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
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 StyleAnswer all 10 word problems, just like Papers 2 and 3 of the real test.
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?
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Key Concepts Summary
- ●Area vs perimeter: area multiplies the sides; perimeter adds them.
- ●Ratio: find the value of one "part" first, then scale up.
- ●Range: highest value minus lowest value.
- ●Angles on a straight line: always sum to 180° (unlike a triangle's three angles, which also sum to 180°).
- ●Simple algebra: undo operations in reverse order to find the missing number.