JSS 3 MATHEMATICS FIRST TERM EXAMINATION

      FIRST

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)

• Express 38 as a number in base two. (a) 1001112 (b) 1001012 (c) 1001102  (d) 011101112.

• Simplify   16 x 102.     (a) 400 (b) 40 (c) 0.04 (d) 4000

• Solve the equation 6y-2  =  32y-3.  (a) 43   (b)  54   (c) -34 (d) 34.

• 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.

• If T = θ + 273k, find  θ if T = 400k  (a)  137   (b) 237    (c) 37    (d) 273

1. Find  the product of -6, 0.7 and 6 2/3   (a) 28    (b) 27   (c)  20    (d) -28
2. Which  is the  greatest? 567,  558, 536, 509.  (a)  567   (b) 536  (c) 558    (d) 509
3. 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%.
4. Solve the equations:  2x + 30 = 14 and hence find 10x (a) -80 (b) 48 (c) -17 (d) -8. 
5. 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.
6. Change 1001012 to base 10. (a) 37 (b) 73 (c) 36 (d) 40.
7. What number when divided by -50 will give 12? (a) -4 (b) 600 (c) 0.25 (d) -600. 
8. If a = 5b+8b-5, find the value of a when b = 2. (a) -6 (b) -5 (c) 9 (d) 7.
9. Evaluate 232 – 72, using the method of difference of two square. (a) 529 (b) 560 (c) 460
   (d) 480.
10. The reciprocal of 0.75 is? (a) 43  (b) 13  (c)  34  (d) 23 .
11. if p =  q2+r2, make r the subject.  (a)  r = ±q2+p  (b) r = ±q2+p2 
    (c) r =     ± q2–p2  (d) r =    ± q2–p2 .
12. Calculate the value of  45  x 157  –   45 x 87. (a) -46 (b) 65 (c) 56 (d) 194.
13. If A = 12 (a + b) h, express h in terms of A, a and b.   (a) h = A2(a+b)  (b) 2Aa+b    (c) h =  A2a+b  (d) 12 A (a+b).
14. The product of (x + 3) and (x -3) is? (a) x2 – 6 (b) x2 + 6x – 9      (c) x2 + 6         (d) x2 – 9. 
15. If 2212x   =   7124, find x. (a) 18.5 (b) 24.5 (c) 12 (d) 12.2 (e) 56.
16. The product of the square root of 16 and the square of 9 is? (a) 3240 (b) 324 (c) 1296 (d) 144.
17. Calculate the value of 212  x  125  + 212  x  114 , using the BODMAS. (a) 712    (b) 658  (c)  425  (d)  534.
18. Simplify 5 (p-3q) – 4 (p-2q). (a) 7q + p (b) -9p + 23q (c) p-7q (d) p-23q.
19. Factorize 9a2 – 16. (a) (3a + 4) (3a-4) (b) (3a-8) (3a-8) (c) (4-3a) (4+3a)     (d) (3a+4) (3a+4).
20. 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).
21. Which of the following is a factor of 3xw + 3xz + yw + yz? (a) x + 3y (b) w + 3z (c) w + z (d) 3x + 3z.  
22. Find the amount N500.00 will yield for 1year at 6%. (a) N930.00 (b) N530.00 (c) N730.00 (d) N630.00.
23. 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).
24. Approximate 0.03457 to 1 Significant figure. (a) 0.0 (b) 0.03 (c) 0.0005       (d) 0.004.
25. Calculate 0.09 x 0.78 correct to 3 decimal places. (a) 0.070 (b) 0.071 (c) 0.007 (d) 0.0702.
26. A sequence is given by the formula 3n + 2. What term in the sequence is number 62? 
    (a) 15th  (b) 30th  (c) 20th  (d) 25th
27. When 30 is added to a number the result is  -18. Find the number?  (a) -38 (b) -20 (c) -48  (d) -60
28. 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
29. The reciprocal of a certain number is given as 0.125. Find the number?  (a) 10  (b) 8  (c) 5  (d) 11
30. Correct 78532 to one significant figures (a) 79,000 (b) 78,500 (c) 80,000 (d) 78,000
31. 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

1.        
     3cm                5cm      Find the value of x in the figure.   (a) 7cm  (b) 2cm (c) 5cm  

                                           (d) 4cm

1. xcm

1. 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
2. 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
3. 50.    Simplify: 4a-(8a-5b)-(-5a+2b)+4     (a)  2a+4b-3  (b)  6a+8b-5  (c) a+3b+4  (d)  4a-5b+6 

• 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.

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

2a.    Expand the following. 

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

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

    (i) y = 4x-15      (ii)  p =  12 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?

1. Multiply: 2356   by 1436

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

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

    (i) 42y-3  –  35   =  0.               (ii)     314 =   122(q+2) .

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

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

        (i)  0.1259   (ii) 2       (iii)   π   (iv) e     (v) 0.121212… (vi)  0       (vii) – 1   (viii) √11

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

    (i) 10111two   (ii) 1101.011two.  

1. 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

1. 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.