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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.
| 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. | 6² |
| B. | 8² |
| 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 | |