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.

1.

The perimeter of rectangle is 20cm and area is 24cm² the length and breadth are

A. 6cm and 4cm
B. 8cm and 6cm
C. 12cm and 10cm
D. 7cm and 5cm
Answer» B. 8cm and 6cm
2.

Expansion of -8(3a + 5b) yields

A. -24a - 40b
B. -22a + 80b
C. 20a - 30b
D. -24a - 41b
Answer» B. -22a + 80b
3.

(a + b)² gives

A. a² - b²
B. a² + 2ab + b²
C. a + 2b
D. a - 2b
Answer» C. a + 2b
4.

Factorization of 103²-9 yields

A. 10300
B. 10600
C. 11250
D. 12500
Answer» C. 11250
5.

Expansion and simplification of 8(3h - 4) + 5(h - 2) gives

A. 24h - 37
B. 36 - 4h
C. 29h - 42
D. 38 + 42h
Answer» D. 38 + 42h
6.

If the mean of 6 numbers is 41 then the sum of these numbers is

A. 250
B. 246
C. 134
D. 456
Answer» C. 134
7.

Two numbers whose sum is 67 and difference is 3, the numbers are

A. 33 and 34
B. 32 and 35
C. 34 and 56
D. 6 and 15
Answer» C. 34 and 56
8.

A triangle has base (x + 2)cm and height (7 - x) cm, the equation for area is

A. 5x + 34
B. 23x² + 2x + 5
C. 45x² + 34x + 4
D. 7 + 5x⁄x - x²⁄2
Answer» E.
9.

For the equation x = a the graph will be

A. Parallel to x-axis
B. Parallel to y-axis
C. Remain at origin
D. None of above
Answer» C. Remain at origin
10.

The probability of getting a multiple of 5 if a two digit number is written down at random is

A. 1⁄5
B. 2⁄5
C. 3⁄5
D. 4⁄5
Answer» B. 2⁄5
11.

Expansion of 2x(x + 2y) + 3x(2x - 3y) yields

A. 8x² - 5xy
B. 8x - 5y
C. 3y - 2y
D. none of above
Answer» B. 8x - 5y
12.

If x=3 is solution of x² + kx + 15, the value of k is

A. k = -8,x = 5
B. k = 8, x = 3
C. k = 6, x = 5
D. None of above
Answer» B. k = 8, x = 3
13.

Factorize x² + 8x + 12

A. (x + 2)(x + 6)
B. (x + 3)(x + 4)
C. 3x + 12
D. 3x - 12
Answer» B. (x + 3)(x + 4)
14.

9a² - 4 gives

A. (3a + 2)(3a - 2)
B. 9a + 12
C. (4a + 13)(4a - 13)
D. 54a - 32
Answer» B. 9a + 12
15.

Expansion of (x + 3y)(x - y) gives

A. x² + 2xy - 3y²
B. x + 3y - 2xy
C. -2y + 3x
D. 3y - 42x
Answer» B. x + 3y - 2xy
16.

Each side of square field ABCD is 50m long, the length of diagonal field is

A. 70.7m
B. 50.5m
C. 23m
D. 45m
Answer» B. 50.5m
17.

If the mean of 6 numbers is 17 then the sum of numbers is

A. 102
B. 103
C. 150
D. 120
Answer» B. 103
18.

Solving the equations 3x - 2y = 13, 2x + 2y = 0 using graphical method gives us

A. x = 5, y = 0
B. x = 4, y = 14
C. x = 2.6, y = -2.6
D. None of above
Answer» D. None of above
19.

The probability of getting a red ace if a card is drawn at random from pack of 52 cards is

A. 1⁄52
B. 1⁄26
C. 1⁄13
D. 1
Answer» C. 1⁄13
20.

The probability of getting an even number if a card is drawn from a box containing 12 identical cards numbered 1, 2, 3, ......,12 is

A. 1⁄2
B. 1⁄5
C. 2⁄5
D. None of above
Answer» B. 1⁄5
21.

If 30 : 50 = 6 : x then value of x is

A. 20
B. 30
C. 10
D. 50
Answer» D. 50
22.

P is inversely proportional to Q, P = 9 when Q = 2, value of P when Q = 3 is

A. 7
B. 8
C. 2
D. 6
Answer» E.
23.

If x and y are directly related, the graph between them is

A. Straight line
B. curved line
C. tangent line
D. None of above
Answer» B. curved line
24.

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

A. 12
B. 8
C. 9
D. 11
Answer» D. 11
25.

Q = 7p², q and p are

A. directly related
B. inversely related
C. no related
D. None of above
Answer» B. inversely related
26.

Q is directly proportional to √p Q = 21 when p = 9, the value of Q when p = 81 is

A. 63
B. 64
C. 56
D. 67
Answer» B. 64
27.

7 identical pipes fill 3 identical tanks 45mins, 5 pipes fill one of these tanks in

A. 20min
B. 21min
C. 15min
D. 10min
Answer» C. 15min
28.

If y = x, then both are

A. inversely related to each other
B. directly related to each other
C. not related
D. none of above
Answer» B. directly related to each other
29.

Y = 3/x² y and x are

A. directly related
B. inversely related
C. not related
D. non of above
Answer» C. not related
30.

Y is directly proportional to x², x = 2 and y = 20, value of x when y = 1.25 is

A. 0.3
B. 0.6
C. 0.5
D. 0.8
Answer» D. 0.8
31.

Factorization of x + xy + 2y + 2y² gives

A. x² + 2xy
B. x + y
C. (1 + y)(x + 2y)
D. None of above
Answer» D. None of above
32.

Factorization of 4x - 20 yields

A. 2x - 4
B. 4(x - 5)
C. 5(x - 4)
D. 20x
Answer» C. 5(x - 4)
33.

Factorize -4h² + 81

A. (9 + 3h)(9 - 3h)
B. 16h - 45
C. (9 + 2h)(9 - 2h)
D. None of above
Answer» D. None of above
34.

Show that 6,8 and 10 form a Pythagorean triple

A.
B.
C. 12²
D. 10²
Answer» E.
35.

Solve for value of x and y if 5x - y = 5 and 3x + 2y = 29

A. x = 12, y = 3
B. x = 1, y = 4
C. x = -3, y = 24
D. x = 3, y = 10
Answer» E.
36.

Solving the equations 1⁄3(x + y) = 1⁄5(x - y), 3x + 11y = 4 gives

A. x = 1, y = 4
B. x = 5, y = 6
C. x = 16, y = -4
D. x = -4, y = 16
Answer» D. x = -4, y = 16
37.

The sum of two numbers is 48 and smaller one is equal to one fifth of larger number, the numbers are

A. 40 and 8
B. 35 and 70
C. 3 and 9
D. 15 and 30
Answer» B. 35 and 70
38.

A bag contains 15 balls of which x are red, the probability of getting a red ball at random from the bag is

A. x⁄14
B. x⁄16
C. x⁄15
D. 15⁄x
Answer» D. 15⁄x
39.

An enlargement results in a smaller image, it is called

A. Enlargement
B. Compression
C. equality
D. None of above
Answer» B. Compression
40.

Two quadrilaterals of same area but different shapes are

A. Non-congruent
B. Congruent
C. Identical
D. Non-identical
Answer» B. Congruent
41.

The scale of building plan is 1cm to 50cm. Represented length of bedroom is 9.2cm, actual length is

A. 480cm
B. 620cm
C. 430cm
D. 460cm
Answer» E.
42.

If all the sides of any two figures are proportional then they are

A. Congruent
B. Non-congruent
C. Similar
D. Non-similar
Answer» D. Non-similar
43.

Two objects of same shape are said to be

A. Identical
B. Congruent
C. Isosceles
D. Equatorial
Answer» C. Isosceles
44.

The number of elements in set of "odd numbers between 10 and 26" are

A. 8
B. 3
C. 7
D. 6
Answer» B. 3
45.

If E = {30, 31, 32,......,45} and D = {multiples of 4} then complement of D is

A. {30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45}
B. {31, 32, 35, 37}
C. {14, 42, 43, 44, 45}
D. {23, 24, 25, 26, 27}
Answer» B. {31, 32, 35, 37}
46.

The elements in set {Vowels in the word "MATHEMATICS"} are

A. {A, E, I}
B. {A, O, U}
C. {E, I, U}
D. None of above
Answer» B. {A, O, U}
47.

A triangle whose sides are 15cm, 36cm, and 39cm is

A. Right angled
B. Equilateral
C. isosceles
D. none of above
Answer» B. Equilateral
48.

One third of sum of two angles is 60° and one fourth of their difference is 28°. The angles are

A. 30° and 44°
B. 34° and 90°
C. 146° and 34°
D. 130° and 60°
Answer» D. 130° and 60°
49.

The Graphs of y = ax² passes through

A. Origin
B. x-axis
C. y-axis
D. None of above
Answer» B. x-axis
50.

Solve the simultaneous equations 13x - 6y = 20, 7x + 4y = 18

A. x = 2, y = 1
B. x = 4, y = 8
C. x = 6, y = 1
D. x = 2, y = 4
Answer» B. x = 4, y = 8