← GCSE Mathematics

Exam practice — week 41 — GCSE Mathematics section

2026-10-07 · check · 1 paper · 9/25 · 36% · not grade-converted

Exam Skills test #7, typed on the portal, sat 30 min for the whole paper.

exam-skills #7 9/25

sat 2026-10-07 · 0 left blank

QTopicMarksQuestionAnswer givenNote
1N1-N30/1Circle the value of 2 + 3 × 4 − 1 19 13 14 20 [1 mark]19B0: 19 given. 13 required. 19 is (2 + 3) × 4 − 1, i.e. worked left to right with the addition before the multiplication. 0 min on focus.
2N11-N120/1Circle the calculation that increases 240 by 7.5% 240 × 1.075 240 × 0.075 240 × 1.75 240 × 7.5 [1 mark]240*7.5%B0: typed '240*7.5%' — not one of the four printed options. Equivalent to 240 × 0.075, which is the increase alone, not the increased amount. 240 × 1.075 required.
3N140/2Estimate the value of (8.72 × 3.9) ÷ 0.48 You must show your working. [2 marks] Answer ______skip Working: 8*3=24,0.72*100=72,0.9*100=90,72*90=6300+180=6480,6480/100=64.8,24*68.8=92.8,92.8/0.48M0: no rounding to 1 s.f. seen (9, 4, 0.5 required). Working is an attempt at the exact product by partitioning ('8*3=24, 0.72*100=72, 0.9*100=90, 72*90=6300+180=6480, 6480/100=64.8, 24*68.8=92.8, 92.8/0.48') with arithmetic errors; never reaches a value. A0: answer line 'skip'. 18 min on focus against a 2 min guide — the paper's time hog. Command word 'Estimate' not acted on.
4G30/2Each interior angle of a regular polygon is 156° Work out the number of sides of the polygon. [2 marks] Answer ______skipM0 A0: 'skip' typed, no working, 1 min on focus. Not attempted (the portal does not count it as blank because text was entered).
5A173/3Solve 5(x − 2) = 2x + 11 You must show your working. [3 marks] x = ______x = 7 Working: 5x - 10 = 2x + 11, 5x = 2x + 21, 3x = 21, x = 7M1 5x − 10 = 2x + 11. M1 3x = 21 (via 5x = 2x + 21). A1 x = 7. Full working shown, 2 min against a 3 min guide.
6A50/3Make t the subject of a = (3t + 1)/(t − 2) [3 marks] Answer ______skipM0 M0 A0: 'skip' typed, no working, 0 min on focus. The stretch item (A5). Not attempted.
7N102/3x = 0.363636… (the digits 36 recur) Show that x = 4/11 [3 marks]x*100 = 100x, 100x - x = 99x = 36, 36/99 = 4/11 Working: x*100 = 100x, 100x - x = 99x = 36, 36/99 = 4/11M0 (first): the line 100x = 36.36… is never written — 'x*100 = 100x' carries no decimal, so the step that produces 36 is not shown. M1: '100x − x = 99x = 36', subtraction shown. A1: 36/99 = 4/11 seen. The alternative reading (first M implied by 99x = 36, A0 for an incomplete show-that with no 'x =') gives the same 2. No cue on the paper; 1 min on focus.
8A9-A101/3A straight line passes through the points (2, 5) and (6, 13) Work out the equation of the line. Give your answer in the form y = mx + c [3 marks] Answer ______y = 2x + 2.5M1: gradient 2 implied by 'y = 2x + …' (no working shown; benefit of the doubt). M0: no substitution of a point seen. A0: c given as 2.5 (possibly 5 ÷ 2 from the first point); y = 2x + 1 required. No working on a 3-mark question; 1 min on focus.
9S43/3The mean of five numbers is 12 A sixth number is added and the mean of the six numbers is 13 Work out the sixth number. [3 marks] Answer ______18 Working: 13*6=78,12*5=60,78-60=18M1 12 × 5 = 60. M1 13 × 6 = 78. A1 18. Working shown, 2 min against a 3 min guide.
10A210/4A rectangle has length (2x + 3) cm and width (x − 1) cm. The perimeter of the rectangle is 34 cm. Work out the area of the rectangle. [4 marks] Answer ______ cm^2skipM0 A0 M0 A0: 'skip' typed, no working, 1 min on focus. Not attempted.

Marks by topic

Ordered by marks lost. These are the candidates for reteaching.

TopicNameMarksLost
A21Forming equations and formulae from context0/44
A5Rearranging formulae0/33
A9-A10Linear graphs, y = mx + c, gradient1/32
G3Angles: parallel lines and polygons0/22
N14Estimation and rounding0/22
N1-N3Place value, four operations, negatives, order of operations0/11
N10Fractions and decimals, recurring decimals2/31
N11-N12Fractions of amounts, percentages as operators0/11
A17Solving linear equations3/30
S4Averages from data and frequency tables3/30