JAMB UPDATES 2023

JAMB 2021 POSSIBLE MATHEMATICS QUESTIONS

JAMB 2021 POSSIBLE MATHEMATICS QUESTIONS

1. Change 71base10 to base 8
A. 107 base 8 ✔️
B. 106 base 8
C. 71 base 8
D. 17 base 8

SOLUTION
8|71
8|8 REM 7
8|1 REM 0
8|0 REM 1
ANSWER = 107 base 8 (A)

2. If N225.00 yields N 27.00 in x years simple interest at the rate of 4% per annum , find X
A. 3✔️
B. 4
C. 12
D. 17

SOLUTION
Principal = N225.00
Interest = N 27.00
Year = X
Rate = 4%
S.I = PTR / 100
27 = 225 × 4 × X / 100
T (years) = 3yrs

3. Calculate the standard deviation of the following data :
7,8,9,10,11,12,13.
A. 2✔️
B. 4
C. 10
D. 11

SOLUTION
Firstly find X , hence X = ( £x / N )
Ex = 7+8+9+10+11+12+13 = 70
N = 7
.°. X = 70/7 = 10

x | x – x | (x – x )²
7| -3 | 9
8| -2 | 4
9| -1 | 1
10| 0 | 1
11| 1 | 1
12| 2 | 4
13| 3 | 9
S.D = ( √£(×-×)²/N ) Note square root applies for both numerator and denominator.
= ( √£d²/N ) = √28/7 = √ 4 = 2 (A)

4. If y = 3t³ + 2t² – 7t + 3 , find dy/dt at t = -1
A. -1
B. 1
C. -2 ✔️
D. 2

SOLUTION
dy/dt = 9t² + 4t – 7
When t = -1
dy/dt = 9(-1)² + 4(-1) – 7
= 9 – 4 – 7 = -2 (C)

5. A man wishes to keep some money in a savings deposit at 25% compound interest so that after 3 years he can buy a car of #150,000 . How much does he need to deposit now ?
A. #76800.00✔️
B. #85714.28
C. # 96000.00
D. # 112000.50

SOLUTION
A =#150,000
r = 25%
n = 3
Remember A = P ( 1 + r/100)^n
150,000 = P ( 1 + 0.25 ) ³
150,000 = P (1.25)³
P = 150,000 / 1.25³ = #76800.00(A)

6. A trader bought goats for #4000 each. He sold them for #180,000 at a loss of 25%. How many goats did he buy ?
A. 50
B. 60✔️
C. 36
D. 45

SOLUTION
Loss % = c.p – s.p / c.p × 100%

25 = c.p – 180,000 / c.p × 100
25 = 100 ( c.p – 180,000 ) / c.p
25 = 100cp – 18,000,000 / cp
Cross multiply
25cp = 100cp – 18,000,000
18,000,000 = 100cp – 25cp
18,000,000 = 75cp
C.P = #240,000

Number of goats = 240,000 / 4000 = 60 (B)

7. The range of the data K+2 , k-3 , k+4 , k-2, k-5 , k+3 , k-1 and k+6 is
A. 11✔️
B. 10
C. 8
D. 6

SOLUTION
RANGE = highest – lowest
( K + 6 ) – ( K – 5 )
K + 6 – k + 5 = 11 (A)

8. What is the area between two concentric circles of diameters 26cm and 20cm ?
A. 100π
B. 169π
C. 69π✔️
D. 9π
E. 269π

SOLUTION
Area between two concentric circles is πR² – πr²
π(13² – 10²) = 69π (C)

9. Find the sum to infinity of the following series 3 + 2 + 4/3 + 8/9 + 16/27 + ________
A. 1270
B. 190
C. 18
D. 9✔️

SOLUTION
3 + 2 + 4/3 + 8/9 + 16/27
a = 3 , r = 2/3 ,
S∞ = a / 1 – r
= 3/1-2/3 = 9(D)

10. The derivative of cosec x is
A. tan x cosec x
B. – cot x cosec x✔️
C. tan x sec x
D. – cot x sec x

11. If y = ( 1 + x )² , find dy/dx
A. -1
B. 2 + 2x✔️
C. 1 + 2x
D. 2x – 1

SOLUTION
If y = ( 1 + x )²
dy/dx = 2( 1 + x )
= 2 + 2x (B)

12. Which mathematics Question paper type is given to you ?
A. Type A
B. Type B
C. Type C
D. Type D ✔️

13. At what rate will the interest on #400 increase to #24 in 3years reckoning in simple interest?
A. 3%
B. 2%✔️
C. 5%
D. 4%

SOLUTION
S.I = PTR / 100 where
P denotes principal = #400
T denotes time = 3years
R denotes Rate = ?
24 = 400×3×R / 100
24×100 = 400×3×R
R = 2% (B)

14. If x*y = x + y² , find the value of ( 2*3 )*5
A. 25
B. 11
C. 55
D. 36✔️

SOLUTION
(2*3)*5 = (2+3²)*5
= (2+9)*5 = 11*5
Hence 11*5 = 11+5² = 11+25 = 36(D)

15. Simplify ( √6 + 2 )² ( √6 – 2 )²
A. 2√6
B. 4√6
C. 8√6✔️
D. 16√6

SOLUTION
( √6 + 2 )² (√6 – 2 )²
(√6 + 2 + √6 – 2 ) ( √6 + 2 -√6 + 2 )
(2√6 ) (4) = 8√6 (C)

MyScholarshipBaze

I love surfing the web and providing great information for my readers. I am an Editor At Myscholarshipbaze.com

Recent Posts

Anambra State University Cut off mark 2023

Anambra state university cut off mark 2023 We are glad to bring to your notice…

46 minutes ago

Federal Judicial Service Commission recruitment 2023

Federal Judicial Service Commission 2023 Federal Judicial Service Commission Recruitment 2023 has started and you…

5 hours ago

School of Basic Midwifery, Gwagwalada Admission

School of Basic Midwifery, Gwagwalada Admission For the 2022/2023 academic session, applications are requested from…

9 hours ago

School of Basic Midwifery, Igando Admission

School of Basic Midwifery, Igando Admission Applications are requested from adequately qualified applicants for admission…

14 hours ago

School of Basic Midwifery, Jalingo Admission

School of Basic Midwifery, Jalingo Admission For the 2022/2023 academic session, applications are requested from…

19 hours ago

School of Basic Midwifery, Kano Admission

School of Basic Midwifery, Kano Admission For the academic year 2022/2023, the Kano State Ministry…

23 hours ago