Year 6: Area, volume, coordinates and averages

Write your answers on paper. Try each question before opening its answer.

1. A triangle has base 10 cm and perpendicular height 6 cm. Find its area.

   Show answer and explanation

   30 square centimetres

   Half of 10 x 6.

2. A parallelogram has base 7 cm and perpendicular height 4 cm. Find its area.

   Show answer and explanation

   28 square centimetres

   7 x 4 = 28.

3. A cuboid measures 5 cm by 3 cm by 4 cm. Find its volume.

   Show answer and explanation

   60 cubic centimetres

   5 x 3 x 4 = 60.

4. Reflect the point (3, -2) in the y-axis (the vertical axis).

   Show answer and explanation

   (-3, -2)

   The horizontal coordinate changes sign.

5. Move (-4, 1) three units right and two units down. Give the new coordinates.

   Show answer and explanation

   (-1, -1)

   Add 3 to the first coordinate and subtract 2 from the second.

6. Find the mean of 4, 7, 8 and 9.

   Show answer and explanation

   7

   The total is 28; divide by 4.

7. Two angles of a triangle are 48 degrees and 67 degrees. Find the third angle.

   Show answer and explanation

   65 degrees

   180 - 48 - 67 = 65.

8. Four children collect 6, 8, 10 and 12 shells. A fifth child joins. The new mean is 9. How many shells has the fifth child?

   Show answer and explanation

   9

   Five lots of 9 total 45; the first four have 36; 45 - 36 = 9.

All questions, passages and answer guidance were written originally for Trace Learn. Curriculum sources define the teaching scope only.

Curriculum source checked 2026-09-30.