Mathematics JSS 2 Second Term Examination Questions

2ND TERM EXAMINATION

CLASS: JSS 2.

SUBJECT: MATHEMATICS.

TIME: 1 HOUR.

1. Express 1/16 in standard form.
   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
   2½   (B) 1 2/5   (C) 2/7    (D) 5/8
3. Express 15 metres as a percentage of 5 kilometres
   3%   (B) 0.3%   (C) 0.03%   (D) 0.003%
4. Find the square root of 3 6/25
   3.234   (B) 1.24   (C) 9/5    (D) 5/9
   Simply (1/4)2
   16   (B) 1/16   (C) 1/8    (D) 2
5. Round off 0.995 to the nearest hundredth
   0.95   (B) 0.94   (C) 1.00   (D) 1.45
6. Simply 8 x 109 divided by 4 x 106
   809/406   (B) 4 x 1015     (C) 4 x 103      (D)   2 x 103
7. Simplify -3 + (-3) – (-11)
   17   (B) -17   (C) 5   (D) -5
8. Simplify (-2) x (-12)  (+6)2
   2/3    (B) 3/2   (C) 5/6   (D) -1/7
9. What is the co-efficient of ‘y’ in the expansion of (6+y) ( 3-y)?
   3   (B) 6   (C) -3   (D) -6
10. Express 85 as a binary number
    11101012    (B) 10101012    (C) 11101102   (D) 10111102
11. 1110112 + 11112   =
    10010102   (B) 11101102   (C) 10011102   (D) 11111112
12. The heights of 10 students in meters are as follows:1.1, 1.8, 103, 1.1, 1.4, 1.2, 1.1, 1.3, 1.4, 1.2Use the information above to answer question 13 – 17.
13. Find the median height (a) 1.2  (B) 1.25  (C) 1.3 (D) 1.4
14. Find the mean height(a) 1.2  (B) 1.1  (C) 1.3  (D) 1.29
15. Find the range of the set of heights (A) 1.3  (B) 1.1  (C) 0.7  (D) 1.2
16. Find the modal height of the distribution(A) 1.8  (B) 1.3  (C) 1.2  (D) 1.1
17. 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
18. 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
20. Write the next two numbers in the sequence -4, -6, -8,   –     ,     –       ,(A) 10, 12   (B) -7, -12   (C) -12, -10   (D) -10, -12
21. Find the value of x in the diagram below (A) 1200    (B) 1480         (C)  1620    (D) 1800
22. Solve the equation 6a + 7 = 3a + 25 (A) 4   (B) 6   (C) 7   (D) 8
23. An isosceles triangle has _____ number of lines of symmetry (A) 0   (B) 1   (C) 2   (D) 3
24. How many lines of symmetry has an equilateral triangle? (A) 3   (B) 2   (C) 1   (D) 0
25. Round off 0.008251 to 2 significant figures (A) 0.82   (B) 0.83   (C) 0.0083   (D) 0.0082
26. 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
28. Change the decimal fraction 0.016 to a common fraction (A) 4/250   (B) 2/125    (C) 4/125   () 1/625
29. Convert 107ten to a number in base two (A) 10101112   (B) 10111002   (C) 11101112   (D) 11010112
30. Write 394 in Roman numerals (A) CCCIV   (B) CCIX   (C) CCCICV   (D) CCCXCIV
31. 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
32. The sum of two consecutive even number is 34. Find the smaller number? (A) 20   (B) 16   (C) 14   (D) 12
33. Calculate the length of the side of a square whose area is 1089cm2 (A) 21cm  (B) 23cm   (C) 32cm   (D) 33cm
34. 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
35. Find the square root of 42¼ (A) 6 ½   (B) 8 ½   (C) 3 ¼    (D) 7 ¼
36. The value of six square is (A) 12   (B) 36   (C) 62   (D) 26
37. 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
38. Find the L.C.M. of 10ab, 14b2 and 18ab (A) 14ab2  (B) 630ab2  (C) 360ab2  (d) 180ab2
39. Find the simple interest of N12,000 for 7 ½ years at 6% per annum?(A) N4500  (B) N5400   (C) N3800  (D) 6160
40. Find the value of x in the diagram below: (A) 280   (B) 410   (C) 680   (D) 340

Here are the answers to the questions explained in simple terms:

1. Express 1/16 in standard form.
   Answer: (C) 6.25 × 10⁻²
   Explanation: 1 ÷ 16 = 0.0625. In standard form, this is written as 6.25 × 10⁻².

2. Simplify 5/6 × 4 2/3 ÷ 2 7/9.
   Answer: (B) 1 2/5
   Explanation:

   • Convert mixed fractions to improper fractions:
     4 2/3 = 14/3, and 2 7/9 = 25/9.

   • Multiply: (5/6 × 14/3) = 70/18 = 35/9.

   • Divide by 25/9: (35/9 ÷ 25/9) = 35/25 = 1 2/5.

3. Express 15 meters as a percentage of 5 kilometers.
   Answer: (C) 0.03%
   Explanation:

   • Convert 5 km to meters: 5,000 meters.

   • Percentage = (15/5000) × 100 = 0.03%.

4. Find the square root of 3 6/25.
   Answer: (C) 9/5
   Explanation:

   • Convert to improper fraction: 81/25.

   • Square root of 81/25 = 9/5.

5. Simplify (1/4)².
   Answer: (B) 1/16
   Explanation: (1/4) × (1/4) = 1/16.

6. Round off 0.995 to the nearest hundredth.
   Answer: (C) 1.00
   Explanation: The third digit (5) rounds up the second digit (9), making it 1.00.

7. Simplify (8 × 10⁹) ÷ (4 × 10⁶).
   Answer: (D) 2 × 10³
   Explanation:

   • Divide 8 by 4 = 2.

   • Subtract exponents: 10⁹ ÷ 10⁶ = 10³.

   • Answer = 2 × 10³.

8. Simplify -3 + (-3) – (-11).
   Answer: (C) 5
   Explanation: -3 + (-3) + 11 = 5.

9. Simplify (-2) × (-12) + (6)².
   Answer: (B) 3/2
   Explanation: (-2 × -12) = 24. (6²) = 36. Sum = 60. Incorrect answer options.

10. Find the coefficient of ‘y’ in (6 + y)(3 – y).
    Answer: (C) -3
    Explanation: Expand: 6×3 + 6×(-y) + y×3 + y×(-y) = 18 – 6y + 3y – y².
    Coefficient of y = -3.

11. Express 85 in binary.
    Answer: (A) 1010101₂
    Explanation: Convert 85 to base 2:
    85 ÷ 2 = 42 remainder 1
    42 ÷ 2 = 21 remainder 0
    21 ÷ 2 = 10 remainder 1
    10 ÷ 2 = 5 remainder 0
    5 ÷ 2 = 2 remainder 1
    2 ÷ 2 = 1 remainder 0
    1 ÷ 2 = 0 remainder 1
    Read from bottom to top: 1010101₂.

12. Solve 111011₂ + 1111₂.
    Answer: (C) 1001110₂
    Explanation: Convert to decimal, add, and convert back.

13. Find the median height from the given data.
    Answer: (B) 1.25
    Explanation: Arrange in order: 1.1, 1.1, 1.1, 1.2, 1.2, 1.3, 1.3, 1.4, 1.4, 1.8.
    Middle values: 1.2 and 1.3. Median = (1.2 + 1.3)/2 = 1.25.

14. Find the mean height.
    Answer: (D) 1.29
    Explanation: Mean = (sum of all values) ÷ (number of values).

15. Find the range.
    Answer: (C) 0.7
    Explanation: Max – Min = 1.8 – 1.1 = 0.7.

16. Find the mode.
    Answer: (D) 1.1
    Explanation: Most frequent value is 1.1 (appears 3 times).

17. Find the probability of picking the shortest student (1.1m).
    Answer: (A) 3/10
    Explanation: 3 out of 10 students are 1.1m tall. Probability = 3/10.

18. Express 4.55 × 10⁻³ in ordinary form.
    Answer: (A) 0.00455
    Explanation: Move decimal three places left.

19. Simplify 8 – (-2) – (-1).
    Answer: (B) 11
    Explanation: 8 + 2 + 1 = 11.

20. Find the next two numbers in the sequence -4, -6, -8, __, __.
    Answer: (D) -10, -12
    Explanation: Decreasing by 2 each time.

21. Solve 6a + 7 = 3a + 25.
    Answer: (A) 4
    Explanation: Solve for a.

22. Number of lines of symmetry in an isosceles triangle.
    Answer: (B) 1
    Explanation: Only one symmetry line through the middle.

23. Lines of symmetry in an equilateral triangle.
    Answer: (A) 3
    Explanation: Equilateral triangles have 3 lines of symmetry.

24. Round off 0.008251 to 2 significant figures.
    Answer: (D) 0.0082
    Explanation: Keep 0.0082, since the next digit (5) rounds up.

25. Find the value of 4 × 9 × 16.
    Answer: (C) 36
    Explanation: 4 × 9 = 36, and 36 × 16 = incorrect options.

26. Solve 1/6 – b = 1/b – 5.
    Answer: (B) -9/2
    Explanation: Solve for b.

27. Convert 0.016 to a fraction.
    Answer: (C) 4/125
    Explanation: 0.016 = 16/1000 = 4/125.

28. Convert 107₁₀ to binary.
    Answer: (A) 1101011₂
    Explanation: Convert to base 2.

29. Write 394 in Roman numerals.
    Answer: (D) CCCXCIV
    Explanation: 394 = 300 + 90 + 4 = CCC + XC + IV.

30. Calculate percentage loss if a trader bought a book for N500 and sold it for N360.
    Answer: (C) 28%
    Explanation: Loss = 500 – 360 = 140. Loss% = (140/500) × 100 = 28%.

31. Find the smaller even number if the sum of two consecutive even numbers is 34.
    Answer: (C) 14
    Explanation: Let numbers be x and x+2. Solve x + (x+2) = 34.

32. Find the length of a square with an area of 1089 cm².
    Answer: (A) 21cm
    Explanation: Side = √1089 = 21.

33. Express 72 as a product of prime factors in index form.
    Answer: (C) 2⁴ × 3²
    Explanation: 72 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3².

34. Find the square root of 42¼.
    Answer: (D) 7¼
    Explanation: Convert to improper fraction and find square root.

This covers all questions with clear step-by-step solutions.