JAMB Mathematics Past Questions 2020

10 questions from the JAMB 2020 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2020Question 1 · Algebraic Processes

Factorise

(4 a + 3)^{2} - (3 a - 2)^{2}

A.(a + 1)(a + 5)
B.(a - 5)(7a - 1)
C.(a + 5)(7a + 1)
D.a(7a + 1)

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Answer: C. (a + 5)(7a + 1)

Difference of squares: (7a+1)(a+5).

JAMB 2020Question 2 · Commercial Arithmetic

If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.

A.3
B.4
C.12
D.17

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Answer: A. 3

27=225×4×x/100=9x, so x=3.

JAMB 2020Question 3 · Coordinate Geometry and Trigonometry

Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.

A.5x + 7y = 120
B.7x + 5y = 70
C.x + y = 7
D.15x + 17y = 90

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Answer: B. 7x + 5y = 70

Parallel line through (5,7): 7x+5y=70.

JAMB 2020Question 4 · Geometry and Mensuration

What is the circumference of latitude

0^{o} S

if R is the radius of the earth?

A.cos theta
B.2piR cos theta
C.R sin theta
D.2 pi r sin theta

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Answer: B. 2piR cos theta

Circumference of a latitude circle = 2πR cosθ.

JAMB 2020Question 5 · Geometry and Mensuration

A cylindrical tank has a capacity of

3080 m^{3}

. What is the depth of the tank if the diameter of its base is 14m?

A.25m
B.23m
C.22m
D.20m

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Answer: D. 20m

h=3080/(( $\frac{22}{7}$ )×49)=20m.

JAMB 2020Question 6 · Inequalities, Permutation, and Combination

If x is positive real number, find the range of values for which

\frac{1}{3 x}

\frac{1}{2}

\frac{1}{4 x}

A.x > - $\frac{1}{6}$
B.x > 0
C.0 < x < 6
D.0 < x < $\frac{1}{6}$

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Answer: B. x > 0

Simplifying shows the inequality holds for all x>0.

JAMB 2020Question 7 · Number, Fractions, and Approximation

l o g_{10}

2 = 0.3010 and

l o g_{10}

3 = 0.4771, eventually without using the logarithm tables,

l o g_{10}

4.5

A.0.3010
B.0.4771
C.0.6532
D.0.9542

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Answer: C. 0.6532

log4.5=2log3-log2=0.9542-0.3010=0.6532.

JAMB 2020Question 8 · Number, Fractions, and Approximation

Find the value of x if

\frac{2}{x + 2}

\frac{1}{x - 2}

A.3 $2$ + 4
B.3 $2$ - 4
C.3 - 2 $2$
D.4 + 2 $2$

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Answer: A. 3 $2$ + 4

Cross-multiplying and rationalizing gives x=4+3 $2$ .

JAMB 2020Question 9 · Statistics and Probability

In a class of 150 students, the sector in a pie chart representing the students offering physics has angle

1 2^{o}

. How many students are offering physics?

A.18
B.15
C.10
D.5

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Answer: D. 5

$\frac{12}{360}$ ×150=5.

JAMB 2020Question 10 · Statistics and Probability

Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13

A.2
B.4
C.12
D.17

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Answer: A. 2

Mean=10; variance= $\frac{28}{7}$ =4; SD=2.

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