Past Exam Papers

In the figure, ABC is a straight line. Find the magnitude of ∠DAB based on the given information.

A rectangular sheet of paper of area 880 cm² has been pasted such that it exactly covers the curved surface of a solid right circular cylinder of base radius 14 cm. Find the height of the cylinder.

Solve: x² − 36 = 0

Fill in the blanks using suitable words. The opposite _______ of a parallelogram are equal. The _______ of a parallelogram is bisected by each of its diagonals.

The diameter of the circle shown in the figure is PQ. Find the value of x based on the given information.

A composite figure consisting of a semicircle of radius 7 cm and a triangle is shown here. Find the area of the entire figure.

See the figure for the full question.

Based on the information given in the Venn diagram, write the set A′ ∪ B′ in terms of its elements.

Find the gradient of the straight line that passes through the points (0, 8) and (2, 4).

Simplify: (3a)/(10b) ÷ 9/(5b)

A man intended to distribute a certain amount of money he had, by giving 2/5 to his wife and the remaining amount equally to his three sons. However, he had to give 1/6 of this amount to his brother before he distributed it as intended. He distributed the remaining amount as originally intended. (i) What fraction of the initial amount that the man had, did the wife receive? (ii) What fraction of the initial amount did he have remaining after giving his brother and his wife? (iii) The amount a son received was 40 000 rupees less than the amount he was to receive originally. Find the amount the man had initially.

(a) Customs duty of 30% is charged when electrical items are imported. If 9 000 rupees has to be paid as customs duty when an item of this type is imported, what is the value of the item which is being imported? (b)(i) The annual assessed value of a house is 30 000 rupees. If the municipal council charges annual rates of 8% on this property, find how much has to be paid as rates for a quarter. (ii) After several years, the assessed value of the house changed. The annual rates percentage that the municipal council charges also increased to 9%. If the amount to be paid as rates for a quarter increased by 30 rupees as a result, find the new annual assessed value of the house.

Given below is a grouped frequency distribution of 48 continuous data. All data ≥ 10 but < 20 belong to class interval 10–20 (and so on). Class Interval | Frequency | Cumulative Frequency 10–20 | 6 | 6 20–30 | 8 | 14 30–40 | 12 | 26 40–50 | 15 | __ 50–60 | 5 | __ 60–70 | __ | 48 (i) Fill in the blanks in the table. (ii) Draw the cumulative frequency curve on the given coordinate plane and obtain the median. (iii) By how much does the median deviate from the midpoint of the class interval it belongs to?