Measuring and constructing angles: question bank

Q1

FoundationThe geometry box

Which tool in the geometry box is used to draw circles and arcs?

DividerCompassProtractorSet square

Q2

FoundationThe geometry box

What is a divider mainly used for?

Drawing straight linesMeasuring angles in degreesComparing and copying lengthsDrawing right angles

Q3

FoundationThe geometry box

What are the three angles of the 45° set square?

30°, 60°, 90°45°, 45°, 90°45°, 60°, 75°60°, 60°, 60°

Q4

CoreThe geometry box

On Kabir's old ruler the 0 mark is 3 mm in from the end. He lines up the end of the ruler with the start of a line and reads 8.3 cm at the other end of the line. What is the true length of the line, in cm?

Your answer (cm)

Q5

CoreThe geometry box

True or false: in a ruler-and-compass construction, you may use the ruler's centimetre marks to measure lengths.

TrueFalse

Q6

CoreThe geometry box

You need to draw a circle of radius 3.5 cm and then a 123° angle at its centre. Which two tools do you need, in order?

Compass, then protractorDivider, then set squareProtractor, then compassSet square, then compass

Q7

StretchThe geometry box

Why should the hinge of a compass be tight before you construct a 60° angle?

So the width cannot change between the two arcs, keeping all three sides of the triangle equalSo the pencil stays sharpSo the arc is darkerIt does not matter for 60°

Q8

FoundationReading a protractor

The second arm of an acute angle crosses the protractor where the scales show 50 and 130. What is the angle?

Your answer (°)

Q9

FoundationReading a protractor

The correct scale reads 35 where the second arm crosses. What does the other scale read at that point?

Your answer

Q10

CoreReading a protractor

An angle is clearly wider than a right angle. Its second arm crosses where the scales show 70 and 110. What is the angle?

Your answer (°)

Q11

CoreReading a protractor

You line up an arm with the base line so that it points to the left of the centre point. Which of the protractor's two scales do you read?

The scale whose 0 is at the right-hand endThe scale whose 0 is at the left-hand endWhichever number is smallerWhichever number is bigger

Q12

CoreReading a protractor

Ravi measures the angle at the tip of a slice of pizza and writes 150°. The tip is clearly sharp and narrow. What is the most likely true size of the angle?

Your answer (°)

Q13

CoreReading a protractor

At which reading do both scales of a protractor show the same number?

Your answer

Q14

StretchReading a protractor

The two scales at the crossing point differ by 40. The angle is obtuse. What is it?

Your answer (°)

Q15

ChallengeReading a protractor

The two readings at the crossing point differ by 100, and the angle is acute. What is the angle?

Your answer (°)

All 74 questions