MATHS EXAM QUESTIONS FOR JSS3 SECOND TERM
JSS3 SECOND TERM MATHS EXAM QUESTIONS – EDUDELIGHT.COM
Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved. SUBJECT: MATHEMATICS
CLASS: J. S. S. 3
TIME: 3hrs
- Frequency means the ………. A. difference between the highest and lowest numbers B. most occurring item C. number in the middle of the set D. number of times an item occurs
- ……… is an example of a cuboid A. sugar B. match box C. Maggi D. funnel
- The next term of the sequence 1, 4, 9, 16, 25… is A. 26 B. 36 C. 46 D. 56
- Which of the following statistical terms is correct? A. mode = mean B. median = average
C. mean = median D. average = mean - Convert 101112 to the number in base ten A. 23 B. 22 C. 21 D. 20
- —- is a circular graph A. pie chart B. bar chart C. histogram D. curve
- A cube has …. Edges A. eight B. six C. ten D. twelve
- Given a set of numbers: 30, 29, 35,40,41,52 and 60. What is the range? A. 30 B. 31 C. 41 D. 51
- Find the arithmetic mean of the set of numbers 1,3,5,7 and 9 A. 9 B. 7 C. 5 D. 3
- If the average age of 6 boys is 14 years, find their total age A. 54 years B. 64 years C. 74 years D. 84 years
- The difference between square of 9 and its square root divide by 2 is … A. 81 B. 78 C. 64 D. 39
- Simplify 700 – (+400) – (-80) A. 380 B. 370 C. 360 D. 350
The table below gives the distribution of the ages (in years) of 30 students in a school club. Use the information to answer question 13 – 16
| Age (years) | 10 | 11 | 12 | 13 | 14 | 15 |
| Frequency | 4 | 12 | 7 | 4 | 2 | 1 |
- Find the mode of the distribution A. 11 years B. 12 years C. 13 years D. 14 years
- Find the median A. 11 years B. 12 years C. 11.5 years D. 12.5 years
- Calculate the mean of the distribution A. 5 years B. 6 years C. 11.7 years D. 11 years
- What is the probability that a student in the club is 11 years A. 0 B. 2/15 C. 8/15 D. 2/5
- The mean of 5 numbers: 8,11,6,3 and x is 7, find x A. 11 B. 8 C. 7 D. 6
- Convert 26 to a number in binary A. 11100two B. 11010two C. 11110two D. 10011two
- ——- is the difference between the highest value and the lowest value A. range B.mode C. median D. arithmetic mean
- Expand: (y-6)2 A. y2 + 12y + 36 B. y2 – 12y – 36 C. y2 + 12y – 36 D. y2 – 12y + 36
- Write 2/7 in words A. two over seven B. two and seven C. two – sevenths D. two – seven
- What is the smallest number to be subtracted from 175 to make it divisible by 13
A. 25 B. 13 C. 10 D. 6
- Simplify: 3/4(x + 4) = 2/3(1/4 – x) A. -8 B. -6 C. -4 D. -2
- Find the coefficient of pq in the expansion of (4p + 3q)(2p – q) A. 4 B. 3 C. 2 D. 1
- Find the product of 1/7 and the sum of 3/5 and 1/2 A. 217/20 B. 27/70 C. 3/10 D. 2/7
- Solve: 0 = 32/3P – 22 A. 11 B. 6 C. 3 D. 2
- Solve for ‘a’ in the equation: a _ 3 = 1
a – 2 1 + a A. 8 B. 4 C. -1 D. -8
- 132four + 123four is …….. A. 221four B. 231four C. 321four D. 311four
- Seven – tenths of an hour is …… A. 42 mins B. 45 mins C. 48 mins D. 50 mins
- How many meters are there in d kilometers? A. 1000d meters B. (d + 1000) meters
C. d meters D. (d – 1000) meters
- If 0.68 is expressed as a fraction in its lowest term, its denominator is …..A. 40 B. 29 C. 25 D. 17
- Subtract 10012 from 11102 and convert your answer to base 10 A. 3 B. 5 C. 7 D. 8
- The mean of these numbers: 8, 11,16,3 and x is 9. The value of x is …… A. 11 B. 8 C. 6 D. 7
- Remove bracket and simplify: p (p + q) – q(p + q) A. p2 + 2q2 B. p2 + q2 C. p2 – 2q2 D. p2 + q2
- A fair die has a …… shape A. triangular B. spherical C. cubical D. conical
- Calculate the mean of the following numbers: 1980,1981, 1982, 1983, 1984
A. 1980 B. 1982 C. 1983 D. 1984
- Multiply (3 + b) by ( 4 + 2b) A. 2b2 + 10b + 7 B. 2b2 + 7b + 10 C. 2b2 + 10b + 12 D. 2b2 + 12b + 10
- Share #3,000 in the ratio 2 : 3 among Tayo and Hamed A. Tayo (1,000); Hamed (1,000)
B. Tayo (500); Hamed (1500) C. Tayo (1,200); Hamed (1,800) D. Tayo (1,200); Hamed (1,200)
reduced to its lowest term is …… A. 9/11 B. 13/15 C. 15/18 D. 26/30
- Solve for x in 3(x + 2) = 2(x + 2) A. 4 B. 2 C. -2 D. -4
- Find the LCM of 6a2, 8a and 4ab A. 24ab B. 24ab2 C. 24a2b D. 24a2b2
- Make h the subject of the formula in V2 = 2gh A. h = V2/ 2gh B. h = V22g C. h = 2g/V2 D. h = g/2
- Make d the subject of formula: V = 3
d A. V/3d B. V/
d C. V/3
D. V/3
d
- A boy scored 35% in English, 60% in social studies, 58% in mathematics and 73% in basic science.
Calculate his mean score A. 56.5% B. 46.5% C. 36.5% D. 26.5%
- Expand: (p + 6)(p – 3) A. p2 – 3p – 18 B. p2 + 3p – 18 C. p2 + 3p + 18 D. p2 – 6p – 18
- Solve MMXXVII – MCMXCII A. LV B. XLV C. XXXV D. XXV
- The average attendance at school for 5 days was 264. The attendances on 4 for those days were…….
A. 264 B. 274 C. 284 D. 294
- The angles of a quadrilateral are in ratio 6:7:8:9. The largest angle will be ………
A. 300 B. 720 C. 840 D. 1080
- Find the missing number, if the addition below is in base nine: 2 4 0
x x x
8 0 1
1 5 2 3nine A. 462 B. 472 C. 373 D. 272
- Evaluate : 0.22 x 9
0.32 A. 4 B. 6 C. 12 D. 3
- Which of the following is not a factor of 72? A. 72 B. 36 C. 24 D. 18 E. 15
- Find the value of x in the figure below
- 50o B. 55o C. 45o D. 75o E. 40o
- The diagonals of a rhombus are 16cm and 12cm long. Calculate the length of its side. A. 6cm
B.8cm C. 10cm D. 12cm E. 14cm
- What percentage of 4m is 20cm? A. 2.5 B. 5 C. 20 D. 30 E. 50
- If 63/4 is expressed as an improper fraction, its numerator will be
- 3 B. 4 C. 6 D. 24 E. 27
- Two angles are said to be complementary if their sum is A. 600 B. 900 C. 1800 D. 2700 E. 3600
- A tricycle travels 180km in 4 hours. What is its speed in km/h? A. 45 B. 84 C. 178 D. 720 E. 1800
- The area of a triangle is 54cm2. If the height of the triangle is 6cm, find its base. A. 9cm B. 12cm
C. 21cm D. 18cm E. 27cm
- Convert 1010two to base 10 A. 4 B. 6 C. 8 D. 10 E. 12
- What is the missing number if the following addition is in base two? x x x x x
1 1 1
1 0 0 1 0 1
- 11111 B. 11110 C. 10110 D. 10101 E. 10011
- The area of a rhombus is 24cm2. If one of its diagonals is 6cm, find the length of the other diagonal. A. 2cm
B. 4cm C. 8cm D. 10cm E. 18cm
- A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%? A. #7,600
B.#8,400 C. #9,600 D. #12,600
- Express 5613ten in base 8 A. 17255 B. 15527 C. 12755 D. 10752 E. 10101
64. In a right-angled triangle, the side opposite the right angle is known as A. equilateral B. hypotenuse
C. obtuse D. parallel E. scalene
65. Express 1101two in denary. A. 50 B. 27 C. 20 D. 13
66. If the area of the plane shape below is 36cm2, find its height.
h
12cm
A. 3cm B. 4cm C. 5cm D. 6cm E. 9cm
67. A pencil costs #10 while a dozen costs #100. How much Mrs. Musa would saves if she buys ninety-six pencils at dozen prices? A. #150 B. #160 C. #180 D. #200 E. #250
68. Find the area of a circle of diameter 14cm. () A. 44cm2 B. 154cm2 C. 308cm2 D. 616cm2
69. If the first common multiple of two numbers is 6, find the fourth common multiple. A. 6 B. 18 C. 24
D. 30 E. 36
70. Find the perimeter of a regular hexagon with side 5cm. A. 20cm B. 26cm C. 30cm D. 36cm
71. A dealer was paid 5% commission on all the recharge cards he sold. If he sold #50,000 worth of cards, how much commission did he get? A. #1,000 B. #1,500 C. #2,500 D. #5,0000
72. In the figure below, angle SAB is alternate to angle ….
A. 180o B. 35o C. 75o D. 105o E. 42o
73. Express 0.000724 in standard form. A. 7.24 x 10-2 B. 7.24 x 10-3 C. 7.24 x 10-4 D. 7.24 x 10-5
- Which of the following is not true? A. rectangles are parallelograms B. Rhombuses are parallelogram
C. Rhombuses are squares D. Squares are rectangles E. Squares are rhombuses - The price of a television set is reduced from #20,000 to #16,000. Find the percentage discount. A. 5 B. 10
C. 20 D. 30 D. 50
76. How many vertices does a cube have? A. 6 B. 8 C. 10 D. 12 E. 16
77. Evaluate A. 1
B. 1
C.
D.
E.
78. What is the square root of ? A.
B.
C.
D.
E.
79. What is the square of the HCF of 60 and 108? A. 12 B. 30 C. 36 D. 120 E. 144
80. A basket contains 40 mangoes, out of which 22 are good. Find the percentage of the mangoes that are bad.
A. 18 B. 22 C. 24 D. 45 E. 60
81.What percentage of 4m is 20cm? A. 2.5 B. 5 C. 20 D. 30 E. 50
82.If 63/4 is expressed as an improper fraction, its numerator will be A. 3 B. 4 C. 6 D. 24 E. 27
83.A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%? A. #7,600 B. #8,400 C. #9,600 D. #12,600
- Which of the following is not a factor of 72? A. 72 B. 36 C. 24 D. 18 E. 15
What percentage of 4m is 20cm? A. 2.5 B. 5 C. 20 D. 30 E. 50
85.If 63/4 is expressed as an improper fraction, its numerator will be A. 3 B. 4 C. 6 D. 24 E. 27
- A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%? A. #7,600 B. #8,400 C. #9,600 D. #12,600
- A pencil cost #10 while a dozen costs #100. How much Mrs. Musa would saves if she buys ninety-six pencils at dozen prices? A. #150 B. #160 C. #180 D. #200 E. #250
- Find the area of a circle of diameter 14cm. (
) A. 44cm2 B. 154cm2 C. 308cm2 D. 616cm2
- If the first common multiple of two numbers is 6, find the fourth common multiple. A. 6 B. 18 C. 24 D. 30 E. 36
- A dealer was paid 5% commission on all the recharge cards he sold. If he sold #50,000 worth of cards, how much commission did he get? A. #1,000 B. #1,500 C. #2,500 D. #5,0000
- Find the value of the angle marked x
A. 60o B. 45o C. 175o D. 18o E. 15o
- Express 0.000724 in standard form. A. 7.24 x 10-2 B. 7.24 x 10-3 C. 7.24 x 10-4 D. 7.24 x 10-5
- Which of the following is not true? A. rectangles are parallelograms B. Rhombuses are parallelogram
C. Rhombuses are squares D. Squares are rectangles E. Squares are rhombuses - The price of a television set is reduced from #20,000 to #16,000. Find the percentage discount. A. 5 B. 10
C. 20 D. 30 D. 50 - How many vertices does a cube have? A. 6 B. 8 C. 10 D. 12 E. 16
- Evaluate
A. 1
B. 1
C.
D.
E.
- What is the square root of
? A.
B.
C.
D.
E.
- What is the square of the HCF of 60 and 108? A. 12 B. 30 C. 36 D. 120 E. 144
- A basket contains 40 mangoes, out of which 22 are good. Find the percentage of the mangoes that are bad.
A. 18 B. 22 C. 24 D. 45 E. 60 - Simplify
and leave your answer in ordinary form. A. 3000 B. 1000 C. 2000 D. 30000 E. 4000
JSS3 SECOND TERM MATHS EXAM QUESTIONS – EDUDELIGHT.COM
THEORY: Instructions: Answer five questions. No 1 and 2 are compulsory
- Solve the simultaneous equation
5x-2y = 11 …(1)
4x-3y = 6 …(2)
Using: (a)Substitution method (b)Elimination method (c)Graphical method
| Age (years) | 12 | 13 | 14 | 15 | 16 |
| No. of students | 4 | 6 | 4 | 4 | 2 |
- Calculate the mean age
- Find the median
- Obtain the mode
- (a) Find the area of the plane shape below
10cm
13cm
15cm
(b) find the sum of the length and the breadth of a rectangle whose length is twice the breadth and area equal
to 72cm2
(c) A cylindrical tank of storing oil has a capacity of 1078m3. If its height and its radius are equal, calculate the depth of oil in the tank when full. (Take = 22/7)
4. (a) calculate the angle of elevation of a man 6m away from the base of a tree 8m tall.
(b) The table below is the colour of cars used in a particular school.
- How many cars are in the school?
- Draw a bar chart to represent the data.
- Identify the popular colour
- The statistical name for the popular colour is called.
- Find the probability of selecting the popular colour.
- The volume of a given mass M varies directly as its temperature and inversely as its pressure. If the volume is 30cm3 when its temperature is 10k and pressure 40mmHg, calculate:
- The constant of proportionality
- The formula connecting them
- The pressure when the volume is 50cm3and temperature 2k.
5b) Find the value of y in the figure
6a) D is partly constant and partly varies with V. When V = 40, D =150 and when V = 54, D = 192.
(i) Find the formula connecting D and V.
(ii) Find D when V = 73.
b) I added 18 to 3 times a number, the result is equal to 5 times the number. What is the number ?
c) Solve the equation:
X – 4 – 2 = -X
5 2
(7 ) Show that triangles ABC and XYZ are similar and hence find sides AB & XZ
JSS3 SECOND TERM MATHS EXAM 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 100
(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 109 divided by 4 x 106
(A) 809/406 (B) 4 x 1015 (C) 4 x 103 (D) 2 x 103
(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) 1200 (B) 1480 (C) 1620 (D) 1800
- 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 1089cm2
(A) 21cm (B) 23cm (C) 32cm (D) 33cm
- Express 72 as the product of its factors. Leaving your answer in index form. (A) 22 x 33 (B) 23 x 32 (c) 24 x 32 (d) 22 x 33
- Find the square root of 42¼
(A) 6 ½ (B) 8 ½ (C) 3 ¼ (D) 7 ¼
- The value of 62 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, 14b2 and 18ab
(A) 14ab2 (B) 630ab2 (C) 360ab2 (d) 180ab2
- 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) 280 (B) 410 (C) 680 (D) 340 SECTION B
Answer seven questions
- Simplify the following
(i) X5 x X-2 (ii) m0 x n0 (iii) b3 – b0 (iv) 2a-1 x 3a2 (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 | 36cm2 | ||
| 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
I love it but I need an oral class
pls can we have an online exam