JAMB Mathematics 1991 Past Questions and Answers

Mathematics JAMB 1991 Q15 ✓ Answer: C

If w varies inversely as uv/u + v and is equal to 8 when u = 2 and v = 6, find a relationship between u, v, w.

A

upw = 16(u + t)

B

16ur = 3w(u + t)

C

upw = 12(u + t)

D

12upw = u + r

Mathematics JAMB 1991 Q17 ✓ Answer: A

Factorize m3 – m2 – m + 2

A

(m2 + 1)(m - 2)

B

(m + 1)(m + 1)(m + 2)

C

(m + 1)(m + 1)(m - 2)

D

(m2 + 2)(m - 1)

Mathematics JAMB 1991 Q19 ✓ Answer: B

Which of the following is a factor of rs + tr – pt –ps?

A

(p - s)

B

(s - p)

C

(r - p)

D

(r + p)

Mathematics JAMB 1991 Q20 ✓ Answer: A

Find the two values of y which satisfy the simultaneous equation 3x + y = 8 x2 + xy = 6

A

-1 and 5

B

–5 and 1

C

1 and 5

D

1 and 1

Mathematics JAMB 1991 Q21 ✓ Answer: D

Find the range of values of x which satisfy the inequality (x/2 + x/3 + x/4) < 1

A

x < 12/13B. x < 13

C

x < 9

D

x < 13/12

Mathematics JAMB 1991 Q23 ✓ Answer: C

Solve the equation (x - 2)(x - 3) = 12

A

2,3

B

3,6

C

–1,6

D

1,6 [PAGE 29]

Mathematics JAMB 1991 Q24 ✓ Answer: A

Simplify (√1 + x + √x) (√ 1 + X - √ x)

A

1- 2x - 2√x(1 + x)

B

1 +2x +2√x(1+x)

C

√x(1+x)

D

1 + 2x - 2√x (1+x)

Mathematics JAMB 1991 Q25 ✓ Answer: B

Evaluate x2(x2 - 1)1/2 – (x2 – 1)1/2

A

(x2 – 1)1/2B. (x2 – 1)

C

(x2 – 1)-1

D

(x2 – 1)-1/2

Mathematics JAMB 1991 Q28 ✓ Answer: A

What is the nth term of the progression 27, 9,3,………..?

A

27(1/3)n – 1

B

3n + 2

C

27 + 18(n - 1)

D

27 + 6(n - 1)

Mathematics JAMB 1991 Q31 ✓ Answer: C

The angles of a quadrilateral are 5x – 30, 4x + 60, 60 – x and 3x + 61. find the smallest of these angles.

A

5x – 30

B

4x + 60

C

60 – x

D

3x + 61.

Mathematics JAMB 1991 Q32 ✓ Answer: C

The area of a square is 144sqcm. Find the length of its diagonal

A

11√3cm

B

12cm

C

12√2cm

D

13cm

Mathematics JAMB 1991 Q33 ✓ Answer: A

One angle of a rhombus is 600. the shorter of the two diagonals is 8cm long. Find the length of the longer one

A

8√3

B

16/√3

C

5√3

D

10/√3

Mathematics JAMB 1991 Q35 ✓ Answer: C

If PM = 5cm, PN = 12cm and PQ = 4.8cm, calculate the respective lengths of PR and PT in centimeters.

A

7.3,5.9

B

7.7,12.5

C

12.5,7.7

D

5.9,7.3 36. If PNR = 1100 and PMQ = 550, find MPQ.

Mathematics JAMB 1991 Q40 ✓ Answer: D

Simplify cos2x (sec2x + sec2x tan2x)

A

Tan x

B

Tan x sec x

C

Sec2 x

D

Cosec2 x

Mathematics JAMB 1991 Q41 ✓ Answer: C

If cos x = √a/b, find cosec x.

A

b

B

b √ b - a √ a

C

b

D

√ b - a √ b - a a

Mathematics JAMB 1991 Q44 ✓ Answer: C

6 cm 8 cm V 2 cm S R W In the figure above, PQRS is a square of side 8cm. What is the area of UVW?

A

64sq.cm

B

54sq.cm

C

50sq.cm

D

10sq.cm

Mathematics JAMB 1991 Q45 ✓ Answer: B

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm.

A

56pcm2

B

72pcm2

C

96pcm2

D

192pcm2

Mathematics JAMB 1991 Q46 ✓ Answer: C

x a a Find the volume of the figure above.

A

pa2/3

B

pa2y

C

pa2/3(y + x)

D

(1/3pa2 x + y)

Mathematics JAMB 1991 Q47 ✓ Answer: A

3% of a family’s income is spent on electricity. 9% on food. 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

A

76.80 and 25.20

B

10.80 and 224.60

C

112.40 and 72.00

D

39.60 and 212.40 Use the following information to answer question 48 and 49. No of defective per box 4 5 6 7 8 9 2 7 17 10 8 6 No . of boxes Fifty boxes each of 50balls were inspected for the number which were defective. The following was the result

Mathematics JAMB 1991 Q48 ✓ Answer: B

The mean and the median of the distribution are respectively

A

6.7,6

B

6.7,6.5

C

6,6.7

D

6.5,6.7

JAMB Mathematics 1991 past questions