2018 - JAMB Mathematics Past Questions and Answers - page 3

21

If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\)  years is N123, find the principal.

A
N676.50
B
N820
C
N1,640
D
N4,920
correct option: c
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22

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A
N16,200
B
N14,200
C
N12,000
D
N8,000
correct option: a

10% depreciation at the end of first year (100-10%) = 90% of 20000

  = \(\frac{90}{100}\) x 20000 =18000

  At the end of second year, its value = 90% of 18000

  = \(\frac{90}{100}\) x 18000 = ₦16,200

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23

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark 0 1 2 3 4 5
Frequency 1 2 7 5 4 3

 

What is the median mark?

A
1
B
2
C
3
D
4
correct option: c

Total frequency = 1 + 2 + 7 + 5 + 4 + 3 = 22

  Median:

 = \(\frac{Nth}{2}\)

  term = \(\frac{22th}{2}\) = 11th term

  Going in ascending order, 11th term is 3, going in descending order 11th term is 3

  Median = 3 + \(\frac{3}{2}\) = \(\frac{6}{2}\) = 3

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24

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark 0 1 2 3 4 5
Frequency 1 2 7 5 4 3

What is the probability of selecting a student from the group that scored 2 or 3

A
\(\frac{1}{11}\)
B
\(\frac{5}{22}\)
C
\(\frac{7}{22}\)
D
\(\frac{6}{11}\)
correct option: d
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25

A boy walks 800m in 20 minutes. Calculate his average speed in Km/H

A
2.4
B
4
C
24
D
[]
correct option: a
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26

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

A
420Km
B
405Km
C
210Km
D
200Km
correct option: d

1litre cost ₦63

₦900 is the cost of \(\frac{900}{63}\) litres

  = 14.2857litres of petrol

nbsp; The car uses 1 litre for 14km

  So 14.2857 litres will be used for (14.2857 x 14)

  = 200km

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27

In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF

A
126°
B
72°
C
54°
D
28°
correct option: b
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28

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

A
3
B
4
C
5
D
6
correct option: b

Perimeter of circle = 2πr = πD (note D = 2r)

  Where r is radius and D is the diameter

  So perimeter = \(\frac{22}{7}\) x 100

  = 314.2857m

  To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18

  That is, at the number 4 round he is going to cover up to 1000m

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29

Use the cummulative frequency curve to answer the question. Estimate the median of the date represented on the graph

A
35.5
B
36.5
C
37.5
D
38.5
correct option: a
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30

Use the cummulative frequency curve to answer the question. What is the 80th percentile?

A
45.5
B
46.5
C
47.5
D
48.5
correct option: c
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