Question 1

Which Question Paper Type of Mathematics is given to you?

Accepted Answer

D. Type U

Answer

A. Type D

Answer

B. Type I

Answer

C. Type B

Question 2

Convert 27₁₀ to another number in base three.

Accepted Answer

A. 1100₃

Answer

B. 1001₃

Answer

C. 1001₃

Answer

D. 1010₃

Question 3

3 girls share a number of apples in the ratio 5:3:2. If the highest share is 40, find the smallest share.

Accepted Answer

A. A. 16

Answer

B. B. 38

Answer

C. C. 36

Answer

D. D. 24

Question 4

Evaluate 1.25×0.024/0.05, correct to 1 decimal place.

Accepted Answer

C. C. 0.6

Answer

A. A. 6.3

Answer

B. B. 0.5

Answer

D. D. 6.2

Question 5

Calculate the time taken for ₦3000 to earn ₦600 if invested at 8% simple interest.

Accepted Answer

C. C. 2½ years

Answer

A. A. 3½ years

Answer

B. B. 1½ years

Answer

D. D. 3 years

Question 6

Simplify (3^(3−5n))/(9^(1−n)) × 27^(n+1)

Accepted Answer

B. B. 3

Answer

A. A. 3⁵

Answer

C. C. 3²

Answer

D. D. 3³

Question 7

If log₁₀ 10⁴ = 0.6021, evaluate log₁₀ 4^(1/3).

Accepted Answer

B. B. 0.2007

Answer

A. A. 1.8063

Answer

C. C. 0.3011

Answer

D. D. 0.9021

Question 8

Simplify √5(√147−√12)/√15

Accepted Answer

C. C. 5

Answer

A. A. 1/9

Answer

B. B. 9

Answer

D. D. 1/5

Question 9

P, Q and R are subsets of the universal set U. The Venn diagram showing the relationship (P∩Q)∪R is:

Accepted Answer

C. C. [Venn C]

Answer

A. A. [Venn A]

Answer

B. B. [Venn B]

Answer

D. D. [Venn D]

Question 10

If P={x:x is odd, −1<x≤20} and Q={y:y is prime, −2<y≤25}, find P∩Q.

Accepted Answer

A. A. {3,5,7,11,13,17,19}

Answer

B. B. {3,5,7,11,13,17,19}

Answer

C. C. {3,5,7,11,13,17,19}

Answer

D. D. {3,5,11,13,17,19}

Question 11

If S = √(t²−4t+4), find t in terms of S.

Accepted Answer

D. D. S+2

Answer

A. A. S−2

Answer

B. B. S²+2

Answer

C. C. S²−2

Question 12

If x−4 is a factor of x²−x−k, then k is:

Accepted Answer

D. D. 12

Answer

A. A. 20

Answer

B. B. 2

Answer

C. C. 4

Question 13

The remainder when 6p³−p²−47p+30 is divided by p−3 is:

Accepted Answer

D. D. 42

Answer

A. A. 63

Answer

B. B. 18

Answer

C. C. 21

Question 14

P varies jointly as m and u, and varies inversely as q. Given p=4,m=3,u=2 when q=1, find p when m=6,u=4,q=8/5.

Accepted Answer

A. A. 10

Answer

B. B. 8/5

Answer

C. C. 288/5

Answer

D. D. 128/5

Question 15

If r varies inversely as the square root of s and t, how does s vary with r and t?

Accepted Answer

D. D. s varies directly as r² and t

Answer

A. A. s varies directly as r and t²

Answer

B. B. s varies directly as r and t

Answer

C. C. s varies directly as r and t²

Question 16

Evaluate 3(x+2)>6(x+3)

Accepted Answer

A. A. x<−4

Answer

B. B. x>4

Answer

C. C. x<4

Answer

D. D. x>−4

Question 17

The graph above is correctly represented by:

Accepted Answer

C. C. y=x²−x−2

Answer

A. A. y=x²−x−1

Answer

B. B. y=x²+x−2

Answer

D. D. y=x²−3x+2

Question 18

Solve for x: |x−2|<3

Accepted Answer

A. A. −1<x<5

Answer

B. B. x<1 C. x<5

Answer

C. C. −2<x<3

Answer

D. D. x<5

Question 19

If the sum of the first two terms of a GP is 3, and the sum of the second and third terms is −6, find the sum of the first term and the common ratio.

Accepted Answer

A. A. −5

Answer

B. B. 5

Answer

C. C. −2

Answer

D. D. −3

Question 20

The nth term of the progression 4/2, 7/3, 10/4, 13/5,… is:

Accepted Answer

A. A. (3n+1)/(n+1)

Answer

B. B. (3n−1)/(n+1)

Answer

C. C. (1−3n)/(n+1)

Answer

D. D. (3n+1)/(n−1)

Question 21

If a binary operation * is defined by x*y=x+2y, find 2*(3*4).

Accepted Answer

C. C. 24

Answer

A. A. 14

Answer

B. B. 26

Answer

D. D. 16

Question 22

If P=[5 3; 2 1] and Q=[4 2; 3 5], find 2P+Q.

Accepted Answer

B. B. [7 7; 8 14]

Answer

A. A. [7 7; 8 14]

Answer

C. C. [8 14; 7 7]

Answer

D. D. [14 8; 7 7]

Question 23

Find the inverse of the matrix [5 3; 6 4].

Accepted Answer

A. A. [2 −3/2; −3 5/2]

Answer

B. B. [2 −3/2; −3 5/2]

Answer

C. C. [2 −3/2; −3 −5/2]

Answer

D. D. [2 −3/2; −3 5/2]

Question 24

In the diagram, find the value of x.

Accepted Answer

D. D. 40°

Answer

A. A. 45°

Answer

B. B. 15°

Answer

C. C. 30°

Question 25

The value of x in the figure above is:

Accepted Answer

B. B. 130°

Answer

A. A. 70°

Answer

C. C. 110°

Answer

D. D. 100°

Question 26

If the angles of a quadrilateral are (3y+10)°, (2y+30)°, (y+20)° and 4y°, find the value of y.

Accepted Answer

C. C. 30°

Answer

A. A. 66°

Answer

B. B. 12°

Answer

D. D. 42°

Question 27

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

Accepted Answer

B. B. 336

Answer

A. A. 720

Answer

C. C. 420

Answer

D. D. 576

Question 28

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8cm.

Accepted Answer

D. D. 8√2 cm

Answer

A. A. 8√3 cm

Answer

B. B. 4cm

Answer

C. C. 8cm

Question 29

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

Accepted Answer

C. C. 8πcm²

Answer

A. A. 32πcm²

Answer

B. B. 4πcm²

Answer

D. D. 16πcm²

Question 30

The locus of the points which is equidistant from the line PQ forms a:

Accepted Answer

C. C. pair of parallel lines to PQ

Answer

A. A. perpendicular line to PQ

Answer

B. B. circle centre P

Answer

D. D. pair of parallel lines to PQ

Question 31

If the midpoint of the line PQ is (2,3) and the point P is (−2,1), find the coordinate of Q.

Accepted Answer

D. D. (6,5)

Answer

A. A. (8,6)

Answer

B. B. (5,6)

Answer

C. C. (0,4)

Question 32

Find the equation of the perpendicular bisector of the line joining P(2,−3) to Q(−5,1).

Accepted Answer

B. B. 8y−14x+13=0

Answer

A. A. 8y+14x+13=0

Answer

C. C. 8y−14x−13=0

Answer

D. D. 8y+14x−13=0

Question 33

In triangle PQR, q=8cm, r=6cm and cosP=1/12. Calculate the value of p.

Accepted Answer

D. D. 10cm

Answer

A. A. √108 cm

Answer

B. B. 9cm

Answer

C. C. √92 cm

Question 34

If tanθ=3/4, find the value of sinθ+cosθ.

Accepted Answer

B. B. 1⅕

Answer

A. A. 1⅓

Answer

C. C. 1⅗

Answer

D. D. 1⅖

Question 35

If y=(2x+2)³, find dy/dx.

Accepted Answer

B. B. 6(2x+2)²

Answer

A. A. 3(2x+2)

Answer

C. C. (2x+2)³

Answer

D. D. 6(2x+2)

Question 36

If y=xsinx, find dy/dx.

Accepted Answer

B. B. sinx+xcosx

Answer

A. A. sinx−xcosx

Answer

C. C. sinx−cosx

Answer

D. D. sinx+cosx

Question 37

The radius of a circle is increasing at the rate of 0.02 cms⁻¹. Find the rate at which area is increasing when radius is 7cm.

Accepted Answer

B. B. 0.88 cm²s⁻¹

Answer

A. A. 0.35 cm²s⁻¹

Answer

C. C. 0.75 cm²s⁻¹

Answer

D. D. 0.53 cm²s⁻¹

Question 38

Integrate (1+x)/x² dx

Accepted Answer

B. B. −1/(2x²)−1/x+k

Answer

A. A. 2x²−1/x+k

Answer

C. C. −x²/2−1/x+k

Answer

D. D. x²−1/x+k

Question 39

Evaluate ∫₀^π sin x dx

Accepted Answer

B. B. 2

Answer

A. A. −2

Answer

C. C. 1

Answer

D. D. −1

Question 40

The bar chart shows time allotment per week for subjects. What is the total time for six subjects per week?

Accepted Answer

D. D. 720mins

Answer

A. A. 960mins

Answer

B. B. 200mins

Answer

C. C. 460mins

Question 41

The pie chart shows statistical distribution of 80 students in five subjects. How many students offer Mathematics?

Accepted Answer

C. C. 30

Answer

A. A. 50

Answer

B. B. 20

Answer

D. D. 40

Question 42

Find the mean of t+2, 2t−4, 3t+2 and 2t.

Accepted Answer

A. A. 2t+1

Answer

B. B. t C. t+1

Answer

C. C. 1D. 2t

Answer

D. D. 2t

Question 43

The mean of seven numbers is 10. If six of the numbers are 2,4,8,14,16 and 16, find the mode.

Accepted Answer

B. B. 8

Answer

A. A. 14

Answer

C. C. 2

Answer

D. D. 6

Question 44

Age: 20,25,30,35,40,45; No of people: 3,5,1,1,2,3. Calculate the median age.

Accepted Answer

C. C. 25

Answer

A. A. 35

Answer

B. B. 20

Answer

D. D. 30

Question 45

If variance of 3+x, 6, 4, x and 7−x is 4 and the mean is 5, find the standard deviation.

Accepted Answer

D. D. 2

Answer

A. A. 3

Answer

B. B. 12

Answer

C. C. 43

Question 46

Score: 3,4,5,6,7,8,9,10; Freq: 1,0,7,5,2,3,1,1. What is the range of the distribution?

Accepted Answer

C. C. 7

Answer

A. A. 3

Answer

B. B. 10

Answer

D. D. 6

Question 47

In how many ways can a student select 2 subjects from 5 subjects?

Accepted Answer

A. A. 5!/2!3!

Answer

B. B. 5!/2!

Answer

C. C. 5!/3!

Answer

D. D. 5!/2!1!

Question 48

In how many ways can 3 seats be occupied if 5 people are willing to sit?

Accepted Answer

B. B. 120

Answer

A. A. 5

Answer

C. C. 60

Answer

D. D. 20

Question 49

What is the probability that an integer x (1≤x≤25) chosen at random is divisible by both 2 and 3?

Accepted Answer

A. A. 4/25

Answer

B. B. 3/4

Answer

C. C. 1/5

Answer

D. D. 1/5

Question 50

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked. Find the probability it is neither an apple nor an orange.

Accepted Answer

B. B. 3/8

Answer

A. A. 7/24

Answer

C. C. 2/3

Answer

D. D. 1/3

JAMB Mathematics 2013 Objective Past Questions

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