MATHEMATICS EXAM QUESTIONS FOR JSS3 FIRST TERM

JSS3 FIRST TERM MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

      FIRST TERM EXAMINATION

Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.

SUBJECT: MATHEMATICS                           CLASS: JSS 3

Instruction: In section A (Objective) attempt all questions while in section B (Theory) attempt No 1  & any other 3 (Three) questions.

SECTION A

(OBJECTIVE)

1. Express 38 as a number in base two. (a) 100111₂ (b) 100101₂ (c) 100110₂  (d) 01110111₂.
2. Simplify   .     (a) 400 (b) 40 (c) 0.04 (d) 4000
3. Solve the equation   =  .  (a)    (b)     (c)  (d) .
4. Five tins of milk cost N250 and 15 tins of milk cost N750. Find the cost of 25 tins of milk. (a) N1750 (b) N12500 (c) N2500 (d) N1250.
5. If T = q + 273k, find  q if T = 400k  (a)  137   (b) 237    (c) 37    (d) 273
6. Find  the product of -6, 0.7 and 6 ²/₃   (a) 28    (b) 27   (c)  20    (d) -28
7. Which  is the  greatest? 56₇,  55₈, 53₆, 50₉.  (a)  56₇   (b) 53₆  (c) 55₈    (d) 50₉
8. What percentage of the students were girls in a class of 64 students and girls are 36 in number. (a) 57.35% (b) 75.0% (c) 56.25% (d) 25%.
9. Solve the equations:  2x + 30 = 14 and hence find 10x (a) -80 (b) 48 (c) -17 (d) -8.
10. The reciprocal of a certain number is 0.08. Find the certain number. (a) 8.5   (b) 20.5
     (c) 15.2 (d) 12.5.
11. Change 100101₂ to base 10. (a) 37 (b) 73 (c) 36 (d) 40.
12. What number when divided by -50 will give 12? (a) -4 (b) 600 (c) 0.25 (d) -600.
13. If a = , find the value of a when b = 2. (a) -6 (b) -5 (c) 9 (d) 7.
14. Evaluate 23² – 7², using the method of difference of two square. (a) 529 (b) 560 (c) 460
    (d) 480.
15. The reciprocal of 0.75 is? (a)   (b)   (c)    (d)  .
16. if p =  , make r the subject.  (a)  r = ^±  (b) r = ^± 
    (c) r =     ^±  (d) r =    ^± .
17. Calculate the value of    x 157  –    x 87. (a) -46 (b) 65 (c) 56 (d) 194.
18. If A =  (a + b) h, express h in terms of A, a and b.   (a) h =   (b)     (c) h =    (d)  A (a+b).
19. The product of (x + 3) and (x -3) is? (a) x² – 6 (b) x² + 6x – 9      (c) x² + 6         (d) x² – 9.
20. If    =   , find x. (a) 18.5 (b) 24.5 (c) 12 (d) 12.2 (e) 56.
21. The product of the square root of 16 and the square of 9 is? (a) 3240 (b) 324 (c) 1296 (d) 144.
22. Calculate the value of   x    +   x   , using the BODMAS. (a)     (b)   (c)    (d)  .
23. Simplify 5 (p-3q) – 4 (p-2q). (a) 7q + p (b) -9p + 23q (c) p-7q (d) p-23q.
24. Factorize 9a² – 16. (a) (3a + 4) (3a-4) (b) (3a-8) (3a-8) (c) (4-3a) (4+3a)     (d) (3a+4) (3a+4).
25. Factorize completely pq – p – q + 1. (a) (p-q)²  (b) (1-q) (1+p) (c) (q-1) (p-1) (d) (q+1) (p+2q).
26. Which of the following is a factor of 3xw + 3xz + yw + yz? (a) x + 3y (b) w + 3z (c) w + z (d) 3x + 3z. 
27. Find the amount N500.00 will yield for 1year at 6%. (a) N930.00 (b) N530.00 (c) N730.00 (d) N630.00.
28. Factorize the expression 1-16x². (a) (1-8x) (1+2x) (b) (4x-1) (4x+1) (c) (1+4x) (1-4x) (d) (4x-1) (4x-1).
29. Approximate 0.03457 to 1 Significant figure. (a) 0.0 (b) 0.03 (c) 0.0005       (d) 0.004.
30. Calculate 0.09 x 0.78 correct to 3 decimal places. (a) 0.070 (b) 0.071 (c) 0.007 (d) 0.0702.
31. A sequence is given by the formula 3n + 2. What term in the sequence is number 62? 
    (a) 15^th  (b) 30^th  (c) 20^th  (d) 25^th
32. When 30 is added to a number the result is  -18. Find the number?  (a) -38 (b) -20 (c) -48  (d) -60
33. 15cm³ of a metal weighs 127.5g. What is the weight of 35cm³ of the same metal if the mass of the metal is directly proportional to the volume?  (a) 167.3g (b) 297.5g (c) 203.2g
    (d) 132g
34. The reciprocal of a certain number is given as 0.125. Find the number?  (a) 10  (b) 8  (c) 5  (d) 11
35. Correct 78532 to one significant figures (a) 79,000 (b) 78,500 (c) 80,000 (d) 78,000
36. Any number which can be expressed as a ratio of two integers such as a/b if (b ≠ 0)  is called a  …… number (a) prime (b) rational (c) natural (d) composite
    
    

•        
    3cm                5cm      Find the value of x in the figure.   (a) 7cm  (b) 2cm (c) 5cm 

                                           (d) 4cm

1. xcm
2. 48.     It takes 8 men 20 days to harvest a maize farm , how long would it take 32 men if they work at the same rate?  (a) 10 days (b) 18 days   (c) 5 days  (d) 8 days
3. When the sum of 28 and a certain number is divided by 5, the result is equal to treble the original number. What is the number?  (a)  x=2 (b) x= 3 (c) x=4  (d) x =5
4. 50.     Simplify: 4a-(8a-5b)-(-5a+2b)+4     (a)  2a+4b-3  (b)  6a+8b-5  (c) a+3b+4  (d)  4a-5b+6
5. Expand the expression (a-9)2 (a) a2 + 18a + 81 (b) a2 – 18a – 81 (c) a2 + 18a + 8

(d) a2 -18a + 81.

• Expand the expression 5×2 (x – 4). (a) 5×2 – 20×2 (b) 20×2 – 5×3 (c) 5×3 – 20×2 (d) 20×2 + 5×3.
• Make “d” the subject of the formula in S =  n/2 [ 2a + (n-1) d ] (a) d = (s-nt)/t   (b) d = (2(s-nt))/t^2  (c) d = (2(s-an))/(n(n-1))  (d) d = (2s-2nt)/t
• If p = 2 (3q – 8), find q when p = 14. (a) 15 (b) 5 (c) 36 (d) -5.
• If (2a+5)/2a  –  4/5 = 0, find a.        (a) -12.5 (b) -22.5 (c) -15.8 (d) 22.25.
• The reciprocal of 1 2/3 is?     (a) 5/3  (b) 3/5  (c) 3/2  (d) (-3)/5 .
• When 27 is divided by the sum of 6 and a certain number, the result is 3/4 . Find the number. (a) 30 (b) 10.75 (c) 20 (d) 15.
• Solve the equation 15/(3x-1)  = 5.  (a) 6 (b) 1 1/3   (c) 1 3/4  (d) -1.8.
• 1.54545 in 3 decimal places  (a) 1.5 (b) 1.54 (c) 1.545 (d) 1.5454
• Find the square root of 36. (a) ± 6(b) 6 (c) -6 (d) 6.1

THEORY:  Answer four questions. No 1 and any other three.
1a.     The sum of three numbers is 30. The middle number is 5 less than the largest number, while the smallest number is one-third of the largest number. Solve for the three numbers.

b.       Use long division method to solve for 1001101 ÷ 111

2a.     Expand the following.

          (i) (3 – 9x) (5 – 4x)         (ii)   (6x – 5y)²

b.       Make x the subject of the formulae in each of the following.

          (i) y =       (ii)  p =   x²y.

3a.     It takes 20 men 60 days to complete a building work. How many days longer would it take 15 men, assuming that they all work at the same rate?

b.       Multiply: 235₆   by 143₆

4a.     Factorise these expressions (i) x² +20x + 19            (ii).   6x² – 3x – 22

b.       Give  2 examples of each of the  following (i) rational  numbers  (ii) irrational  numbers  (iii) integers

c.       Solve the equations.

          (i)   –     =  0.               (ii)      =    .

4a.     Convert   (a)  0.6666…  (b) 0.583   into rational numbers

b.       classify  with  reason  the following  into  rational  / non rational 

          (i)  0.1259        (iii)   p   (iv) e     (v) 0.121212… (vi)  0       (vii) – 1   (viii)

5a.     Express the following binary members as numbers in base 10.

          (i) 10111_two   (ii) 1101.011two. 

b.       Express the following to bicimals of 4b.p

(i) 19.235₁₀    (b) 125.385₁₀

6a.     If y varies directly as the cube of x and y=125 when x=5, find: (a) formula connecting x and y (b) y when x=2

b.       According to Coulomb’s law of the force F is directly proportional to the product of charges q and Q and inversely proportional to the square of distance R between the two charges. F=40 N, R=16m, q=20 Coulombs and Q= 32 Coulomb. (a) Express F in terms of the charges and distance R (b) Find the value of q when F=50N, R=49m and Q=40 Colombs.

JSS3 FIRST TERM MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

SUBJECT: MATHEMATICS

1. A rope 488.6 metres long is divided into equal pieces of 14 meters long, how many pieces are obtained(a) 345 (b) 306 (c) 201 (d) 349
2. The volume of 1Kg of Liquid is 0.84 litres. What is the volume of 7.6Kg of the same liquid? (a) 6.384 Litres (b) 9.475 Litres (c) 5. 129 litres (d) 10.813 Litres

3. Simplify ⁵/6 X 4²/3 ÷2⁷/9 (a) 2½ (b) 1²/5 (c) ²/7 (d) ⁵/8

4. Find the square root of 3⁶/5 (a) 3.234 (b) 1.24 (c) ⁹/5 (d)⁵/9

• Find the amount of ₦60,000 for 5 years at 9% per annum simple interest (a)

₦60,000 (b) ₦5,400 (c) ₦87,000 (d) ₦33,000

• A radio costs ₦5,400. A 12½ discount is given for cash. What is the cash price? (a) ₦ 4,725 (b) 4,000 (c) 5,250 (d) ₦5,000
• A rectangle is 8 m long and its perimeter is 30m. find the breadth of the rectangle

8. Express 85 as a binary number (a) 1101012 (b) 10101012 (c) 11101102 (d)10111102

9. Simplify -3 +(-3) –(-11) (a) 17 (b) -17 (c) 5 (d) -5

1. Make an equation from this information; if I add 55 to a certain number ‘n’ and then divide the sum by 3, the result is four times the unknown number (a)

n-55=4n (b) n-55=4 (c) 3n-55=4 (d) n-55=4n

3                    3                  3                   3

1. If the bearing of X from Y is 347⁰. Find the bearing of Y from X (a) 176⁰ (b) 013⁰ (c) 167⁰ (d)117⁰

12. Sole the equation 9y = 1²/7 (a) 7 (b) -17 (c) ¹/7 (d) –¹/7

1. The sum of the interior angles of a polygon is 1980⁰. How many sides has the polygon (a) 10 (b) 11 (c) 12 (d) 13
2. What is the co-efficient of ‘y’ in the expansion (6 + y)(3- y) (a) 3 (b) 6 (c) -3 (d) -6

15. A cone has a base radius of 5 cm and a height of 12cm, calculate its total surface area, leaving your answer in terms of π (a)30π (b) 60 π (c) 70π (d) 90π

16. Factorise 16a² – 9b² (a) (4a+ 3b) (4a+3b) (b) (4a + 3b)(4a – 3b) (c) (4a – 3b)² (d) (3a – 4b) ²

1. If p varies inversely as q, p = 12 when q=6, find q, when p=8 9a) 6 (b) 5 (c) 4 (d) 9 The height of 10 students in meters are as follows:

1.1, 1.8, 1.3, 1.1, 1.4, 1.2, 1.1, 1.3, 1.4, 1.2

Use the information above to answer question 18-22

1. Find the median height (a) 1.2 (b) 1.25 (c) 1.3 (d) 1.4

1. 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

• If D=          , Make H the subject of the relation (a) h=        , (b) h=          (c) h=          (d)

h=

• Factorise the expression 6k + 2 – 6kh – 2h (a) 2(3k – 1 ) (1 + h) (b) 2(3k+1)(1-h) (c) 2(3k+1)(1-h)

25. Round off 0.008251 to 2 significant figures (a) 0.82 (b) 0.83 (c) 0.0083 (d) 0.0082

• Solve the equation if 6a + 7 = 3a + 25 (a) 4 (b) 6 (c) 7 (d) 8

• An isosceles triangle has                       number of lines of symmetry 9a) 0 (b) 1 (c) 2 (d) 3

28. Express 4.55 x 10 ^-3in ordinary form (a) 0.00455 (b) 0.0455 (c) 45.5 (d) 455

• The sum of two consecutive even numbers is 34. Find the smaller number (a) 20 (b) 16 (c) 14 (12)
• The bearing of A from P is 243⁰.find the bearing of P from A (a) 153⁰ (b) 117⁰ (c) 063⁰ (d) 047⁰
• Calculate the length of the side of a square whose area is 1089 cm² (a) 21 cm (b) 23 cm (c) 32cm (d) 33 cm
• Write 394 in Roman Numerals (a) CCCIV (b) CCIX (c) CCCICV (d) CCXCIV

• In the figure below, what is the value of x in terms of y

(a) 90⁰ + y⁰ (b) 180⁰ + y⁰ (c) 180⁰ – y⁰ (d) 360⁰ – y⁰

• Calculate the area of the shape in the figure

• 40 cm²

35. Evaluate (tan 45⁰)³ (a) 0 (b) 0.4569 (c) 1 (d) 10.4569

• 50 cm²

• 60 cm²

• 100 cm²

36. Approximate 79.75 to the nearest tenth (a) 79.10 (b) 80 (c) 10 (d) 79.8

37. Express 675 in index form(a) 3² X 5³ (b) 2³ X 3² (c) 3³ X 5² (d) 4² X 3³

• Jide is ‘n’ years old. His twin sisters are two years younger than he is. The sum of their ages in years is (a) 2n – 3 (b) 3n – 4 (c) n – 4 (d) 2n – 4
• What is the place value of 3 in the number 56.438 (a) 3 tens (b) 3 tenths (c) 3 hundredths (d) 3 thousandths
• The following are divisible by 9 except (a) 51,066 (b) 9039 (c) 48681 (d) 77121 SECTION B Answer 10 Questions
• An equilateral triangle ABC has the following side

Find the value of a and x

• Solve graphically the equations 5x + 7y = 12 and 3x-2y = 1 for the values of x

ranging between 0 and 3. Use 2cm = 1 unit on both axis.

• Construct a triangle XYZ such that |XY|= 7.5 cm <XYZ = 30 and <YXZ = 105⁰. Measure : a. |XZ| b. |YZ
• R is partly constant and partly varies with E. when R= 530, E= 1600 and when R= 730, E= 3600 (a) Find the formula which connects R and E (b) Find R when E = 1300

(c) solve a-(7-a) = 5

• The table below shows the mark distribution of twenty student in a mathematics test

Marks(x)	6	7	8	9	11	18	21
No. Of Students	1	2	4	5	3	2	3

Complete the following

• Mean

• Median

• Mode

• The angle of elevation of an aeroplane from an observer is 300. If the aeroplane is 350 m from the horizontal ground, how far is the aeroplane from the observer?

b. simplify the expression -2x-6

3x+9

• The following items were bought from the market by a house wife at the price indicated

Items                                                               Amount(₦)

Beans                                                            1,800.00

Meat	1,200.00
Yam	1,000.00
Rice	2,000.00

Draw a pie chart to represent the information

• Solve the equation 2t+5 = 7

t-2       3

b. D is partly constant and partly varies with V, where V= 40, D= 150, and when V= 54, D= 192

• Find the formula connecting D and V

• Hence, Find D when V= 73

• Solve the equation 2¹/2 = 10 

3p+7

• Convert 11011 in binary to a number in Octal 1+ 1
• Evaluate 3   4

1-1

3 4

• The table below shows the distance and time taken to travel by a car.

DISTANCE(KM)	30	60	90	120	150	180
TIME(HR)	1	2	3	4	5	6

1. Using a scale of 2cm to 30km on the horizontal axis and 2cm to 1hr on

the vertical axis, draw the graph to show the information

• Use you graph to find

1. The time taken to travel 135km

1. The distance covered when the time taken is 5.5 hours

2      4π(h2+k2)

• Make k the subject of the formularT =          hg

• A closed cylindrical tin has a base radius of 7cm and height 12cm. find

1. Its total surface area

1. Its curved surface area

1. Its volume (Taking π= ²²/7)

JSS3 FIRST TERM MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM