MATHEMATICS EXAM QUESTIONS FOR JSS2 SECOND TERM
JSS2 SECOND TERM MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM
SECOND TERM EXAMINATION
Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.
Subject: Mathematics Class: J S S 2 Section A
1. Find the value of 40+628+320 (a)680 (b) 625 (c) 420 (d) 348
14. If p=9, q=3, evaluate (^{𝑝})2 (a) 9 (b) 15
𝑞
(c) 18 (d) ^{81}
9
15. Find HCF of 7x3y and 14x2y3 is (a) 7x2y (b) 7x2y2 (c) 14x2y2 (d) 21x2y
16. Solve 3x – 4 = – 2x + 16 (a) x = 4 (b) x
= 5 (c) x = 6 (d) x = 8
- Solve the inequality 3x + 2 < 23 (a) x<7 (b) x<8 (c) x<21 (d) x<9
Locate the points shown on the grid in the graph below
- Evaluate ^{3} x ^{2} + ^{1}
(a) 29
(b) ^{19} (c) ^{7} ^{8}
(d) 8
30
4 5 3
30 30 30 7
6
- The product of 106 and 2.5 is (a) 2620 (b) 265 (c) 3050 (d) 420
- The square root of 0.01 is (a) 15 (b) ^{1}
10
(c) 12 (d) 10.5
- Find the value of 9-2 (a) 91 (b) 81 (c)
A B E C D |
29 (d) ^{1}
5
4
3
2
1
0 1 2 3
4 5 6
7 8 9 10 11 12
81
6. Evaluate √6 1 (a) ^{5} (b) ^{25} (c) 2^{1} (d) ^{4}
Use the graph above to answer questions 18
– 20
4 3 4 2 5
7. Find the L.C.M of 4x and 6x (a) 18x (b) 112x (c) 12x (d) 24×2
8. Divide 420 by 20 (a) 31 (b) 80 (c) 21
(d) 42
- Simplify 8a – (3a + a) (a) 11a + 1 (b) 24a – 8 (c) 5a + 1 (d) 4a
2 |
Reduce ^{9𝑎𝑏}2 to it lowest term (a) 6ab2
3𝑎 𝑏
(b) ^{𝑏} (c) ^{3𝑏} (d) ^{𝑎𝑏2}
- What is the mathematical name of the shape ABCD? (a) kite (b) rectangle (c) trapezium (d) rhombus
- Subtract ab from cd in y axis (a) 18 (b) 20 (c) 46 (d) 18
- Find the value of c+d – b+e (a) -5 (b) 6 (c) 5 (d) 10
- A
3𝑎 𝑎 3
- A piece of stair carpet is 9.20m long B E and 0.48m wide. Estimate the area of
the carpet (a) 4.5m2 (b) 5m2 (c) C D
4.42m2 (d) 5.5m2
What is the name of shape above (a)
- Simplify ^{12𝑥𝑦}2
(a) 2𝑥
(b) ^{2𝑥𝑦}2 (c) ^{2}
(d)
kite (b) pentagon (c) rectangle (d)
6𝑥 𝑦
12𝑥𝑦
18𝑥2𝑦
2
2
3𝑥𝑦
3𝑦
3𝑥
parallelogram
22. Equilateral triangle has its three
13. Find the value of “a” in 5a – 10 = 15 (a) 5 (b) 4 (c) 2 (d) 7
angles equal (a) No (b) yes (c) either f the two (d) none of the above.
23.
X
-1 0 1 2 3 4 5
What is the value of inequality shown above? (a) x>21 (b) x≥ 4 (c) x ≤ 2 (d) x > 2
- Find the value of a in 3a – 5 = 25 (a) 10 (b) 15 (c) 5 (d) -10
- Solve the inequality 3x+2 < 20 (a) x<6 (b) x<8 (c) x<7 (d) x<9
- Find the value of 0.069 x 0.38 (a) 0.02622 (b) 0.398 (c) 0.00975 (d)
24. Expand (x-3) (x+5) (a) x2+8x-15 (b) x2+5x-3x-15 (c) 3×2-5x+3x (d) x2+6×2+3x+10
25. Solve 3(2x-3) = 15 (a) x = 6 (b) x
= 4 (c) x = 8 (d) x = 10
0.59
Use the following shapes to answer questions 36 – 38
26.
27.
Expand and simplify (a) ax+5a (b) x+5 (c) ax2+10 (d) x2 + 25
Find the inequalities illustrated in the numbers line shown below.
A B C
- What is the name of shapes B? (a) isosceles triangle (b) kite (c) pentagon
(d) rectangle
- How many shapes has in diagram C above? (a) 2 (b) 4 (c) 3 (d) 5
- What is the name of shapes A? (a) kite
(b) rhombus (c) parallelogram (d) trapezium
- Find the value for the inequality shown below.
-3 -2 -1 0 1 2 3 4 5 x
(a) x≤ 5 (b) x ≤ -2 (c) x ≥ 3 (d) x>5
28. Simplify 4𝑥+1 + 𝑥−5
(a) 5𝑥+17 (b) 3𝑥+16
-5 -4 -3 -2 -1 0 1 2 3 4 5
3 2 6 4
(a) X<4 (b) x> 5 (c) x≤ 4 (d) x ≥ 3
(c) 2𝑥+9 (d) 11𝑥−13
3 6 40. Change ^{5} to decimal number (a) 0.625
29. Reduce ^{5𝑎}2𝑏3 to its lowest term (a) ^{3𝑦} ^{8}
- 3 2𝑥
10𝑎𝑏
- 𝑦
3𝑥
(d) ^{𝑎𝑏}2
2
2𝑥
(b) 0.75 (c) 0.85 (d) 0.975
30. Solve ^{2𝑎} + ^{3𝑎} (a) ^{19𝑎} (b) ^{21𝑎} (c) ^{8𝑎} (d)
3 5 15
7𝑎
3
15 15
- The following shapes belong to the same family EXCEPT (a) rectangle (b) rhombus (c) kite (d) parallelogram
- If 5 is multiplied by its multiplicative
inverse, the result is (a) ^{1} (b) – ^{1} (c) 1
5 7
- –^{1}
5
JSS2 SECOND TERM MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM
Part B
Answer 3 questions only in this part
ii |
ii |
1a. Simplify the following fractions and reduce its lowest term.
i |
6𝑥𝑦3
18𝑥2𝑦 2
9𝑎5𝑏3
3𝑎3𝑏3
2(𝑥−𝑦)
6(𝑥−𝑦)
b Simplify i ^{𝑥−2} x ^{14} ii
÷ |
8𝑡 4𝑡
(𝑝−𝑡)2 (𝑝−𝑡) ^{3}
7 (𝑥−2)2
- Solve the following algebraic fractions
i 2𝑥−3 + 3𝑥+4
ii (x-6) – ^{2(𝑥−2)}
3 2 4
iii. 𝑥−3 – 𝑥+1 + 5𝑥
2 3 4
iv. 3 – ^{2} + ^{4}
𝑥 3𝑥
- Use the linear equation, y = 2x+3 and the table prepared below to plot a straight – line graph. Take the value of x from -3 to +2
X | -3 | -2 | -1 | 0 | 1 | 2 |
Y | -3 | -2 | 0 | 3 | 5 | 7 |
4a Represented each of these inequalities in number line (a) x ≤ 5 (b) x ≥ -2
(c) x > 3
b Solve the following inequalities (a) 8 + 2x > 3 + 5x (b) 5x – 4 > 8
5a Think of a number add 5 to it and multiply the result by 3, the answer is
36. What is the number? b Solve the equation
(i) 5x – 10 – 3x = 2x + 20 – 3x.
c. 2(3−2𝑥) + 𝑥
6 4
i. 3𝑥 – 2𝑥
ii. 5 – ^{3}
MID-TERM EXAMINATION
J.S. 2 Time: 40 minutes
1. The HCF of 7x3y and 14x2y3 is (a) 14x3y3 (b)14x2y (c) 7x2y (d)7x2y2
2. Simplify ^{4𝑥+} ^{1} – ^{𝑥−5} (a) ^{5+3𝑥} (b) ^{5𝑥+3} (c)
8 6 2𝑥 4𝑥
b. Solve the following fractions
i. (x – 2) – ^{2(𝑥−4)} 6
ii. 2𝑥−3 + 3𝑥−8 7 14
3 12 4 4
2𝑥+ 2 (d) 15𝑥+ 1
4 12
1. Find value of y in 3y -6 =12 (a) y=6 (b) y=5 (c) y=9 (d) y=12
2. Solve 2(2x-3)= 15 (a) 3 (b) 5 (c) -6 (c)
d
- Solve the equation ^{𝑚} + 4 = 1 (a) o (b)
3
13 (c) -9 (d) -13
- Solve the inequality 3x + 2 < 23 (a)x<21 (b) x<8 (c) x<9 (d) x<7
- There were at least 8000 people who watched the football match. This can be written in inequality as (a) x ≥ 8000 (b) x < 8000 (c) x > 8000 (d) x ≤ 8000
- The value of x in the diagram below is X =
-4 -3 -2 -1
(a) X ≤ -1 (b) x ≥ -1 (c) x = -1 (d) x -1
2 |
2 |
Simplify and reduce it to its lowest
term |
^{2} 4 19𝑥 𝑦
3𝑥𝑦
(a)
3𝑥
𝑦
(2 b)
6𝑥
𝑦
(c)
2
3𝑥 |
(d)
𝑦
9𝑥
6𝑦
8. Factorize ab2 – a2b3 + a2bc (a) a(b- a2b+ab) (b) ab(b-ab2+ac) (c)ac(b2- ab2+ac) (d) a2b2(b+a2b3+c)
Part B
Answer one question from this section, each question carries equal marks.
1. Simplify and reduce to its lowest term
i. 12𝑎2𝑐3
16𝑎^{3}𝑐
ii. 10𝑛^{2}𝑚2
5𝑚3
b. Solve the equations i. 4x + 6 = -3x – 8
ii. 5x – 10 – 3x = 2x + 20 – 3x
JSS2 SECOND TERM MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM
SECOND TERM EXAM
J.SS 2
SUBJECT : MATHEMATICS
(1) Express 1/16 in standard form
(A) 6.25 x 10 (B) 6.25 x 10^{-1} (C) 6.25 x 10^{-2} (D) 6.25 x 10^{0}
(2) Simply 5/6 x 4 ^{2}/3 ÷ 2 ^{7}/9
(A) 2½ (B) 1 ^{2}/5 (C) 2/7 (D) 5/8
- Express 15 metres as a percentage of 5 kilometres (A) 3% (B) 0.3% (C) 0.03% (D) 0.003%
- Find the square root of 3 ^{6}/25
(A) 3.234 (B) 1.24 (C) 9/5 (D) 5/9
- Simply (1/4)^{2}
(A) 16 (B) ^{1}/16 (C) 1/8 (D) 2
- Round off 0.995 to the nearest hundredth (A) 0.95 (B) 0.94 (C) 1.00 (D) 1.45
- Simply 8 x 10^{9} divided by 4 x 10^{6}
(A) 80^{9}/40^{6} (B) 4 x 10^{15} (C) 4 x 10^{3} (D) 2 x 10^{3}
(8) Simplify -3 + (-3) – (-11)
(A) 17 (B) -17 (C) 5 (D) -5
- Simplify (-2) x (-12) (+6)^{2}
(A) 2/3 (B) 3/2 (C) 5/6 (D) -1/7
- What is the co-efficient of ‘y’ in the expansion of (6+y) ( 3-y)? (A) 3 (B) 6 (C) -3 (D) -6
- Express 85 as a binary number
(A) 11101012 (B) 10101012 (C) 11101102 (D) 10111102
(12) 1110112 + 11112 =
(A) 10010102 (B) 11101102 (C) 10011102 (D) 11111112
The heights of 10 students in meters area s follows:
1.1, 1.8, 103, 1.1, 1.4, 1.2, 1.1, 1.3, 1.4, 1.2
Use the information above to answer question 13 – 17
- Find the median height
(A) 1.2 (B) 1.25 (C) 1.3 (D) 1.4
- Find the mean height
(A) 1.2 (B) 1.1 (C) 1.3 (D) 1.29
- Find the range of the set of heights (A) 1.3 (B) 1.1 (C) 0.7 (D) 1.2
- Find the modal height of the distribution (A) 1.8 (B) 1.3 (C) 1.2 (D) 1.1
- If a student is picked at random, what is the probability that he is one of the shortest students?
(A) 3/10 (B) 2/5 (C) ½ (D) 3/5
- Express 4.55 x 10^{-3} in ordinary form
(A) 0.00455 (B) 0.0455 (C) 45.5 (D) 455
(19) Simplify 8- (-2) – (-1)
(A) 16 (B) 11 (C) 5 (D) 3
- Write the next two numbers in the sequence -4, -6, -8, – , – , (A) 10, 12 (B) -7, -12 (C) -12, -10 (D) -10, -12
- Find the value of x in the diagram below 1510
890
X0
(A) 120^{0} (B) 148^{0} (C) 162^{0} (D) 180^{0}
- Solve the equation 6a + 7 = 3a + 25 A) 4 (B) 6 (C) 7 (D) 8
- An isosceles triangle has number of lines of symmetry (A) 0 (B) 1 (C) 2 (D) 3
- How many lines of symmetry has an equilateral triangle? (A) 3 (B) 2 (C) 1 (D) 0
- Round off 0.008251 to 2 significant figures (A) 0.82 (B) 0.83 (C) 0.0083 (D) 0.0082
- If a = 4 x 9 x 16, find the value of a (A) 16 (B) 24 (C) 36 (D) 48
(27) Solve 1/6 –b = 1/b -5
(A) 11/2 (B) – 9/2 (C) 12/5 (D) 1¾
- Change the decimal fraction 0.016 to a common fraction (A) 4/250 (B) 2/125 (C) 4/125 () 1/625
- Convert 107ten to a number in base two
(A) 10101112 (B) 10111002 (C) 11101112 (D) 11010112
- Write 394 in Roman numerals
- CCCIV (B) CCIX (C) CCCICV (D) CCCXCIV
- A trader bought a book for N500.00 and sold it for N360. Calculate the percentage loss. (A) 18 (B) 30 (C) 28 (D) 36
- The sum of two consecutive even number is 34. Find the smaller number? (A) 20 (B) 16 (C) 14 (D) 12
- Calculate the length of the side of a square whose area is 1089cm^{2}
(A) 21cm (B) 23cm (C) 32cm (D) 33cm
- Express 72 as the product of its factors. Leaving your answer in index form. (A) 2^{2} x 3^{3} (B) 2^{3} x 3^{2} (c) 2^{4} x 3^{2} (d) 2^{2} x 3^{3}
- Find the square root of 42¼
(A) 6 ½ (B) 8 ½ (C) 3 ¼ (D) 7 ¼
- The value of 6^{2} is
(A) 12 (B) 36 (C) 62 (D) 26
- Find the range of the following set of numbers, 10, 10, 5, 11, 5, 11, 13, 7, 6 (A) 6 (B) 1 (C) 2 (D) 8
- Find the L.C.M. of 10ab, 14b^{2} and 18ab
(A) 14ab^{2} (B) 630ab^{2} (C) 360ab^{2} (d) 180ab^{2}
- Find the simple interest of N12,000 for 7 ½ years at 6% per annum? (A) N4500 (B) N5400 (C) N3800 (D) 6160
- Find the value of x in the diagram below:
(A) 28^{0} (B) 41^{0} (C) 68^{0} (D) 34^{0} SECTION B
Answer seven questions
- Simplify the following
(i) X^{5} x X^{-2} (ii) m^{0} x n^{0} (iii) b^{3} – b^{0} (iv) 2a^{-1} x 3a^{2} (v) P^{-2} ÷ p^{-7}
(1b) Round off the following to 2 significant figures
(i) 26002 (ii) 28336 (iii) 7284 (iv) 14612
Write down the sizes of the lettered angled
- Copy and complete the table below
Shape | Length | Breadth | Perimeter | Area |
Rectangle | 2km | 11km | ||
Rectangle | 12cm | 36cm^{2} | ||
Square | 25mm | |||
Square | 34m |
- Simplify the following
(a) (-2) x (+12) (b) (-6) x (-10) (c) 36
– 6 – 4 (-2) x (-9) (d) (-3) x (-15) (e) 4 x (-3)
9 – 24
- A trader buys a kettle for N880 and sells it at a profit of 15%. Find his actual profit and the selling price.
(5b) A hat is bought for N250 and sold for N220. What is the loss percent?
- Simplify the following
(a) X + 3 + 4x – 2) (b) 7a – 3 – 3a + 5 (c) 4x + 1 – x – 5
5 5 6 4 3 12
(6b) Solve the following equations
(a) 4m – 2m | = 4 | (b) 3x – 2 | – 2x + 7 = 0 | ||
5 | 3 | 6 | 9 |
- I add 55 to a certain number and then divide the sum by 3. The result is four times the first number. Find the number.
(7b) A car increases its speed steadily over 6 seconds as sown below
Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Speed (km/h) | 0 | 15 | 20 | 45 | 60 | 75 | 90 |
- Use a scale of 2cm represents 1 second on the horizontal axis and 2cm represents 10km/h on the vertical axis. Draw a graph of the information.
- Use your graph to (a) the speed of the car after 2.5s (b) the time taken to reach a speed of 80km/h.
- (i) Calculate the length of the third side of the triangle below
13cm
- Which of the following is a pythogorean triple? (a) (33, 56, 65) (b) (15, 30, 35)
(8b) There are 7 red balls, 8 white balls and 5 blue balls in a box. A ball is selected at random from the box. Find the probability that the ball is
- White, (b) red (c) blue or red (d) neither blue nor white (e) green
MATHEMATICS EXAM QUESTIONS FOR JSS2 SECOND TERM
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