SOCIAL STUDIES JSS 1

 

HOLIDAY WORK 

SUBJECT: MATHEMATICS                                CLASS: JSS 3  

SECTION A: OBJECTIVES 

1. The next term in the sequence 2,3,5,8,12,17 is ________. 

A. 18 B. 19 C. 22 D. 23 E. 24 

2. Which of these statements is or are true? a. 1089 is divisible by    b. 1089 is divisible by 9  c. 1089 is a perfect square 

A. a only              B. b only                    C. c only             D. a and b only         E. b and c only 

3. The square root of 121 4 is  

𝐴.11 3        𝐵.31 2        𝐶.33 4        𝐷.61 4        𝐸.61 8 

4. Write 0.00026 in standard form     

𝐴 .  2.63 ×10−6      𝐵. 2.63 ×10−4𝐶.2.63 ×105    𝐷.2.63×10−     E. 2.63×104 

5. What is 0.003867 to 3 significant figures? 

A. 0.004     B. 0.00386  C. 0.00387     D. 386 E. 387 

6. Which of these statements is true? A. all rhombuses are parallelograms                B. all trapeziums are parallelogram       C. all squares are kites           D. all squares are rectangles.              E. all rectangle are trapezium 

7. If (-3) ÷ (-24) = y, then y = ?  A. +72      B. +8     C. -8      𝐷.+1 8        𝐸.+1 2 

8. Simplify −5𝑎2 15𝑎    𝐴.5𝑎 3       𝐵.−2 3         𝐶.−𝑎 3       𝐷.−𝑎 5         𝐸.−2 

9. Find the value of 𝑏 2𝑎+𝑏, when a = 5 and b = -2  

𝐴.−1 3        𝐵.−2 3           𝐶.−1 9          𝐷.1 6       𝐸.1 10 

10. Simplify a +(-a) + b   A. 2a       B. b      C. 2b     D. 2a-b E. 2a+B 

11. Find the least number by which 1 must be multiplied to give a perfect square 

A 2                       B 3                             C 5                        D 7                      E 11 

12. Simplify (𝑦+𝑥)2−2𝑦𝑥 

𝐴 𝑦2+𝑥2+4𝑦𝑥       𝐵 𝑦2−𝑥2𝐶 𝑦2+𝑥2      𝐷 𝑦2+𝑥2−2𝑦𝑥      𝐸 𝑦2+𝑥2−4𝑦𝑥 

13. If m × (-2) = 12, then m =   

A +24                             B +14                         C -6                             D -14                         E +10 

14. If 5 6of a certain number is −62 3, then the number is 

𝐴−1 8        𝐵−51 3        𝐶−55 9      𝐷−7 1 2    E -8 

15. Express 526000 in standard form        

𝐴 5.26×10−5   𝐵 5.26×10−4𝐶 5.26 ×103      𝐷 5.26×104     E 5.26×105 

16. What is the value of 𝑝2𝑞 − 𝑞2𝑝, if p = 3 and q = 1 

A. -12 B. -6 C. 0 D. 6 E. 145° 

17. What is the place value of 4 in 36.0241?  

A. 40       B. 400      C4 10     𝐷.4 100       𝐸.4 1000 

18. In 2010, a watch cost ₦2800 and in 22014, the same watch cost ₦5200. Give the 2010 cost to the 2014 cost as a ration in its lowest forms   

A. 1:2                      B. 7:13                C. 28:52              D. 26:14                E. 199:200 

19. I travelled at 60km/h and took 2hours for a journey. How long would it have taken me, if I had travelled at 50km/h?  

𝐴.11 5ℎ       𝐵.11 3ℎ       𝐶.12 3ℎ𝐷.22 3ℎ      𝐸.22 5 

20. In an examination, 154 out of 175 candidates passed. What percentages failed?  

𝐴.62 7%   𝐵.137 11%   C. 12%   D. 15%   E. 88% 

21. How much interest does ₦4000 make is 5years at 7% per annum?    

A. ₦2000      B. ₦2800      C. ₦700     D. ₦14000      E. ₦3500 

22. Express  2 𝑎   +    7 𝑏 as a single fraction.  

𝐴.2𝑏+7𝑎 𝑎𝑏     𝐵.2𝑏+7𝑎 𝑎+𝑏     𝐶.9𝑎𝑏 𝑎+𝑏    𝐷.9 𝑎𝑏     𝐸.9 𝑎+𝑏 

23. A teacher asks a class to write x + 8 in another way. Three of the answers are i. 1 4(𝑥+8)    ii x + 2           iii.1 4 𝑥+  2 

24. Which of the answers are or is correct? A. i only   B. ii only  C. iii only   D. i and ii only E. none of the above 

25. Simplify 𝑥−2 6   −    𝑥−7 4  𝐴.8−5𝑥 6             𝐵.17−𝑥 12           𝐶.𝑥−17 12𝐷.−(25−𝑥) 6            𝐸.−(25−𝑥) 12 

26. On a scale drawing a straight railway track measures 12.5cm. What is the actual length of the track, if the scale is 1cm to 5km?   

A. 6km     B. 12.5km    C. 25km    D. 62.5km    E. 625km 

27. Evaluate - 2 + 3 – 2 + 3  A. -1 B. -2 C. -3 D. +1 E. +2 

28. Which in Roman numeral 1991 A. MCMXCI B. IIXIXI  C. MCMXIC     D. MIXIXI E. MDCCCCIXI 

29. If 5 people can do a piece of work in 6days, how many days, to the nearest whole number, should 8 people take to do it? Assume that the rate of work done is the same  A. 4 B. 5 C. 7 D. 8 E.9 

30. What percentage of 4 is 5?   A. 125%    B. 25%   C. 120%   D. 20%   E. 80% 

31. A trader gains ₦4000 on a sale which is equivalent to 8 % profit. What is the cost price?  A. ₦320    B. ₦500   C. ₦32000   D. ₦50000   E. ₦54000 

32. Which of these are factors of 4𝑥2𝑦?  i. 2x ii. xy iii. 4y  A. i only     B. ii only   C. iii only    D. none of them     E. all of them 

33. The LCM of 5𝑎𝑏2 𝑎𝑛𝑑 3𝑎2𝑏 𝑖𝑠   

𝐴.15𝑎2𝑏2     𝐵.15𝑎3𝑏3𝐶.3𝑎 5𝑏       𝐷.5𝑏 3𝑎     E. ab 

34. What must be written in the box to make 𝑥 2𝑎     =    6𝑎𝑚  true?    

A. am B. 3m C. 6ax D. 4a E. 3xm 

35. Write your answer in roman numeral      XCIX    +    DXLIV   = ?   

A. CMXLVIII      B. DCXLIII      C. MCXLVIII D. DCCLXIII  E. CCXCLIII 

36. A die is tossed ones. What is the probability of obtaining an even number? 

𝐴.1 2     𝐵.1 6     𝐶.2 5     𝐷.3 5     𝐸.1 4 

37. Find the sum of 0.362, 1.8, 16 and 0.14.   

A. 16                             B. 17                         C. 18                         D. 19                     E. 15 

38. A man is nyears old and his son obinna is 23years younger than him. If obinna’s grandfather is 7 times as obinna, how old is he (grandfather)?   A. (n-161)yearsB. (n-23)years  C. (23-n)years   D. (7n -23)years E. (7n-161)years 

39. What is the value of pie (𝜋) to the nearest tenth? 

A. 3.1   B. 30        C. 0.31 D. 3.14       E. 3.0 

40. If 5   -  2𝑥 3   = 1, x =?   A. 4 B.6 C. 7 D. 9 E.1 

41. A car accelerates from rest at 25m/𝑠2 for 10second. What is the maximum speed attaining by the car? 𝐴.35𝑚𝑠−1 𝐵.15𝑚𝑠−2  𝐶.12.5𝑚𝑠−2  D. 150m/s 

42. If ₦75 is shared in the ratio 1:2:3, what will be the smaller share?  A. ₦35.00   B. ₦25.00    C. ₦5.00    D. ₦3.50 E. 50000 

43. What is the reciprocal of 0.75?   A. 0.075    B. 75     C. 7.5     D. 31 2      E. 11 3 

44. Write 6𝑎2𝑏 in algebraic form     𝐴.2×3×𝑎×𝑎×𝑏     𝐵.    6×𝑎×𝑎×𝑏𝐶 .6𝑎2𝑏      𝐷.2×3𝑎2𝑏      𝐸.2×3×𝑎2×𝑏 

45. Write the coefficient of x in the expansion of (x - 2)(3x - 5)  A. +3 B. +6 C. -1 D. -5 E. -11 

46. Find the size of each angles of a regular pentagon.  

𝐴.87°    𝐵.108°    𝐶.145°    𝐷.180°     𝐸.216° 

47. Write the missing number in the sequence below  1, 2, 3, 4, 4, 6, 7, 8, 11,   

A. 10 B. 12 C. 13 D. 14 E. 15 

48. What is the numerator when 42 /3 is changed to an improper fraction? 

𝐴.3     𝐵.2     𝐶.14    𝐷.14 3     𝐸.2 3 

49. Find the sum of the binary numbers 111 and 11. 

𝐴.10112     𝐵.11002    𝐶.10012     𝐷.10102 

50. If the sum of two angles of a triangle is 134°, what is the value of the third angle? 

𝐴.46°     𝐵.60°     𝐶.72°     𝐷.24°