Year :
2017
Title :
Mathematics (Core)
Exam :
JAMB Exam
Paper 1 | Objectives
21 - 30 of 45 Questions
| # | Question | Ans |
|---|---|---|
| 21. |
A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was? A. three times as much B. the same C. twice as much D. half as much |
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| 22. |
 In the figure, find x A. 40o B. 55o C. 50o D. 60o |
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| 23. |
Divide 4x3 - 3x + 1 by 2x - 1 A. 2x2 -x + 1 B. 2x2 - x -1 C. 2x2 + x + 1 D. 2x2 + x -1 Detailed Solutionby method of long division, we get the answer.There is an explanation video available below. |
|
| 24. |
A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain? A. 60% B. 32% C. 25% D. 20% Detailed SolutionTotal Cost Price = N(250,000 + 70,000)= N 320,000 Selling Price = N 400,000(Given) Gain = Selling Price - Cost Price = 400,000 - 320,000 = 80,000 % gain = \(\frac{\text{Gain}}{\text{Cost Price}}\) × 100 = \(\frac{80,000}{320,000}\) × 100 Gain % = 25% There is an explanation video available below. |
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| 25. |
Find the number of ways that the letters of the word EXCELLENCE be arranged A. \(\frac{10!}{2!2!2!}\) B. \(\frac{10!}{4!2!}\) C. \(\frac{10!}{4!2!2!}\) D. \(\frac{10!}{2!2!}\) Detailed SolutionEXCELLENCEIt is a ten letter word = 10! Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls ∴ there are \(\frac{10!}{4!2!2!}\) ways to arrange There is an explanation video available below. |
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| 26. |
Evaluate \(\frac{0.00000231}{0.007}\) and leave the answer in standard form A. 3.3 x 10-4 B. 3.3 x 10-3 C. 3.3 x 10-5 D. 3.3 x 10-8 Detailed Solution\(\frac{0.00000231}{0.007}\) to standard form= \(\frac{231 \times 10^{-8}}{7 \times 10^{-3}}\) = 33 × 10\(^{-8 − (−3)}\) = 33 × 10\(^{− 8 + 3}\) = 33 × 10-5 = 3.3 x 10^-4 There is an explanation video available below. |
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| 27. |
If a rod 10cm in length was measured as 10.5cm, calculate the percentage error A. 5% B. 10% C. 8% D. 7% |
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| 28. |
Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum A. ₦ 4,900 B. ₦ 5,000 C. ₦ 4,700 D. ₦ 4,000 |
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| 29. |
 The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer A. ₦ 35, 000 B. ₦ 40,000 C. ₦ 25,000 D. ₦ 20,000 Detailed Solution
∴ To get the angle occupied by fertilizer we have, 40 + 50 + 80 + 70 + 30 + fertilizer(x) = 360 270 + x = 360 x = 360 - 270 x = 90 Total amount allocated to the farm = ₦ 80,000 ∴Amount allocated to the fertilizer = \(\frac{\text{fertilizer (angle) × Total amount}}{\text{total angle}}\) = \(\frac{90}{360}\) × 80,000 = ₦20,000 There is an explanation video available |
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| 30. |
In how many ways can the word MATHEMATICS be arranged? A. \(\frac{11!}{9!2!}\) B. \(\frac{11!}{9!2!2!}\) C. \(\frac{11!}{2!2!2!}\) D. \(\frac{11!}{2!2!}\) |
| 21. |
A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was? A. three times as much B. the same C. twice as much D. half as much |
|
| 22. |
In the figure, find x A. 40o B. 55o C. 50o D. 60o |
|
| 23. |
Divide 4x3 - 3x + 1 by 2x - 1 A. 2x2 -x + 1 B. 2x2 - x -1 C. 2x2 + x + 1 D. 2x2 + x -1 Detailed Solutionby method of long division, we get the answer.There is an explanation video available below. |
|
| 24. |
A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain? A. 60% B. 32% C. 25% D. 20% Detailed SolutionTotal Cost Price = N(250,000 + 70,000)= N 320,000 Selling Price = N 400,000(Given) Gain = Selling Price - Cost Price = 400,000 - 320,000 = 80,000 % gain = \(\frac{\text{Gain}}{\text{Cost Price}}\) × 100 = \(\frac{80,000}{320,000}\) × 100 Gain % = 25% There is an explanation video available below. |
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| 25. |
Find the number of ways that the letters of the word EXCELLENCE be arranged A. \(\frac{10!}{2!2!2!}\) B. \(\frac{10!}{4!2!}\) C. \(\frac{10!}{4!2!2!}\) D. \(\frac{10!}{2!2!}\) Detailed SolutionEXCELLENCEIt is a ten letter word = 10! Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls ∴ there are \(\frac{10!}{4!2!2!}\) ways to arrange There is an explanation video available below. |
| 26. |
Evaluate \(\frac{0.00000231}{0.007}\) and leave the answer in standard form A. 3.3 x 10-4 B. 3.3 x 10-3 C. 3.3 x 10-5 D. 3.3 x 10-8 Detailed Solution\(\frac{0.00000231}{0.007}\) to standard form= \(\frac{231 \times 10^{-8}}{7 \times 10^{-3}}\) = 33 × 10\(^{-8 − (−3)}\) = 33 × 10\(^{− 8 + 3}\) = 33 × 10-5 = 3.3 x 10^-4 There is an explanation video available below. |
|
| 27. |
If a rod 10cm in length was measured as 10.5cm, calculate the percentage error A. 5% B. 10% C. 8% D. 7% |
|
| 28. |
Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum A. ₦ 4,900 B. ₦ 5,000 C. ₦ 4,700 D. ₦ 4,000 |
|
| 29. |
The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer A. ₦ 35, 000 B. ₦ 40,000 C. ₦ 25,000 D. ₦ 20,000 Detailed Solution
∴ To get the angle occupied by fertilizer we have, 40 + 50 + 80 + 70 + 30 + fertilizer(x) = 360 270 + x = 360 x = 360 - 270 x = 90 Total amount allocated to the farm = ₦ 80,000 ∴Amount allocated to the fertilizer = \(\frac{\text{fertilizer (angle) × Total amount}}{\text{total angle}}\) = \(\frac{90}{360}\) × 80,000 = ₦20,000 There is an explanation video available |
|
| 30. |
In how many ways can the word MATHEMATICS be arranged? A. \(\frac{11!}{9!2!}\) B. \(\frac{11!}{9!2!2!}\) C. \(\frac{11!}{2!2!2!}\) D. \(\frac{11!}{2!2!}\) |