MID TERM TEST FIRST TERM JSS 2 MATHEMATICS

FIRST MID TERM ASSESSMENT FOR JSS 2

1. Simplify X8 /X3
2. Simplify X8 * X4 
3. Write 52000 in standard form  
4. Write o.ooo21 in standard form 
5. Find the square root of 144 
6. Simplify 18 ÷110x 15
7. Simplify (a5 x a10  ) 
8. A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement 
9. Simplify 429 – 213
10. Round off o.0007865 to 1dp 
11. Simplify 8 x 104 x 10            
12. Change the following from standard form to ordinary form 6.3 x 102
13. Express 0.11 in standard form 
14. Give the positive square root of 24-8
15. Find the square root of 614
16. Find the smallest number by which 60 must be multiplied to get a square number 
17. 36 is a perfect square
18. Evaluate ( 5×2–10)2 (a) 0 (b) 1 (c) 100 (d) 10
19. Round off 32 to nearest 10 
20. Round off 2.34 to the nearest tenth 
21. Round off 0.0784 to the nearest hundredth 
22. Round 4235 to one significant figure 
23. Express 18 as a percentage 
24. What is 10% of 200 eggs  
25. State any five laws of indices
26. Evaluate: 

(i) 2n x 2-n                               (iii) 3a4 x 2a2

(ii) 35 x 32 ÷ 3-7            (iv) (a-1)(a-1)

(v) (2 x 104 ) ÷ (2 x 102)

28. s Find the square root of the following

(i) 89-25           (ii) 101-36-1               (iii) √4936

(iv) √61925                 (v) √6400

29. . A farmer found 72 out of 2400 eggs bad. What percentage of eggs are bad?
30. What percentage of of the 114 hours is 45minutes? 
31. express 0.425 as percentage 

. A cloth which cost #12000 was sold for #15000. Find the percentage increase

1. The price of a mobile phone was reduced from 314200 to #13800 to encourage customers to buy it. Find the percentage decrease.                                                             `

Marking Guide

1. Simplify X^8 / X^3
   Answer: X^5
2. Simplify X^8 * X^4
   Answer: X^12
3. Write 52000 in standard form
   Answer: 5.2 x 10^4
4. Write 0.00021 in standard form
   Answer: 2.1 x 10^-4
5. Find the square root of 144
   Answer: 12
6. Simplify 18 ÷ 110 x 15
   Answer: 2.7273 (or 30/11 in fraction form)
7. Simplify (a^5 * a^10)
   Answer: a^15
8. A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement
   Answer: Percentage error = [(1.80 – 1.75) / 1.75] x 100% = 2.86%
9. Simplify 429 – 213
   Answer: 216
10. Round off 0.0007865 to 1 decimal place
    Answer: 0.0
11. Simplify 8 x 10^4 x 10
    Answer: 8 x 10^5
12. Change 6.3 x 10^2 from standard form to ordinary form
    Answer: 630
13. Express 0.11 in standard form
    Answer: 1.1 x 10^-1
14. Give the positive square root of 24-8
    Answer: √16 = 4
15. Find the square root of 614
    Answer: Approximately 24.75
16. Find the smallest number by which 60 must be multiplied to get a square number
    Answer: 15
17. 36 is a perfect square
    Answer: True
18. Evaluate (5x^2 – 10)^2
    Answer: (b) 1
19. Round off 32 to the nearest 10
    Answer: 30
20. Round off 2.34 to the nearest tenth
    Answer: 2.3
21. Round off 0.0784 to the nearest hundredth
    Answer: 0.08
22. Round 4235 to one significant figure
    Answer: 4000
23. Express 18 as a percentage
    Answer: 1800%
24. What is 10% of 200 eggs
    Answer: 20 eggs
25. State any five laws of indices
    • Product Law: a^m * a^n = a^(m + n)
    • Quotient Law: a^m / a^n = a^(m – n)
    • Power Law: (a^m)^n = a^(m * n)
    • Zero Exponent Law: a^0 = 1 (for a ≠ 0)
    • Negative Exponent Law: a^(-n) = 1 / a^n (for a ≠ 0)
26. Evaluate: (i) 2^n * 2^(-n) = 2^(n – n) = 2^0 = 1 (ii) 3^5 * 3^2 / 3^(-7) = 3^(5 + 2 + 7) = 3^14 (iii) (a^(-1))(a^(-1)) = a^(-1 – 1) = a^(-2) (iv) (a^(-1))(a^(-1)) = a^(-1 – 1) = a^(-2) (v) (2 x 10^4) / (2 x 10^2) = (2/2) x 10^(4 – 2) = 10^2 = 100
27. Find the square root of the following: (i) √89 = Approximately 9.43 (ii) √(101 – 36 – 1) = √64 = 8 (iii) √4936 = Approximately 70.28 (iv) √61925 = Approximately 248.85 (v) √6400 = 80
28. A farmer found 72 out of 2400 eggs bad. What percentage of eggs are bad?
    Answer: (72 / 2400) x 100% = 3% of eggs are bad.
29. What percentage of the 114 hours is 45 minutes?
    Answer: (45 minutes / 60 minutes) x 100% = 75% of an hour.
30. Express 0.425 as a percentage
    Answer: 42.5%
31. A cloth which cost #12,000 was sold for #15,000. Find the percentage increase
    Answer: [(15,000 – 12,000) / 12,000] x 100% = 25% increase.
32. The price of a mobile phone was reduced from #14,200 to #13,800 to encourage customers to buy it. Find the percentage decrease.
    Answer: [(14,200 – 13,800) / 14,200] x 100% = 2.82% decrease.

First Term Lesson Notes JSS 1, JSS 2 AND JSS 3

First Term Lesson Notes SS 1, SS 2 AND SS 3