Paper 1  Objectives  40 Questions
JAMB Exam
Year: 2020
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
Apply tips for stressfree eating before and during exams and what to avoid for good grades.
Did you apply the MTN Ghana Bright Scholarships 2022 for Ghana Undergraduate Students?
Effective ways of coping with exam stress and test anxiety which is supported by Science
#  Question  Ans 

1. 
Evaluate (212)\(_3\)  (121)\(_3\) + (222)\(_3\) A. (313)\(_3\) B. (1000)\(_3\) C. (1020)\(_3\) D. (1222)\(_3\)
Show Content
Detailed SolutionEvaluate (212)\(_3\)  (121)\(_3\) + (222)\(_3\)(212)\(_3\) + (222)\(_3\) = 1211\(_3\) → 1211\(_3\)  121\(_3\) = 1020\(_3\) There is an explanation video available below. 

2. 
Factorise (4a + 3) \(^2\)  (3a  2)\(^2\) A. (a + 1)(a + 5) B. (a  5)(7a  1) C. (a + 5)(7a + 1) D. a(7a + 1)
Show Content
Detailed Solution[(4a + 3) \(^2\)  (3a  2)\(^2\) = a\(^2\)  b\(^2\) = (a + b) (a  b)= [(4a + 3) + (3a  2)] [(4a + 3)  (3a  2)] = [4a + 3 + 3a  2] [4a + 3  3a + 2] = (7a + 1)(a + 5) (a + 5) (7a + 1) There is an explanation video available below. 

3. 
Find all median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119 A. 131 B. 125 C. 123 D. 120
Show Content
Detailed SolutionArrange in ascending order89, 100, 108, 119, 120,130, 131, 131, 141, 161 Median = \(\frac{120 + 130}{2}\) = 125 There is an explanation video available below. 

4. 
Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1)  1 > \(\frac{1}{5}\)(x + 4) A. x < 11 B. x < 1 C. x > 6 D. x > 11
Show Content
Detailed Solution\(\frac{1}{3}\) (x + 1)  1 > \(\frac{1}{5}\)(x + 4) = \(\frac{x + 1}{3}  1\) > \(\frac{x + 4}{5}\)\(\frac{x + 1}{3}  \frac{x + 4}{5} 1\) > 0 = \(\frac{5x + 5  3x  12}{15}\) 2x  7 > 15 2x > 22 = x > 11 There is an explanation video available below. 

5. 
Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\) A. 0 B. 0.9 C. 1.1 D. 1.2
Show Content
Detailed Solution\(\frac{0.021741 \times 1.2047}{0.023789}\) = \(\frac{0.0255 \times 1.2}{0.024}\) (to 216)= \(\frac{0.0264}{0.024}\) = 1.1 There is an explanation video available below. 

6. 
Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours? A. 180 B. 60 C. 25 D. 20
Show Content
Detailed SolutionLet x rep. numbers of boys that can work at \(\frac{5}{4}\) the rate atwhich the 10 girls work For 1 hrs, x boys will work for \(\frac{\frac{1}{5} \times 10}{4}\) x = \(\frac{5}{4}\) x 10 = 8 boys 8 boys will do the work of ten girls at the same rate 4 + 8 = 12 bous cut the field in 5 hrs for 3 hrs, \(\frac{12 \times 5}{3}\) boys will be needed = 20 boys. There is an explanation video available below. 

7. 
What is the circumference of latitude 0\(^o\)S if R is the radius of the earth? A. cos \(\theta\) B. 2\(\pi\)R cos \(\theta\) C. R sin \(\theta\) D. 2 \(\pi\) r sin \(\theta\)
Show Content
Detailed SolutionCircumstances of latitude 0\(^o\)s where R is the radius of the earth 2\(\pi\)r cos \(\theta\)There is an explanation video available below. 

8. 
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. \(\frac{8}{17}\) C. \(\frac{8}{15}\) D. \(\frac{12}{17}\)
Show Content
Detailed SolutionABCD is the floor. By pathagorasAC\(^2\) = 144 + 81 = \(\sqrt{225}\) AC = 15cm Height of room 8m, diagonal of floor is 15m Therefore, the cosine of the angle which a diagonal of the room makes with the floor is EC\(^2\) = 15\(^2\) + 8\(^2\) cosine \(\frac{adj}{Hyp} = \frac{15}{17}\) EC\(^2\) = \(\sqrt{225 + 64}\) EC = \(\sqrt{289}\) = 17 There is an explanation video available below. 
Preview displays only 8 out of the 40 Questions