape and space; Statistics and probability
Equipment
No calculator needed.

Download student sheet (PDF)Answers (PDF)

Suggested timings

PartTimeWhat
Starter5 minQuick questions on the board
Main: round 17 minNumber
Main: round 27 minAlgebra
Main: round 37 minShape and space
Main: round 47 minData and chance
Main: round 57 minMixed bag
Extension5 minFast finishers or homework

Starter (5 minutes)

Warm-up while teams get settled.

  1. Work out 6 × 7.
  2. Work out √81.

Main activity (35 minutes)

Play it on the projector

Opens these five rounds on our Jeopardy board for teams (teacher sign-in): pick a round and a points value, reveal the answer, award the points.

Round 1: Number (7 min)

Five questions, getting harder.

  1. Write 0.00072 in standard form.
  2. Find the HCF of 84 and 126.
  3. Increase £240 by 15%.
  4. Write 0.444… (recurring) as a fraction.
  5. After a 20% reduction a price is £96. Find the original price.

Round 2: Algebra (7 min)

Five questions, getting harder.

  1. Solve 5x − 3 = 17.
  2. Factorise x2 − 9x + 20.
  3. Find the nth term of 7, 12, 17, 22, …
  4. Solve x + y = 10 and x − y = 4.
  5. Solve x2 − 6x + 4 = 0, giving exact answers.

Round 3: Shape and space (7 min)

Five questions, getting harder.

  1. Find the area of a trapezium with parallel sides 6 cm and 10 cm and height 4 cm.
  2. Find the size of each interior angle of a regular octagon.
  3. A right-angled triangle has shorter sides 9 cm and 12 cm. Find the hypotenuse.
  4. A circle has area 49π cm2. Find its circumference in terms of π.
  5. Two similar cylinders have heights 4 cm and 6 cm. The smaller has volume 80 cm3. Find the volume of the larger.

Round 4: Data and chance (7 min)

Five questions, getting harder.

  1. Find the median of 3, 8, 5, 9, 2, 7.
  2. P(rain) = 0.35. Find P(no rain).
  3. The mean of five numbers is 12. Four of them are 10, 15, 9 and 14. Find the fifth.
  4. Two fair coins are thrown. Find P(two heads).
  5. A bag has 4 red and 6 blue counters. Two are taken without replacement. Find P(both red).

Round 5: Mixed bag (7 min)

Five questions, getting harder.

  1. How many seconds are there in an hour?
  2. Work out 1 + 2 + 3 + … + 10.
  3. How many edges does a cube have?
  4. What is the first prime number after 89?
  5. How many diagonals does a hexagon have?

Extension (5 minutes)

If two teams are level at the end.

  1. Tie-break, closest wins: how many seconds are there in a week?

For teachers

Teacher notes and full worked answers
  • How to run it: teams of three or four with a mini whiteboard. Read each question out (or use ‘Play it on the projector’ above for a Jeopardy board with team scores). Questions get harder through each round: 1 point for question 1 up to 5 points for question 5, or use the board’s 100 to 500.
  • Tie-break: every team writes one estimate; the closest wins.

Starter

  1. 42
    • 6 × 7 = 42
  2. 9
    • 9 × 9 = 81

Round 1: Number

  1. 7.2 × 10−4
    • Move the decimal point 4 places.
  2. 42
    • 84 = 2 × 42, 126 = 3 × 42
  3. £276
    • 240 × 1.15 = 276
  4. 4/9
    • 10x − x = 4
  5. £120
    • 96 ÷ 0.8 = 120

Round 2: Algebra

  1. x = 4
    • 5x = 20
  2. (x − 4)(x − 5)
    • −4 × −5 = 20 and −4 + −5 = −9
  3. 5n + 2
    • Difference 5; 7 − 5 = 2
  4. x = 7, y = 3
    • Add: 2x = 14
  5. x = 3 ± √5
    • (x − 3)2 = 5

Round 3: Shape and space

  1. 32 cm2
    • ½ × (6 + 10) × 4 = 32
  2. 135°
    • Exterior angle 360 ÷ 8 = 45
    • 180 − 45 = 135
  3. 15 cm
    • √(81 + 144) = 15
  4. 14π cm
    • r = 7
    • 2π × 7 = 14π
  5. 270 cm3
    • Length scale factor 3/2, volume scale factor 27/8
    • 80 × 27/8 = 270

Round 4: Data and chance

  1. 6
    • 2, 3, 5, 7, 8, 9
    • (5 + 7) ÷ 2 = 6
  2. 0.65
    • 1 − 0.35
  3. 12
    • 60 − 48 = 12
  4. 1/4
    • ½ × ½
  5. 2/15
    • 4/10 × 3/9 = 12/90 = 2/15

Round 5: Mixed bag

  1. 3600
    • 60 × 60
  2. 55
    • 10 × 11 ÷ 2
  3. 12
    • 4 on top, 4 on the bottom, 4 upright
  4. 97
    • 90 to 96 all have a factor; 97 is prime.
  5. 9
    • 6 × 3 ÷ 2 = 9

Extension

  1. 604 800
    • 60 × 60 × 24 × 7 = 604 800

The same answers are in the answers PDF. Every answer was recomputed by computer before publishing.

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