Every card in Geometry and measures, Year 7: more practice
The whole deck, in order — so you can read it through before your child ever sees it.
- When you measure an angle with a protractor, where must its centre mark be placed?
On the vertex (the corner) of the angle
HintIt goes where the two arms meet.
WhyThe baseline of the protractor must also lie along one arm, so the other arm points to the reading on the scale.
- An angle is clearly acute but one protractor scale reads 125°. What is the angle, and why?
55° — read the other scale (180° − 125°)
HintAn acute angle is less than 90°.
WhyProtractors have two scales running in opposite directions. Start from 0° on the arm you are lined up with; 125° is the reading from the other end, and 180° − 125° = 55°.
- You construct a triangle with sides 5 cm, 6 cm and 7 cm. Which instrument finds where the two longer sides meet?
Compasses, drawing two arcs
HintDraw the 7 cm base first, then you need two curves that cross.
WhyFrom one end of the base draw an arc of radius 5 cm, and from the other end an arc of radius 6 cm. They cross at the third vertex.
- A triangle is drawn from two sides and the angle between them. What is this called, using letters?
SAS (side, angle, side)
HintThe known corner sits between the two lengths.
WhySAS fixes one triangle only. The angle must lie between the two known sides; a given angle that is not between them can give two different triangles.
- A cuboid has volume 60 cm³, length 5 cm and width 4 cm. What is its height in cm? (number only)
3
HintVolume is length × width × height, so work backwards by dividing.
WhyThe base area is 5 × 4 = 20 cm², and 60 ÷ 20 = 3. Check: 5 × 4 × 3 = 60.
- Does a parallelogram that is not a rectangle or a rhombus have any lines of symmetry?
No, it has none
HintImagine folding it along a diagonal or through the midpoints of opposite sides.
WhyFolding along a diagonal makes the two halves match in size but the corners do not land on each other. It does have rotational symmetry of order 2.
- What is the order of rotational symmetry of a rectangle that is not a square?
2
HintCount how many positions in a full turn look exactly the same.
WhyA rectangle fits onto itself after a half turn and after a full turn, so its order is 2.
- Point (3, 2) is reflected in the y-axis. What are the coordinates of its image?
(−3, 2)
HintThe y-axis is vertical: which way does the point move, and does its height change?
WhyThe image is the same distance from the mirror line on the other side, and 2 up as before. Reflecting in the y-axis changes the sign of x.
- A pencil measures 14.6 cm on a ruler. How long is it in millimetres? (number only)
146
HintOne centimetre is split into ten small divisions on a ruler.
Why1 cm = 10 mm, so 14.6 × 10 = 146 mm. The 0.6 cm is six of the small divisions.
- What is the name of a straight line that joins two points on a circle but does not have to pass through the centre?
A chord
HintIt is not a radius or a diameter.
WhyA chord joins any two points on the circumference. The longest chord passes through the centre and is a diameter.
1★ KS3-MATH-GEO-0094
2★ KS3-MATH-GEO-0095
3★ KS3-MATH-GEO-0096
4★ KS3-MATH-GEO-0097
5★ KS3-MATH-GEO-0098
6★ KS3-MATH-GEO-0099
7★ KS3-MATH-GEO-0100
8★ KS3-MATH-GEO-0101
9★ KS3-MATH-GEO-0102
10★ KS3-MATH-GEO-0103
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.