Grade 7 Mathematics End Term 3 Exam With Answers

The first five questions are free with worked answers. Unlock the full exam, timer and complete review with a KSh 20 Day Pass (one day, pays once, nothing renews by itself).

Schools set their own end-of-term papers, so formats vary. We use a layout that mirrors the Grade 9 KJSEA Mathematics paper: Section A has 20 one-mark multiple-choice questions, and Section B has problems where your child types the final answer, 5 marks each. In a school exam, Section B answers are written out and teachers give marks for working; our online version marks the final answer, then shows the full working so your child can check every step.

• Numbers: place value and rounding to millions, prime factorisation, GCD, operations on fractions and decimals, ordering fractions, squares and square roots.
• Algebra: simplifying expressions by collecting like terms, substitution with negative numbers and solving linear equations, including brackets.
• Measurement: converting m² to cm², area of a parallelogram, circumference of a circle, tiling a floor, Pythagoras, profit percentage, simple interest, the 24-hour clock and rates.
• Geometry: supplementary angles and interior angles of regular polygons.
• Data handling: pie-chart angles and the mean.

Units. The tiling problem is a classic: the floor is in metres but the tiles are in centimetres. Convert first (50 cm = 0.5 m), then divide the areas. Most wrong answers come from mixing units, not from hard arithmetic.

Negative numbers. Substituting b = −2 into 2a − 3b gives 2a + 6, because subtracting a negative is adding. Encourage your child to write the brackets: 2(3) − 3(−2).

Checking. After solving an equation, put the answer back in. If x = 7 in 3(x + 4) = 2x + 19, both sides should equal 33. This takes twenty seconds and catches most slips.

• Confusing place value (ten thousands) with value (50,000).
• Calculating profit percentage on the selling price instead of the cost price.
• Using the radius instead of the diameter with C = πd.
• Adding all the angles of a polygon instead of finding one interior angle.
• Writing 14:30 as 4.30 p.m.; subtract 12 to get 2.30 p.m.

Section A is worth 20 marks and should take about 30 minutes: roughly a minute and a half per question, with time to work each one out on rough paper before choosing. That leaves about an hour for the six Section B problems, ten minutes each, and a few minutes at the end to check. If a multiple-choice question is taking too long, mark it and move on; Section B problems carry five times as many marks, so they deserve the time.

After marking, list the topics of every wrong answer and practise them with the Grade 7 CBC Challenge. More Grade 7 exams are on the Grade 7 revision papers page, and the Grade 7 guide explains the whole curriculum. Looking ahead, the KJSEA Mathematics practice paper shows where these skills lead.