Reinforcement Worksheet
Section A: Objective Questions
Choose the correct option:
a) Which of the following is a set of even numbers?
i) {1, 3, 5}
ii) {2, 4, 6}
iii) {1, 2, 3}
iv) {3, 5, 7}
b) What is the value of 3x + 5x - 2x?
i) 10x
ii) 6x
iii) 8x
iv) x
c) What is the perimeter of a square with side 5 cm?
i) 25 cm
ii) 10 cm
iii) 20 cm
iv) 15 cm
d) A cube has side 3 cm. What is its volume?
i) 6 cm³
ii) 9 cm³
iii) 27 cm³
iv) 18 cm³
e) In which quadrant does the point (-2, 3) lie?
i) I
ii) II
iii) III
iv) IV
f) Probability of getting a head when tossing a coin is:
i) 0
ii) 1
iii) 1/2
iv) 2
g) Which of the following is equal to 3/4?
i) 6/8
ii) 9/10
iii) 1/2
iv) 2/3
h) What is 40% of 50?
i) 10
ii) 15
iii) 20
iv) 25
SECTION B OBJECTIVE
1. Sets and Equivalent Sets:
a) List the elements of the set: A = even numbers less than 12.
b) Are the sets A = {1, 2, 3} and B = {3, 2, 1} equal or equivalent? Explain.
Yes the sets were the ones given above. The sets are equal and equivalent because they have
the same cardinality, meaning they contain the same number of distinct elements.
2. Algebraic Expressions and Factorization:
a) Simplify: 4(a + 3) - 2(a - 1) = 2a + 10
b) Factorize: 6x + 12 = 6(x + 2)
3. Area and Perimeter:
a) Find the area and perimeter of a rectangle with length 8 cm and width 5 cm. = P = 26cm , A =
40cm^2
b) A triangle has a base of 10 cm and height of 4 cm. Find its area. = 20cm^2
4. Volume and Surface Area:
a) A cuboid has dimensions 6 cm × 4 cm × 2 cm. Find its volume and surface area. V = 48cm3
SA = 88cm^2
b) A cylinder has radius 7 cm and height 5 cm. Find its volume (use pi = 22/7). = 770
5. Coordinate Geometry:
a) Plot and label the points A(1, 2), B(3, 4), and C(-2, -3) on a graph.
b) Find the distance between A(0, 0) and B(3, 4).
6. Probability:
a) A bag has 2 red, 3 green, and 5 blue balls. What is the probability of picking a red ball? 2\10
b) A die is rolled. Find the probability of getting an even number. 3\6
7. Fractions and Percentages:
a) Simplify: 42/56 = 22\28
b) Convert 5/8 into a percentage. = 62.5
c) A student scored 18 out of 25 marks. Find the percentage. = 72%
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