MCQOPTIONS
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MCQOPTIONS
This section includes 330 Mcqs, each offering curated multiple-choice questions to sharpen your Grade8 knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The straight line equation y = 5x - 2 has gradient of |
| A. | x + y |
| B. | xy |
| C. | 2 |
| D. | 5 |
| Answer» E. | |
| 2. |
If the points of the straight line are M(7, 1) and N(7, 2) then the line MN is |
| A. | horizontal line with equation with x = 1 |
| B. | vertical line with equation with x = 2 |
| C. | vertical line with equation with x = 7 |
| D. | vertical line with equation with x = 7 |
| Answer» D. vertical line with equation with x = 7 | |
| 3. |
If coordinates of A and B are (2, 2) and (9, 11) respectively then the length of line segment AB is |
| A. | 11.4 |
| B. | 13.4 |
| C. | 15.4 |
| D. | 17.4 |
| Answer» B. 13.4 | |
| 4. |
According to Pythagoras theorem, the distance between points (-3, 8) and (8, -5) is |
| A. | 19.03 units |
| B. | 11.03 units |
| C. | 15.03 units |
| D. | 17.03 units |
| Answer» E. | |
| 5. |
If a line passes through point A(0, c) and has gradient 'm' then the equation will be |
| A. | y = mx + c |
| B. | c = xy + m |
| C. | m = xy + c |
| D. | cx = y + m |
| Answer» B. c = xy + m | |
| 6. |
If (94 )2 = 3x then the value of 'x' is |
| A. | 14 |
| B. | 16 |
| C. | 15 |
| D. | 17 |
| Answer» C. 15 | |
| 7. |
If 36 ⁄27 = 3x then the value of 'x' is |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 2 |
| Answer» B. 4 | |
| 8. |
The answer of 9.5 x 105 ⁄104 in ordinary notation is |
| A. | 0.95 |
| B. | 0.095 |
| C. | 95 |
| D. | 0.0095 |
| Answer» D. 0.0095 | |
| 9. |
The product of y7 and y³ is equal to |
| A. | y10 |
| B. | y21 |
| C. | y4 |
| D. | y² |
| Answer» B. y21 | |
| 10. |
The product of a²b4 and a³b5 is |
| A. | a10 b20 |
| B. | a5 b9 |
| C. | a4 b6 |
| D. | a6 b7 |
| Answer» C. a4 b6 | |
| 11. |
Mary scored 200 marks in three tests. If average score of 60 is required then the lowest marks she must score for fourth test are |
| A. | x gt; 40 |
| B. | x gt; 50 |
| C. | x gt; 60 |
| D. | x gt; 70 |
| Answer» B. x gt; 50 | |
| 12. |
By solving the inequality 1⁄3(x - 3) > 1⁄2(x + 2), the answer will be |
| A. | x < -10 |
| B. | x < -12 |
| C. | x < -14 |
| D. | x < -15 |
| Answer» C. x < -14 | |
| 13. |
By solving the inequality 3(a - 6) < 4 + a, the answer will be |
| A. | a < 9 |
| B. | a < 12 |
| C. | a < 13 |
| D. | a < 11 |
| Answer» E. | |
| 14. |
By solving the inequality 6x - 7 > 5, the answer will be |
| A. | x > 6 |
| B. | x < 5 |
| C. | x < 7 |
| D. | x > 2 |
| Answer» E. | |
| 15. |
If -5 > a and a > b then -5 is |
| A. | less than a |
| B. | greater than b |
| C. | grater than a |
| D. | less than b |
| Answer» C. grater than a | |
| 16. |
The compound interest on $2500 for 5 years at 4% per annum (compounded annually) is |
| A. | $432 |
| B. | $542 |
| C. | $642 |
| D. | $452 |
| Answer» C. $642 | |
| 17. |
If an article costs $350 with 6% GST then the price customer has to pay is |
| A. | $362 |
| B. | $351 |
| C. | $371 |
| D. | $341 |
| Answer» D. $341 | |
| 18. |
The television is priced at $10,000. A deposit of 16% on simple interest of 11% per year over 2 year and repayments paid monthly then the monthly installment is |
| A. | $457 |
| B. | $447 |
| C. | $437 |
| D. | $427 |
| Answer» E. | |
| 19. |
In a city book store, 70% of books are classified as non-fiction and remainder as fiction. There are total 2400 more non-fiction books than fiction books. The owner wants to increase non-fiction books by 5% at an average cost of $22. The cost of new non-fiction books is |
| A. | $4,620 |
| B. | $4,500 |
| C. | $4,350 |
| D. | $5,250 |
| Answer» B. $4,500 | |
| 20. |
A refrigerator is priced at $10,000. A deposit of 16% on simple interest of 11% per year over 2 year and repayments paid monthly then the amount of deposit made is |
| A. | $2,000 |
| B. | $2,150 |
| C. | $1,950 |
| D. | $1,600 |
| Answer» E. | |
| 21. |
Considering radian, the value of tan 1.1 is |
| A. | 1.964 |
| B. | 0.857 |
| C. | 0.382 |
| D. | 0.457 |
| Answer» B. 0.857 | |
| 22. |
In the formula 2πr, the 'r' is considered as |
| A. | circumference |
| B. | area |
| C. | perimeter |
| D. | radius |
| Answer» E. | |
| 23. |
The quarter of the circle is |
| A. | minor segment |
| B. | chord |
| C. | quadrant |
| D. | semicircle |
| Answer» D. semicircle | |
| 24. |
The formula used to measure circumference of circle is |
| A. | 2πr |
| B. | πr² + 2r |
| C. | πr² |
| D. | πr² |
| Answer» B. πr² + 2r | |
| 25. |
If the arc of circle of radius 30 cm has a length of 19 cm then the angle subtended at center of circle is |
| A. | 51.28 |
| B. | 16.28 |
| C. | 46.28 |
| D. | 36.28 |
| Answer» E. | |
| 26. |
The measurements such as length of book and width of glass sheet by using measuring tape are called |
| A. | indirect measurementsdirect measurements |
| B. | indirect measurementsdirect measurements |
| C. | indirect measurements |
| D. | direct measurements |
| Answer» E. | |
| 27. |
If sin A is 0.865 then the value of angle A (four significant figures) is |
| A. | 85.59° |
| B. | 59.88° |
| C. | 62.88° |
| D. | 88.62° |
| Answer» C. 62.88° | |
| 28. |
The answer of sin 95.29° is |
| A. | 0.7955 |
| B. | 0.9957 |
| C. | 0.5957 |
| D. | 0.5997 |
| Answer» C. 0.5957 | |
| 29. |
Considering a right-angled triangle ABC, if opposite side is 'x' and adjacent side of triangle is equal to 20 then A 53° is |
| A. | 23.46 |
| B. | 24.46 |
| C. | 26.54 |
| D. | 28.64 |
| Answer» D. 28.64 | |
| 30. |
A ladder leans against the wall at the point B (window end) from a ground level and makes an angle horizontally at 52°. The height of ladder is 15 m. When the same ladder leans above the point B at point A (window start) and makes an angle of 85° horizontally. The distance between point A and point B is |
| A. | 12.4 m |
| B. | 5 m |
| C. | 4.12 m |
| D. | 3.12 m |
| Answer» E. | |
| 31. |
The sine rule for a triangle states that |
| A. | a/sin A = b/sin B = c/sin C |
| B. | sin A/a = sin B/b = sin C/c |
| C. | a/sin A + b/sin B + c/sin C |
| D. | 2a/sin A = 2b/sin B = 2c/sin C |
| Answer» C. a/sin A + b/sin B + c/sin C | |
| 32. |
Considering The Cosine Rule of any triangle ABC, the possible measures of angle A includes |
| A. | angle A is obtuse |
| B. | angle A is acute |
| C. | angle A is right-angle |
| D. | all of above |
| Answer» E. | |
| 33. |
In a triangle ABC, if angle A = 72°, angle B = 48° and c = 9 cm then the &Ccirc; is |
| A. | 69° |
| B. | 66° |
| C. | 60° |
| D. | 63° |
| Answer» D. 63° | |
| 34. |
For the Cosine Rule of any triangle ABC, the c² is equal to |
| A. | c² + a² + 2ac cos C |
| B. | a² + b² - 2ab cos C |
| C. | a² + b² + 2ab cos A |
| D. | a² - b² + 2ab sin A |
| Answer» C. a² + b² + 2ab cos A | |
| 35. |
For the Cosine Rule of any triangle ABC, the b² is equal to |
| A. | a² - c² + 2ab cos A |
| B. | a³ + c³ - 3ab cos A |
| C. | a² + c² - 2ac cos B |
| D. | a² - c² 4bc cos A |
| Answer» D. a² - c² 4bc cos A | |
| 36. |
In a right-angled triangle XYZ with respect to X, the tangent of the angle A is calculated as |
| A. | adjacent side/hypotenuse |
| B. | opposite side/hypotenuse |
| C. | opposite side/adjacent side |
| D. | hypotenuse + adjacent side |
| Answer» D. hypotenuse + adjacent side | |
| 37. |
If cos X is 0.438 then the value of angle X in a right angle triangle is |
| A. | 64.02° |
| B. | 66.02° |
| C. | 46.02° |
| D. | 84.02° |
| Answer» B. 66.02° | |
| 38. |
From the top of mountain 68 m high, the angle of depression of two boats due east of it are 52° and 26° respectively. The distance between the ships is |
| A. | 58.28 m |
| B. | 86.29 m |
| C. | 68.29 m |
| D. | 53.72 m |
| Answer» C. 68.29 m | |
| 39. |
The answer of 4 tan 65°/3 sin 19° is |
| A. | 0.9309 |
| B. | 0.3099 |
| C. | 0.1309 |
| D. | 0.3019 |
| Answer» B. 0.3099 | |
| 40. |
With respect to A in a right-angled triangle ABC, the side AB is called |
| A. | adjacent side |
| B. | opposite side |
| C. | hypotenuse |
| D. | adjacent side + opposite side |
| Answer» B. opposite side | |
| 41. |
By converting 3π⁄2 from radians to degrees, the answer will be |
| A. | 190° |
| B. | 150° |
| C. | 270° |
| D. | 290° |
| Answer» D. 290° | |
| 42. |
The formula used to measure area of circle is |
| A. | 4πr² |
| B. | πr² |
| C. | 2πr² |
| D. | πr² + 2r |
| Answer» C. 2πr² | |
| 43. |
Considering radian, the value of cos 2.3π is |
| A. | 1.832 |
| B. | 0.587 |
| C. | 2.587 |
| D. | 1.684 |
| Answer» C. 2.587 | |
| 44. |
If the radius is 21 cm and the angle at center of circle is 140° then the length of the arc is |
| A. | 42.23 cm |
| B. | 73.24 cm |
| C. | 51.31 cm |
| D. | 62.42 cm |
| Answer» D. 62.42 cm | |
| 45. |
If the angle of sector is z° then the formula used to calculate is |
| A. | z°⁄360° x area of major arc |
| B. | z°⁄360° x area of semicircle |
| C. | z°⁄360° x area of circle |
| D. | z°⁄360° x circumference |
| Answer» E. | |
| 46. |
If cos 55° and sin 55° = 0.8 each then the answer of cos 125° + 5 sin 55° is |
| A. | 2.4 |
| B. | 2.8 |
| C. | 3.2 |
| D. | 0.8 |
| Answer» B. 2.8 | |
| 47. |
Considering the Cosine rule, the cos C is equal to |
| A. | a² - b² - c²⁄2bc |
| B. | 2a² + 2b² + 2c²⁄2abc |
| C. | a² + b² - c²⁄2ab |
| D. | 2a + 2b - 2c⁄2ac |
| Answer» D. 2a + 2b - 2c⁄2ac | |
| 48. |
In Δ ABC, angle A = 110° and AC = 2AB. If the area of Δ ABC is 15.5 cm² then the length of AB is |
| A. | 3.06 cm |
| B. | 6.05 cm |
| C. | 4.06 cm |
| D. | 5.06 cm |
| Answer» D. 5.06 cm | |
| 49. |
The formula for the area of a triangle ABC is |
| A. | 1/2ab sin C + 1/2bc sin A + 1/2ac sin B |
| B. | 1/2ab sin C = 1/2bc sin A = 1/2ac sin B |
| C. | 3/2ab sin C = 3/2bc sin A = 3/2ac sin B |
| D. | 2ab sin C = 2bc sin A = 2ac sin B |
| Answer» C. 3/2ab sin C = 3/2bc sin A = 3/2ac sin B | |
| 50. |
Considering 0° < x < 180°, the angle of sin x = 0.2385 is |
| A. | 21°, 170.32° |
| B. | 18.02°, 165.02° |
| C. | 14°, 150° |
| D. | 13.80°, 166.20° |
| Answer» E. | |