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Practise

Question bank

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

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2730 questions · page 71 of 137 · choose a topic above to narrow them down

SA-4024-PR-0072 marksL2 StandardNon-calculatorWithout replacement
A bag contains 44 red and 66 blue balls. Two are taken at random without replacement. Find the probability that both are red.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR3-0033 marksL2 StandardNon-calculatorWithout replacement
A bag has 55 red and 33 green balls. Two are taken without replacement. Find the probability that they are different colours.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST-0012 marksL2 StandardCalculatorFrequency tables
The scores of 2020 students are: score 11 (frequency 33), score 22 (frequency 55), score 33 (frequency 88), score 44 (frequency 44). Calculate the mean score.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST-0052 marksL2 StandardNon-calculatorCharts & tables
In a pie chart, a sector of 72∘72^\circ represents 3030 people. How many people does the whole pie chart represent?

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST-0062 marksL2 StandardNon-calculatorAverages
The mean of five numbers is 1212. Four of them are 1010, 88, 1515 and 1111. Find the fifth number.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST-0072 marksL2 StandardNon-calculatorAverages
The mean of 88 numbers is 1515. A ninth number, 2424, is added. Find the new mean.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST-0102 marksL2 StandardNon-calculatorFrequency density
In a histogram, the class 30<x≤5030<x\le50 has a frequency density of 0.80.8. Find the frequency of this class.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST3-0062 marksL2 StandardCalculatorMedian & quartiles
Using the table (≤10\le10: 55; ≤20\le20: 1717; ≤30\le30: 3535; ≤40\le40: 4040) and straight lines between the points, estimate the median.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ST5-0042 marksL2 StandardNon-calculatorTypes of data
In a random sample of 5050 students from a school of 10001000, 1212 walk to school. Estimate how many students in the school walk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0063 marksL2 StandardCalculatorSine rule
In triangle ABCABC, angle A=40∘A=40^\circ, angle B=65∘B=65^\circ and a=12a=12 cm. Find bb, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0073 marksL2 StandardCalculatorCosine rule & area
In triangle ABCABC, b=7b=7 cm, c=9c=9 cm and angle A=50∘A=50^\circ. Find aa, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0083 marksL2 StandardCalculatorCosine rule & area
A triangle has sides 55 cm, 77 cm and 99 cm. Find its largest angle, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0122 marksL2 StandardNon-calculator3D lengths
A cuboid measures 66 cm by 88 cm by 2424 cm. Find the length of its longest diagonal.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR2-0032 marksL2 StandardCalculatorFinding sides
In a right-angled triangle, the side opposite a 25∘25^\circ angle is 66 cm. Find the hypotenuse, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR3-0013 marksL2 StandardCalculatorSine rule
In triangle ABCABC, a=9a=9 cm, angle A=50∘A=50^\circ and b=7b=7 cm. Find angle BB, to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR4-0022 marksL2 StandardCalculator3D lengths
A cube has edges of 44 cm. Find the length of the diagonal from one corner to the opposite corner through the cube, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV-0062 marksL2 StandardNon-calculatorEnlargements
Find the image of (2,3)(2,3) under an enlargement with scale factor 33 and centre (1,1)(1,1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV-0072 marksL2 StandardNon-calculatorEnlargements
Find the image of (3,−1)(3,-1) under an enlargement with scale factor −2-2 and centre the origin.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV1-0022 marksL2 StandardNon-calculatorTranslate & reflect
The point (−3,4)(-3,4) is reflected in the line y=−xy=-x. Find its image.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV2-0032 marksL2 StandardNon-calculatorEnlargements
Find the image of (5,3)(5,3) under an enlargement with scale factor 22 and centre (1,1)(1,1).

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Salam Academy Original Practice · Proposed mark scheme