➗ 1987

JAMB Mathematics 1987 past questions

31 questions from the 1987 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1987 Q2 ✓ Answer: D
Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length.
A
120cm
B
240ccm
C
360cm
D
480cm
Mathematics JAMB 1987 Q4 ✓ Answer: C
Reduce each number to two significant figures and then evaluate (0.02174 x 1.2047) 0.023789
A
0.8
B
0.9
C
1.1
D
1.2
Mathematics JAMB 1987 Q6 ✓ Answer: D
If the length of a square is increased by 20% while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?
A
6.5
B
25.24
C
5.6
D
24.25 [PAGE 16]
Mathematics JAMB 1987 Q7 ✓ Answer: A
Two brothers invested a total of #5,000.00 on a farm project. The farm yield was sold for # 15, 000.00 at the end of the season. If the profit was shared in the ratio 2:3, what is the difference in the amount of profit received by the brothers?
A
#2,000.00
B
#4,000.00
C
#6,000.00
D
#10,000.00
Mathematics JAMB 1987 Q8 ✓ Answer: B
Peter’s weekly wages are #20.00 for the first 20 weeks and #36.00 for the next 24 weeks. Find his average weekly wage for the remaining 8 weeks of the year. If his average weekly wage for the whole year is #30.00
A
#37.00
B
#35.00
C
#30.00
D
#5.00
Mathematics JAMB 1987 Q10 ✓ Answer: B
By selling 20 oranges for #1.35 a trader makes a profit 8%. What is his percentage gain or loss if he sells the same 20 oranges for #1.10?
A
8%
B
10%
C
12%
D
15%
Mathematics JAMB 1987 Q13 ✓ Answer: B
Instead of writing 35/6 as a decimal correct to 3 significant figures, a student wrote it correct to 3 places of decimals. Find his error in standard form
A
0.003
B
3.0 x 10-3
C
0.3 x 102
D
0.3 x 10-3
Mathematics JAMB 1987 Q14 ✓ Answer: B
Simplify without using tables (Log26 – Log23)/(Log28- 2Log21/2)
A
1/5
B
½
C
–1/2
D
Log23/Log27
Mathematics JAMB 1987 Q15 ✓ Answer: D
Simplify without using tables 2√ 14 x 3√21) / 7√24x 2√98)
A
3√14
B
3√21 4 4
C
3 √14
D
3 √2 28 28
Mathematics JAMB 1987 Q18 ✓ Answer: D
The formula Q = 15 + 0 5n gives the cost Q (in Naira) of feeding n people for a week. Find in kobo the extra cost of feeding one additional person.
A
350k
B
200k
C
150k
D
50k
Mathematics JAMB 1987 Q19 ✓ Answer: B
If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2
A
P = 98R2
B
PR2 = 98
C
P = 1/98R
D
P = R2/98
Mathematics JAMB 1987 Q20 ✓ Answer: D
Make y the subject of the formula Z = x2 + 1/y3
A
y = 1
B
y = 1 (z - x2) 3 (Z + x3) 1/3
C
y = 1
D
y = 1 (Z - x2) 1/3 3√Ζ − 3√ x2
Mathematics JAMB 1987 Q21 ✓ Answer: C
Find the values of m which make the following quadratic function a perfect square x2 + 2 (m + 1) x + m + 3
A
-1, 1
B
–1, 2
C
1, -2
D
2, -2
Mathematics JAMB 1987 Q22 ✓ Answer: A
Factorize 62x + 1 + 7(6x) - 5
A
{3(6x) – 5} {2(6x)} + 1}
B
{3(6x) – 5} {2(6x)} - 1}
C
{2(6x) – 5} {3(6x)} + 1}
D
{2(6x) – 5} {3(6x)} - 1}