Mathematics 2020 (Jamb) General Questions

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In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

4

8

16

20

Find the values of x for which

x + 2 | – | 2x – 3 | < | 4 |

4 | 3 |

x < 8

x > -6

x < 4

x > -3

Find /N/

65

23

17

91

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

^{5}⁄_{8}

^{5}⁄_{16}

½

^{3}⁄_{8}

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

N1000

N2000

N3000

N4000

Evaluate 5^{-3}log2 x 2^{2 log}^{3}

8

1^{1}⁄_{8}

^{2}⁄_{5}

^{1}⁄_{8}

A trader realises 10x – x^{2} Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

7

6

5

4

Find the average of the first four prime numbers greater than 10.

20

19

17

15

If y = 23_{five} + 101_{three}, find y, leaving your answer in base two

1110

10111

11101

111100

Find the value of x in the diagram

10°

28°

36°

40°

Solve for t in the equation ^{3}⁄_{4}t + ^{1}⁄_{3}(21 – t) = 11

^{9}⁄_{13}

^{9}⁄_{13}

5

9^{3}⁄_{5}

A school girl spends ^{1}⁄_{4} of her pocket money on books and ^{1}⁄_{3} on dress. What fraction remains?

^{5}⁄_{6}

^{7}⁄_{12}

^{5}⁄_{12}

^{1}⁄_{6}

Given that Sin(5x – 28)° = Cos(3x – 50)°, 0 < x < 90°. Find the value of x.

14°

21°

32°

39°

If

x | + | y | = | 1 |

a + 1 | b |

make y the subject of the relation.

b(a + 1 – x) | |

a + 1 |

a + 1 | |

b(a – x + 1) |

a(b – x + 1) | |

b + 1 |

b | |

a(b – x + 1) |

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

1920cm^{2}

592cm^{2}

296cm^{2}

148cm^{2}

Convert 0.04945 to two significant figures

0.040

0.049

0.050

0.49

From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree

026°

045°

210°

240°

The probabilities that John and James pass an examination are ^{3}⁄_{4} and ^{3}⁄_{5} respectively. Find the probability of both boys failing the examination.

^{1}⁄_{10}

^{3}⁄_{10}

^{9}⁄_{20}

^{11}⁄_{20}

From a point P, R is 5km due West and 12Km due South. Find the distance between P and R

5km

12km

13km

17km

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = ^{22}⁄_{7})

14.67cm

42.67cm

101.33cm

513.33cm

Simplify

25⅔ + 25⅙ | |

(⅕)^{7}⁄_{6} x (⅕)⅙ |

25

1

⅕

^{1}⁄_{25}

Make T the subject of the relation.

T | = | R + P^{3} |
||

15Q |

T | = | R – 15P^{3} |
||

Q |

T = R – ^{15P}^{3}⁄_{Q}

T | = | 15R + Q | ||

P^{3} |

What is the place value of 9 in the number 3.0492?

^{9}⁄_{10000}

^{9}⁄_{1000}

^{9}⁄_{100}

^{9}⁄_{10}

If the simple interest on a sum of money invested at 3% per annum for 2½years is N123, find the principal.

N676.50

N820

N1,640

N4,920

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?

N16,200

N14,200

N12,000

N8,000

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?

1

2

3

4

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

^{1}⁄_{11}

^{5}⁄_{22}

^{7}⁄_{22}

^{6}⁄_{11}

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

2.4

4

16

24

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?

420Km

405Km

210Km

200Km

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

126°

72°

54°

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?

3

4

5

6

Estimate the median of the date represented on the graph

35.5

36.5

37.5

38.5

Use the cummulative frequency curve to answer the question.

What is the 80th percentile?

45.5

46.5

47.5

48.5

Simplify and express in standard form

0.00256 x 0.0064 | |

0.025 x 0.08 |

8.8 x 10^{-1}

8.8 x 10^{-2}

8.8 x 10^{-3}

8.8 x 10^{3}

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo’s share to Kehinde’s is 11:9. Later Kehinde sells ^{2}⁄_{3} of her share to Taiwo for N720.00. Find the value of the store

N1,080.00

N2,400.00

N3,000.00

N3,600.00

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

^{15}⁄_{17}

^{9}⁄_{17}

^{8}⁄_{15}

^{12}⁄_{17}

Divide the L.C.M of 48, 64 and 80 by their H.C.F

20

30

48

60

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

5x + 7y = 20

7x + 5y = 70

xy = 7

15x + 17y = 90

A man’s initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

N828.00

N756.00

N720.00

N684.00

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

52cm

43cm

40cm

15cm

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