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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. | a² |
| 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 | |