Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

16 questions

SA-9709-P1-CM-0011 markL1 FoundationCalculatorConverting

Convert

2.5

radians to degrees, correct to 1 decimal place.

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SA-9709-P1-CM1-0011 markL1 FoundationCalculatorConverting

Convert

72^\circ

to radians, giving an exact answer.

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SA-9709-P1-CM1-0021 markL1 FoundationCalculatorConverting

Convert

\dfrac{5\pi}{12}

radians to degrees.

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SA-9709-P1-CM1-0031 markL1 FoundationCalculatorConverting

Convert

1.2

radians to degrees, correct to 1 decimal place.

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SA-9709-P1-CM1-0041 markL1 FoundationCalculatorConverting

Convert

40^\circ

to radians, correct to 3 significant figures.

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SA-9709-P1-CM1-Q011 markL1 FoundationCalculatorExact values

A right angle is

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SA-9709-P1-CM-G012 marksL1 FoundationCalculatorConverting

(a) Convert

150^\circ

to radians, giving an exact answer. (b) Convert

\dfrac{3\pi}{4}

radians to degrees.

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SA-9709-P1-CM-Q011 markL1 FoundationCalculatorConverting

One radian is approximately

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SA-9709-P1-CM-Q031 markL1 FoundationCalculatorConverting

\dfrac{\pi}{6}

radians is

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SA-9709-P1-CM-0131 markL2 StandardCalculatorConverting

Convert

225^\circ

to radians, giving an exact answer.

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SA-9709-P1-CM1-0051 markL2 StandardCalculatorConverting

Which of these angles is the largest?

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SA-9709-P1-CM1-0061 markL2 StandardCalculatorRotation

Find the angle, in radians, that the minute hand of a clock turns through in

20

minutes. Give an exact answer.

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SA-9709-P1-CM1-0072 marksL2 StandardCalculatorExact values

Two angles of a triangle are

\dfrac{\pi}{4}

and

\dfrac{\pi}{3}

. Find the third angle, exactly, in radians.

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SA-9709-P1-CM1-0082 marksL2 StandardCalculatorExact values

Write down the exact values of

\sin\dfrac{\pi}{6}

and

\tan\dfrac{\pi}{3}

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SA-9709-P1-CM1-0091 markL2 StandardCalculatorRotation

The Earth turns once on its axis every

24

hours. Find the angle it turns through in one hour, in radians, exactly.

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SA-9709-P1-CM1-0103 marksL4 ChallengingCalculatorRotation

A car wheel has radius

0.3

m and turns at

600

revolutions per minute. Find (a) the angle it turns through each second, in radians, exactly, and (b) the speed of the car in m/s, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme