Year :
2018
Title :
Mathematics (Core)
Exam :
JAMB Exam
Paper 1 | Objectives
21 - 30 of 62 Questions
| # | Question | Ans |
|---|---|---|
| 21. |
A boy walks 800m in 20 minutes. Calculate his average speed in Km/H A. 2.4 B. 4 C. 24 D. 6 |
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| 22. |
A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol? A. 420Km B. 405Km C. 210Km D. 200Km Detailed Solutionsince 1litre cost ₦63So ₦900 is the cost of \(\frac{900}{63}\) litres = 14.2857litres of petrol nbsp; The car uses 1 litre for 14km So 14.2857 litres will be used for (14.2857 x 14) = 200km Answer is D There is an explanation video available below. |
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| 23. |
 In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF A. 126° B. 72° C. 54° D. 28° |
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| 24. |
How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m? A. 3 B. 4 C. 5 D. 6 Detailed SolutionIn terms of distance, a circle has a total distance or perimeter of 2πr or πdWhere r is radius and d is the diameter So perimeter = \(\frac{22}{7}\) x 100 = 314.2857m To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18 \(\approxeq\) 3 (to the nearest whole number) There is an explanation video available below. |
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| 25. |
\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\) A. 8.8 x 10\(^{-1}\) B. 8.8 x 10\(^{-2}\) C. 8.2 x 10\(^{-3}\) D. 8.8 x 10\(^{3}\) |
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| 26. |
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store A. N1,080.00 B. N2,400.00 C. N3,000.00 D. N3,600.00 |
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| 27. |
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room. A. \(\frac{15}{17}\) B. \(\frac{9}{17}\) C. \(\frac{8}{15}\) D. \(\frac{12}{17}\) Detailed SolutionGiven length of the room = 12m; breadth = 9m and height = 8m.The room is a cuboid in shape, therefore the length of the diagonal = \(\sqrt{l^2 + b^2 + h^2}\) = \(\sqrt{12^2 + 9^2 + 8^2}\) =\(\sqrt{289}\) = 17m. The diagonal makes an angle with the diagonal of the floor: \(\sqrt{12^2 + 9^2}\) = \(\sqrt{225}\) = 15m The cosine of the angle that the diagonal makes with the floor (\(\theta\)) = \(\frac{15}{17}\). There is an explanation video available below. |
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| 28. |
Divide the L.C.M of 48, 64 and 80 by their H.C.F A. 20 B. 30 C. 48 D. 60 |
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| 29. |
Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 A. 5x + 7y = 20 B. 7x + 5y = 70 C. xy = 7 D. 15x + 17y = 90 |
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| 30. |
A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year. A. N828.00 B. N756.00 C. N720.00 D. N684.00 Detailed SolutionSince the salary increases by #36 after every 6 months: 2 years and 8 months imply an increase of five times only: 36 * 5 → #180 His salary then = initial salary + increment = 540 + 180 = #720 Answer is C There is an explanation video available below. |
| 21. |
A boy walks 800m in 20 minutes. Calculate his average speed in Km/H A. 2.4 B. 4 C. 24 D. 6 |
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| 22. |
A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol? A. 420Km B. 405Km C. 210Km D. 200Km Detailed Solutionsince 1litre cost ₦63So ₦900 is the cost of \(\frac{900}{63}\) litres = 14.2857litres of petrol nbsp; The car uses 1 litre for 14km So 14.2857 litres will be used for (14.2857 x 14) = 200km Answer is D There is an explanation video available below. |
|
| 23. |
In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF A. 126° B. 72° C. 54° D. 28° |
|
| 24. |
How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m? A. 3 B. 4 C. 5 D. 6 Detailed SolutionIn terms of distance, a circle has a total distance or perimeter of 2πr or πdWhere r is radius and d is the diameter So perimeter = \(\frac{22}{7}\) x 100 = 314.2857m To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18 \(\approxeq\) 3 (to the nearest whole number) There is an explanation video available below. |
|
| 25. |
\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\) A. 8.8 x 10\(^{-1}\) B. 8.8 x 10\(^{-2}\) C. 8.2 x 10\(^{-3}\) D. 8.8 x 10\(^{3}\) |
| 26. |
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store A. N1,080.00 B. N2,400.00 C. N3,000.00 D. N3,600.00 |
|
| 27. |
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room. A. \(\frac{15}{17}\) B. \(\frac{9}{17}\) C. \(\frac{8}{15}\) D. \(\frac{12}{17}\) Detailed SolutionGiven length of the room = 12m; breadth = 9m and height = 8m.The room is a cuboid in shape, therefore the length of the diagonal = \(\sqrt{l^2 + b^2 + h^2}\) = \(\sqrt{12^2 + 9^2 + 8^2}\) =\(\sqrt{289}\) = 17m. The diagonal makes an angle with the diagonal of the floor: \(\sqrt{12^2 + 9^2}\) = \(\sqrt{225}\) = 15m The cosine of the angle that the diagonal makes with the floor (\(\theta\)) = \(\frac{15}{17}\). There is an explanation video available below. |
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| 28. |
Divide the L.C.M of 48, 64 and 80 by their H.C.F A. 20 B. 30 C. 48 D. 60 |
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| 29. |
Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 A. 5x + 7y = 20 B. 7x + 5y = 70 C. xy = 7 D. 15x + 17y = 90 |
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| 30. |
A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year. A. N828.00 B. N756.00 C. N720.00 D. N684.00 Detailed SolutionSince the salary increases by #36 after every 6 months: 2 years and 8 months imply an increase of five times only: 36 * 5 → #180 His salary then = initial salary + increment = 540 + 180 = #720 Answer is C There is an explanation video available below. |