Mathematics Third Term Examination Questions 2019/2020 Session – Junior Secondary School One (JSS 1)

EDUDELIGHT GROUP OF SCHOOL

1 BENSON AVENUE, LEKKI PHASE 1, LAGOS

         Third Term Examination 2018/2019 Academic Session

CLASS: J.S.S.1 SUBJECT: MATHEMATICS   TIME: 2 HOURS

OBJECTIVES

1. Express 0.65 as a fraction.(a)   (b) (c)    (d) 
2. Write in figures: Seven hundred and eighty-nine thousand, four hundred and fifty-two naira, sixty – three kobo. (a) 789,254.63 (b) 789,452.36 (c) 789,452.63 (d)798,452.63
3. Find the HCF of 54, 36 and 72 (a) 6 (b) 18 (c) 12 (d) 9
4. Find the difference between the actual and the estimated values of 55-21 (a) 40 (b) 34 (c) 30 (d) 4
5. What will be the base of a triangle, if the area is 50cm² and height is 5cm? (a) 20cm (b) 10cm (c)25cm (d) 30cm
6. Find the HCF of 9x² and 27xy² (a) 9xy (b) 3xy (c) 3x (d) 9x
7. Simplify 9²-4² (a) 81 (b) 65 (c) 16 (d) 9
8. Simplify 3(m-2n) -4(m-5n) (a)7m + 14n (b) 7m -26n (c) –m + 14n (d) –13m + 20n
9. Find the LCM of 7xy and 6y²(a) y (b) 7xy (c) 42x²y²(d) 42xy²

      10 Solve 16 – m = 8 (a) 2 (b) 4 (c) 6 (d) 8

      11.Find the median of goals scored in a football tournament   

           2,3,2,3,4,1,2 9(a)1 (b) 3 (c) 4 (d) 2

      12.If 20 is the mean of 18, 23, x, 22 and 20, find x (a) 16 (b) 17 (c) 18  

          (d) 20

     13. Simplify 36t 4t (a) 7t (b) 8t (c) 15t (d) 35t + 2

     14. The scores of students in a test are given as 34, 31,75, 49, 36, 48

           and 57. Find the range of the scores (a) 31 (b) 44 (c) 48 (d) 75

     15. Find the perimeter of a parallelogram whose base is 6cm and  

            side 5cm (a) 60cm (b) 20cm (c) 30cm (d) 22cm

     16. A chord that passes through the centre of a circle is called a/an 

           (a) arc (b) diameter (c) segment (d) chord

     17. Find the circumference of a circle whose radius is 7cm (a) 44cm

         (b)308cm (c) 22cm (d) 154cm

 18.The following are properties of a square except(a) all four sides 

      are equal (b) diagonals are equal and bisect each other (c) each 

      angle is 90⁰ (d) only one pair of sides is equal

19. Express 11001₂ in denary (a) 21₁₀ (b)27₁₀ (c) 45₁₀(d) 25₁₀

20. The circumference of a circle is 88cm. find its radius (a) 7cm (b)   

      14cm (c)36cm (d) 44cm

21. The sum of angles of a triangle is (a) 180⁰(b) 360⁰ (c) 270⁰ (d) 90⁰

22. How many vertices has a cuboid (a) 8 (b) 12 (c) 6 (d) 3

23. Which of the following is a multiple of 3, 4 and 5? (a) 120 (b) 80 

      (c) 30 (d) 160

24.What is the supplement of 100⁰? (a) 100⁰ (b) 10⁰ (c) 180⁰(d) 80⁰

25.The angles of a quadrangle are v⁰, 3v⁰,5v⁰ and 6v⁰. Find v(a) 24⁰

      (b) 30⁰ (c) 20⁰ (d) 70⁰

26.Simplify 3(2x – y) – 5(9x-4y). (a) 11x + 23y (b) 11x – 17y (c) 11x + 

      17y (d) x + 17y

27.Simplify 18x³yz³  9x²y³z (a) 2xz/y²(b) 2x²z/y²(c) 2xz²/y²(d)   

      x²z²/2y

28. The perimeter of a parallelogram is 54cm. find the length if its  

         breadth is 12cm. (a) 12cm  (b) 15cm  (c) 27cm  (d) 39cm

29. Find the volume of a cuboid of dimensions 6m by 3m by 4m

       (a) 72m³(b)  24m³  (c) 60m³  (d) 120m³

30. Expand 3y(2y – 5). (a) 6y – 15y (b) 6y² – 15y (c) -6y² – 15y                    

       (d) 6y²  + 15

31. Simplify: (-7) – (+7) +(+10) – (-3) (a) -1 (b) 1 (c) 2 (d) 4

32. Find thevalueof p²q – q²p if p = 3 & q = 1 (a) -92 (b) -6 (c) 0         (d)  6

33. Find the product of -2, 5 and -9 (a) 80 (b) -80 (c) 90 (d) -90

34. When 20 is subtracted from three times a certain number, the

      result is 7. What is the number? (a) 27 (b) 13 (c) 9 (d) 10

35. Solve -7x = 21, what is x. (a) 3 (b) -3 (c) 4 (d) -4

36. The frequency of an item is (a) the most common number (b) the

      number in the middle of the set (c) the biggest number (d) the

      number of times the item occurs.

      Use the following information to answer Questions 37 to 40

       8,  8,  7,  4,  3,  8,  7,  10,  2,  3

 37. State the median of the set (a) 2 (b) 3 (c) 7 (d) 5.5

38. Calculate the mean (a)3 (b) 4 (c) 5 (d) 6

39. When a set of data is arranged in order of size, the middle term   is the ………? (a) mean (b) range (c) median (d) mode

40. Simplify 120² –  110² (a) 26 500 (b) 23 000(c) 2 300 (d) 1630

THEORY

Answer any four questions only

1. The following shows the shoe sizes of JSS 1B students.

        4  7  6  5  4  6  5  6  5  4  7  7  4  7  4

        4  6  6  5  4  4  5  4  5  6  5  6  5  5  5

1. Draw a frequency distribution table to show the information
2. How many students are in the class?
3. Which shoe size occurs most often?
4. What percentage of the students use size 7?
5. How many students are using shoe sizes less than 6  (10 marks)

2a. The cost of a newspaper is N150 and that of a magazine is N350.    A vendor sold 36 newspapers and 19 magazines. Estimate the amount of money the vendor received. What is the difference between the estimated and the exact cost of the paper.                     2b. Solve the equation: 5x – 3(x – 1) = 39                                                 

                                                                                          (10 marks)

3a. Find m, given that the three angles of a triangle are (m + 18)⁰, (2m + 28)⁰ and (3m + 47)⁰. Find all three angles.

3b. The volume of a box is 90 cm³ and its base area is 20cm². What is the height of the whole box?                                                 (10 marks)

4a.The length of a rectangular lawn is twice its width. If the perimeter of the lawn is 72 m, what is its width?

4b. Draw a circle of radius 3.6cm                                    (10 marks.)

5a. Calculate the perimeter of the shape below

5b. The hour spent as overtime by an office clerk in a particular week were as follows: 3.5 hrs, 2 hrs, 1hr, 2.5 hrs, 5 hrs, 4 hrs. Find the mean and median of the time spent.                  (10 marks.)

6a. Find the marked angles.

6b. In what time will a loan of N6 000 at an interest rate of 6% amount to N6 720?

                                                 THEORY

Answer  four questions only

1. The table shows the distribution of ages of workers in a company                     

Age in (years)	17- 21	22- 26	27- 31	32- 36	37- 41	42- 46	47- 51	52- 56
No of workers	12	24	30	37	45	25	10	7

• Using an assumed mean of 39 years, calculate the (i) mean (ii) variance and (iii) Standard deviation of the distribution
•  marks)

• The table below shows the number of victims of an epidemic in 15 local government areas of a state

No. of victims	2	3	4	5	6	7
No. of local governments	3	1	2	4	2	3

• State the mode and median of the distribution.
• Calculate the mean of the distribution giving your answer, correct to the nearest whole number.
• marks)

  3a. Find, correct to one decimal place, the values of x for which

             3^2x – 3 ^{(x + 2)} + 8 = 0

  3b. The 6^th term of an AP is 35 and the 13^th term is 77. Find the 20^th

       term                                                                                      (10 marks)

• In a survey of  290 newspaper readers, 181 of them read the Daily

Times, 142 read The Guardian, 117 read the Punch and each reads at least one of the three papers. If 75 read the Daily Times and the Guardian, 60 read the Daily Times and the Punch and 54 the Guardian and the punch:

• Draw a Venn diagram to illustrate this information.
• How many readers read:
• all three papers
• exactly two of the papers
• exactly one of the paper
• the Guardian alone?
•   (10 marks)

5. Two functions g and h are defined on the set R of real numbers by                  g(x) = x² – 2 and h(x) = , x ≠ 2. Find (a) h⁻¹  (b) g o h when x = –

5b. The line through (1, -p) and (2, 1) is parallel to the line through (1, 5p) and (2, 13). Find the values of p and the equation of the two lines marks)

6. Calculate the distance between the points (6, 5) and the point of intersection of the lines x + y = 4 and x – y = 2.

6b.Express where a, b and k are rational      numbers . Hence, evaluate a + b – 2k.                                  (10 marks)