Explore topic-wise MCQs in Grade7.

This section includes 135 Mcqs, each offering curated multiple-choice questions to sharpen your Grade7 knowledge and support exam preparation. Choose a topic below to get started.

51.

The lengths of sides of triangle are x cm,(x + 1) cm and (x + 2) cm, the value of x when triangle is right angled is

A. 5cm
B. 4cm
C. 3cm
D. 6cm
Answer» D. 6cm
52.

Simplifying the expression (m²cx + mc)⁄(m²x² + 2mx + 1) gives us

A. mc⁄(mx + 1)
B. (mx + 1)⁄mc
C. mc + 1⁄m
D. none of above
Answer» B. (mx + 1)⁄mc
53.

Making a the subject of (a⁄b) - (a⁄c) = 1 we get

A. a = b⁄c
B. a = c⁄b
C. a = c + b + 1
D. a = bc⁄(c - b)
Answer» E.
54.

Simplification of (a² - 4b²)⁄((a²+2ab)⁄ab) yields

A. b(a - 2b)
B. a(b - 2a)
C. a + 2b
D. a - 2b
Answer» B. a(b - 2a)
55.

If we make a the subject of given formula (p + a)⁄5 = 3p we get

A. 12p⁄a
B. a + p⁄5
C. a = 14p
D. a = 15p
Answer» B. a + p⁄5
56.

Solving the following expression 3⁄(2 - a⁄6)

A. 18⁄(12 - a)
B. 12a⁄18
C. 6a⁄4
D. none of above
Answer» B. 12a⁄18
57.

VPQRS is rectangle based pyramid where PQ = 30cm, QR = 20cm and volume is 2000cm³, the height is

A. 20cm
B. 40cm
C. 10cm
D. 30cm
Answer» D. 30cm
58.

If a hemisphere has a curved surface area of 175cm² its radius is

A. 5.28cm
B. 3.45cm
C. 28.5cm
D. 45.3cm
Answer» B. 3.45cm
59.

A cone has a circular base of radius 6m and volume 84π m³. The height of cone is

A. 7m
B. 6m
C. 8m
D. 8m
Answer» B. 6m
60.

The volume of cone with surface area 7cm and height 14cm is

A. 120cm³
B. 160cm³
C. 180cm³
D. 200cm³
Answer» D. 200cm³
61.

Non-right pyramids are called

A. Oblique Pyramids
B. Tetrahedron based pyramids
C. Pentagon based pyramids
D. Hexagon based pyramids
Answer» B. Tetrahedron based pyramids
62.

The set of vowels in English alphabet contains elements

A. {a, b, c, d, e, f}
B. {a, e, i, o, u}
C. {p, q, r, s, t}
D. {l, m, n, o, p}
Answer» C. {p, q, r, s, t}
63.

A group or collection of objects is called

A. element
B. set
C. list
D. group
Answer» C. list
64.

A set with no elements is

A. a subset
B. a universal set
C. a null set
D. a superset
Answer» D. a superset
65.

Individual Objects in a set are called

A. element
B. set
C. list
D. None of above
Answer» B. set
66.

If A = {3, 6, 9, 12} and B = {6, 8, 9} then intersection of A and B is

A. {3, 6}
B. {3, 12}
C. {6, 9}
D. {9, 12}
Answer» D. {9, 12}
67.

Two polygons are similar then their corresponding angles are

A. Not equal
B. Equal
C. congruent
D. None of above
Answer» C. congruent
68.

Two hexagons of same shape and different sizes are

A. Congruent
B. Non-identical
C. Non-congruent
D. None of above
Answer» D. None of above
69.

The scale of map is 4cm : 1km, the simplest possible ratio is

A. 1cm : 250m
B. 2cm : 340m
C. 3cm : 560m
D. 4cm : 120m
Answer» B. 2cm : 340m
70.

Congruent objects are

A. Identical
B. Non-identical
C. Irregular
D. None of above
Answer» C. Irregular
71.

Objects having same shapes but not necessarily same sizes are

A. Similar
B. Non-identical
C. Non-similar
D. None of above
Answer» B. Non-identical
72.

If the volume of sphere is 850m³ then its radius and surface area are

A. 6m, 450m²
B. 5m, 560m²
C. 2m, 780m²
D. 5.88m, 434m²
Answer» E.
73.

The surface area of cone is

A.
B. πa²
C. πrl
D. none of above
Answer» D. none of above
74.

The volume of sphere is

A. (4/3)πr³
B. 3⁄4rl
C. 3.414ra
D. None of above
Answer» B. 3⁄4rl
75.

A cone with a circular base of radius 5cm and height 12cm has surface area of

A. 204cm²
B. 210cm²
C. 80cm²
D. none of above
Answer» B. 210cm²
76.

The surface area of sphere is

A. 2πr
B. 4πr²
C. 2πr²
D. 6πr²
Answer» C. 2πr²
77.

The mode of 12, 17, 16, 14, 13, 16, 11, 14 is

A. 13
B. 11
C. 14
D. 14 and 16
Answer» E.
78.

Number which occurs most frequently in a set of numbers is

A. mean
B. median
C. mode
D. None of above
Answer» D. None of above
79.

In a triangle with sides a,b and c, if a² = b² + c², then angle facing a is

A. acute angle
B. right angle
C. obtuse angle
D. none of above
Answer» C. obtuse angle
80.

The measure of chance is known as

A. Geometry
B. statistics
C. probability
D. none of above
Answer» D. none of above
81.

The median of 7, 6, 4, 8, 2, 5, 11 is

A. 6
B. 12
C. 11
D. 4
Answer» B. 12
82.

If 6 books costs $48, then the cost of 8 books will be

A. $65
B. $64
C. $66
D. $68
Answer» C. $66
83.

10 identical pipes fill water tank in 4h, 8 pipes fill the same tank in

A. 6h
B. 7h
C. 5h
D. 4h
Answer» D. 4h
84.

If 6kg biscuits costs $27 then the cost of 13kg of biscuits will be

A. 60$
B. 58.50$
C. 56$
D. 35$
Answer» C. 56$
85.

5 men paint 2 houses in 3 days, 10 men paint 8 houses in

A. 5 days
B. 6 days
C. 2 days
D. 7 days
Answer» C. 2 days
86.

X : y for 5x = 7y is

A. 7:05
B. 5:07
C. 6:01
D. 7:01
Answer» B. 5:07
87.

For y = 12 and x = 4, value of k is

A. 6
B. 5
C. 3
D. 8
Answer» D. 8
88.

Y is inversely proportional to x, y = 3 when x = 4, value of y when x = 6 is

A. 2
B. 6
C. 8
D. 10
Answer» B. 6
89.

Y = 5x³ the two variables are

A. directly related
B. inversely related
C. not related
D. None of above
Answer» B. inversely related
90.

If the mass of 108 books is 30kg then mass of 150 books is

A. 27.33
B. 23.4
C. 45.67
D. 26.8
Answer» B. 23.4
91.

For y = 21 and k = 3, value of x is

A. 5
B. 22
C. 23
D. 21
Answer» E.
92.

If we solve 3x + 2y = 7 and 9x + 8y = 22 we get

A. x = 2, y = 1⁄2
B. x = 5, y = 1⁄2
C. x = 3⁄2, y = 1
D. none of above
Answer» B. x = 5, y = 1⁄2
93.

Solve the equations 5p - 2q = 9, 3p + 2q = 7 for value of p and q

A. p = 1⁄2, q = 1⁄3
B. p = 2, q = 1⁄2
C. p = 0, q = 3
D. none of above
Answer» C. p = 0, q = 3
94.

The diagonal of square is 42.5cm. The perimeter and area of square is

A. 120 cm, 903cm²
B. 50cm, 45cm²
C. 45cm, 903cm²
D. 56cm, 60cm²
Answer» B. 50cm, 45cm²
95.

Given that √((x + y)⁄(x - y)) = z, the value of x when y = 4 and z = 3 is

A. 112⁄26
B. 26⁄112
C. 124/56
D. 150/35
Answer» B. 26⁄112
96.

Simplifying the given expression 7⁄(2x - 5) + 4⁄(x - 3) gives us

A. 23x - 31
B. (15x - 41)⁄(2x - 5)(x - 3)
C. (x - 3)(2x - 5)⁄23x
D. none of above
Answer» C. (x - 3)(2x - 5)⁄23x
97.

Simplification of the given expression 16a² b² ⁄48a³ b gives

A. b⁄3a
B. 3a⁄b
C. 24a
D. 6a⁄7b
Answer» B. 3a⁄b
98.

Given that A = (1⁄3)πr² h + (4⁄3)πr³ find A when r = 7, h = 15 and π= 3.142

A. 2207.8
B. 2100
C. 564.89
D. 2206.7
Answer» E.
99.

The single denominator expression for (1⁄4)c⁄(c + 1⁄3)

A. 3c⁄(4(3c + 1))
B. 4c + 1⁄3c
C. 3c⁄4
D. 4⁄3c
Answer» B. 4c + 1⁄3c
100.

Solving the equations (x + y)⁄3 = 3 and (3x + y)⁄5 = 1 gives

A. x = -2, y = 11
B. x = 11, y = -2
C. x = 13, y = 2
D. x = 19, y = 14
Answer» B. x = 11, y = -2