Every card in Geometry and measures, Year 8: more practice
The whole deck, in order — so you can read it through before your child ever sees it.
- A translation moves every point 4 left and 1 up. Point B ends at (0, 6). Where was B before the translation?
(4, 5)
HintReverse the movement: go back 4 right and 1 down.
WhyBefore the move B was 4 to the right and 1 lower: (0 + 4, 6 − 1) = (4, 5). Check: 4 left and 1 up from (4, 5) lands on (0, 6).
- What is the area of a parallelogram with base 3.5 m and perpendicular height 4 m?
14 m²
HintMultiply the base by the perpendicular height.
Why3.5 × 4 = 14, in square metres.
- A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 4 cm. What is its area?
32 cm²
HintFind the mean of the parallel sides, then multiply by the height.
WhyMean of the parallel sides is (6 + 10) ÷ 2 = 8, and 8 × 4 = 32 cm².
- A trapezium has area 45 cm² and parallel sides of 7 cm and 11 cm. What is the height between them?
5 cm
HintWrite the area formula with h as the unknown, then solve.
Why45 = ½ × (7 + 11) × h = 9h, so h = 5. Check: ½ × 18 × 5 = 45.
- A circle has radius 4 cm. Find its circumference to 1 decimal place, using the π button.
25.1 cm
HintCircumference is π times the diameter, and the diameter is twice the radius.
Whyd = 8 cm, so C = π × 8 = 25.13… ≈ 25.1 cm.
- Point (2, 1) is rotated 90° clockwise about the origin. Where does it land?
(1, −2)
HintPicture the point turning like a clock hand. It starts to the right of and above the origin and ends below.
WhyA 90° clockwise turn sends (x, y) to (y, −x). The point lands 1 right and 2 down, at (1, −2).
- A 2 cm by 5 cm rectangle is enlarged by scale factor 4. What is the perimeter of the image?
56 cm
HintFind the new side lengths first.
WhyThe sides become 8 cm and 20 cm, so the perimeter is 2 × (8 + 20) = 56 cm. The original perimeter, 14 cm, is also multiplied by 4.
- A prism has a cross-section area of 12 cm² and is 9 cm long. What is its volume?
108 cm³
HintVolume of a prism = area of cross-section × length.
Why12 × 9 = 108, and the units are cubic because three lengths are multiplied.
- A prism has volume 150 cm³ and length 6 cm. What is the area of its cross-section in cm²? (number only)
25
HintWork backwards: volume = cross-section area × length.
Why150 ÷ 6 = 25. Check: 25 × 6 = 150.
- Find the total surface area of a cuboid that is 2 cm by 3 cm by 4 cm.
52 cm²
HintA cuboid has three pairs of identical faces.
WhyThe faces are 2 × 3 = 6, 2 × 4 = 8 and 3 × 4 = 12. The total is 2 × (6 + 8 + 12) = 52 cm².
1★ KS3-MATH-GEO-0104
2★ KS3-MATH-GEO-0105
3★ KS3-MATH-GEO-0106
4★ KS3-MATH-GEO-0107
5★ KS3-MATH-GEO-0108
6★ KS3-MATH-GEO-0109
7★ KS3-MATH-GEO-0110
8★ KS3-MATH-GEO-0111
9★ KS3-MATH-GEO-0112
10★ KS3-MATH-GEO-0113
Keep what you learn
Here, nothing is saved. In your child’s own sky every card is scheduled — it comes back just before they’d forget it — and the professor who wrote it is one tap away.