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## Breakthrough NABTEB Mathematics Question With Answer.

Below are NABTEB Maths Questions with answers

1. A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam, and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all three items. How many women are in the group?

A. 25
B. 19
C. 18
D. 17

1. If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.

A. [Math Processing Error]X
B. X-[Math Processing Error]
C. X-[Math Processing Error]
D. X-[Math Processing Error]

1. Find the value of X if [Math Processing Error]

A. 3√2+4
B. 3√2-4
C. 3-2√2
D. 4+2√2

1. If [Math Processing Error]What is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10

1. If [Math Processing Error]= [Math Processing Error]; what is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10

1. A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss.

A. 30% gain
B. 25% gain
C. 30% loss
D. 25% loss

1. What is the answer when 24346 is divided by 426?

A. 236
B. 356
C. 526
D. 556

1. If 29x (Y3)9= 35x (Y3)5, find the value of Y.

A. 4
B. 3
C. 2
D. 1

1. Simplify (0.0023×750)(0.00345×1.25)−−−−−−−−−√

A. 15
B. 20
C. 40
D. 75

1. If m∗n=(mn−nm) for m, n belong to R, evaluate -3*4

A. −2512
B. −712
C. 712
D. 2512

### Breakthrough NABTEB Mathematics Question With Answer.

1. The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers

A. p/2
B. 3p/2
C. 5p/2
D. 3p

1. A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

A. 2/3
B. 1/2
C. -1/2
D. -2/3

1. Factorize completely x2+2xy+y2+3x+3y−18
.
A. (x+y+6)(x+y-3)
B. (x-y-6)(x-y+3)
C. (x-y+6)(x-y-3)
D. (x+y-6)(x+y+3)
2. Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

A. 4≤X≤5
B. 5≤X≤8
C. 5≤X≤10
D. 8≤X≤10

1. Three consecutive positive integers k, l and m are such that l2= 3(k+m). Find the value of m.

A. 4
B. 5
C. 6
D. 7

1. Express 1×3−1 in partial fractions

A. 13(1x−1−(x+2)x2+x+1)
B. 13(1x−1−x−2×2+x+1)
C. 13(1x−1−(x−2)x2+x+1)
D. 13(1x−1−(x−1)x2−x−1)

1. The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

A. 8/5
B. 8/3
C. 72/25
D. 56/9

1. Divide 4×3 – 3x + 1 by 2x – 1

A. 2×2-x+1
B. 2×2-x-1
C. 2×2+x+1
D. 2×2+x-1

1. Find a positive value of α if the coordinate of the centre of a circle x2+ y2-2α 4yα=0 is (α, -2) and the radius is 4 units.

A. 1
B. 2
C. 3
D. 4

1. A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man’s head and the bird is 25m, what is the height of the tree?

A. 26.7m
B. 14.2m
C. 1.7+(253√3m
D. 1.7+(252√2m

#### Breakthrough NABTEB Mathematics Question With Answer.

1. In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.

A. 4.8 units
B. 7.2 units
C. 8.0 units
D. 18.0 units

1. Find the tangent to the acute angle between the lines 2x + y = 3 and 3x – 2y = 5.

A. -7/4
B. 7/8
C. 7/4
D. 7/2

1. From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR

A. 120m
B. 140m
C. 150m
D. 160m

1. Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

A. 2x + 2y = 9
B. 2x + 3y = 8
C. 2x + y = 9
D. x + 2y = 8

1. Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

A. 4 sq units
B. 2 sq units
C. 43squnits
D. 13squnits

#### Mathematics Question With Answer. – Breakthrough NABTEB Mathematics Question With Answer.

1. Evaluate: ∫z0(sinx−cosx)dxWhereletterz=π4.(π=pi)

A. 2+1−−−−√
B. 2–√−1
C. −2–√−1
D. 1−2–√

1. Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A. 81 π cubic units
B. 36 π cubic units
C. 18 π cubic units
D. 9 π cubic units

1. What is the derivative of t2 sin (3t – 5) with respect to t?

A. 6t cos (3t – 5)
B. 2t sin (3t – 5) – 3t2 cos (3t – 5)
C. 2t sin (3t – 5) + 3t2 cos (3t – 5)
D. 2t sin (3t – 5) + t2 cos 3t

1. Evaluate ∫1−2(x−1)2dx

A. −103
B. 7
C. 9
D. 11

1. Find the value of x for which the function y = x3 – x has a minimum value.

A. −3–√
B. −33−−√
C. 33−−√
D. 3–√

#### NABTEB Mathematics Question With Answer.- Breakthrough NABTEB Mathematics Question With Answer.

1. If the minimum value of y = 1 + hx – 3×2 is 13, find h.

A. 13
B. 12
C. 11
D. 10

1. Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.

Determine (P-Q) ∩ R

A. {1, x}
B. {x y}
C. {x}
D. ɸ

1. If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?

A. 480,000
B. 249,696
C. 249,600
D. 244,800

1. If (23√−2√)(3√+22√)=m+n6–√, find the values of m and n respectively.

A. 1, -2
B. -2, 1
C. −25, 1
D. 2, 3/5

1. In a youth club with 94 members, 60 like modern music, and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?

A. 8
B. 24
C. 62
D. 86

1. Evaluate (2.813×10−3×1.063)(5.637×10−2)reducing each number to two significant figures and leaving your answer in two significant figures.

A. 0.056
B. 0.055
C. 0.054
D. 0.54

#### NABTEB Mathematics Question With Answer.

1. A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

A. N112,000.50
B. N96,000.00
C. N85,714.28
D. N76,800.00

1. If 31410- 2567= 340x, find x. – Breakthrough NABTEB Mathematics Question With Answer.

A. 7
B. 8
C. 9
D. 10

1. Simplify 3(2n+1)−4(2n−1)2n+1−2n

A. 2n+1
B. 2n-1
C. 4
D. 1/4

1. If P3446−23P26=2PP26, find the value of the digit P.

A. 2
B. 3
C. 4
D. 5