BrightPath
Back to Lessons
Pax the Koala thinking
Year 6 KS2 SATs Maths — Reasoning — Set 2

Year 6 KS2 SATs — Maths Reasoning (Set 2)

A second round of Papers 2 & 3 practice — fresh multi-step word problems across money, area, ratio, statistics, algebra and angles.

Exam Tips for Maths Papers 2 & 3

1. Don't confuse area and perimeter — area multiplies the sides, perimeter adds them.
2. For ratio problems, always work out what one "part" is worth before scaling up.
3. For algebra, undo operations in reverse order — whatever was done last to the unknown, undo it first.
4. Show your working — marks are often available for a correct method, even with an arithmetic slip at the end.

What This Set Covers

Money, Multi-Step

Real-world problems combining several operations in one question.

Area

Calculating the area of rectangles from their length and width.

Ratio & Proportion

Sharing amounts in a given ratio.

Statistics

Finding the range of a data set.

Algebra

Solving for a missing number in a simple equation.

Angles & Measurement

Angles on a straight line, and converting between units of measurement.

Knowledge Check

KS2 Reasoning Style

Answer all 10 word problems, just like Papers 2 and 3 of the real test.

Score: 0 / 0

Question 1 — Money, multi-step

Tickets to a museum cost £6.20 for adults and £3.80 for children. A group buys 3 adult and 4 child tickets. How much do they spend in total?

Question 2 — Measurement

A rectangular playground is 15m long and 8m wide. What is its area?

Question 3 — Fractions & proportion

5/9 of a school's 180 students play a sport. How many students play a sport?

Question 4 — Ratio

Paint is mixed in the ratio 2:3 (blue:white). If 400ml of blue paint is used, how much white paint is needed?

Question 5 — Statistics

The temperatures over a week were: 18, 21, 15, 24, 19, 22, 17 (°C). What is the range?

Question 6 — Algebra

If 5n − 3 = 27, what is n?

Question 7 — Measurement, unit conversion

How many grams are there in 3.2 kilograms?

Question 8 — Time

A film starts at 19:15 and lasts 2 hours 40 minutes. What time does it finish?

Question 9 — Geometry, angles

Two angles on a straight line are 118° and x°. What is x?

Question 10 — Multi-step reasoning

A box of 8 chocolates costs £3.20. How much would 3 boxes cost?

Key Concepts Summary