# 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**

**Express 0.65 as a fraction.(a)****(b)****(c)****(d)****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****Find the HCF of 54, 36 and 72 (a) 6 (b) 18 (c) 12 (d) 9****Find the difference between the actual and the estimated values of 55-21 (a) 40 (b) 34 (c) 30 (d) 4****What will be the base of a triangle, if the area is 50cm**^{2}and height is 5cm? (a) 20cm (b) 10cm (c)25cm (d) 30cm**Find the HCF of 9x**^{2 }and 27xy^{2}(a) 9xy (b) 3xy (c) 3x (d) 9x**Simplify 9**^{2}-4^{2}(a) 81 (b) 65 (c) 16 (d) 9**Simplify 3(m-2n) -4(m-5n) (a)7m + 14n (b) 7m -26n (c) –m + 14n (d) –13m + 20n****Find the LCM of 7xy and 6y**^{2}(a) y (b) 7xy (c) 42x^{2}y^{2}(d) 42xy^{2}

**
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 90 ^{0 }(d) only one pair of sides is equal **

**19. Express 11001 _{2}
in denary (a) 21_{10} (b)27_{10} (c) 45_{10}(d) 25_{10}**

**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) 180 ^{0}(b) 360^{0} (c) 270^{0} (d)
90^{0}**

**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 100 ^{0}? (a) 100^{0} (b) 10^{0} (c) 180^{0}(d)
80^{0}**

**25.The angles of a quadrangle are v ^{0},
3v^{0},5v^{0} and 6v^{0}. Find v(a) 24^{0 }**

** (b) 30 ^{0 }(c) 20^{0} (d)
70^{0}**

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

** 17y
(d) x + 17y**

**27.Simplify 18x ^{3}yz^{3 }**

**9x**

^{2}y^{3}z (a) 2xz/y^{2}(b) 2x^{2}z/y^{2}(c) 2xz^{2}/y^{2}(d)** x ^{2}z^{2}/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) 72m ^{3}(b) 24m^{3} (c) 60m^{3} (d) 120m^{3}**

**30. Expand 3y(2y – 5).
(a) 6y – 15y (b) 6y ^{2 }– 15y (c) -6y^{2} – 15y **

** (d) 6y ^{2 } + 15**

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

**32. Find thevalueof p ^{2}q – q^{2}p 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
120 ^{2 }– 110^{2 }(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**

**Draw a frequency distribution table to show the information****How many students are in the class?****Which shoe size occurs most often?****What percentage of the students use size 7?****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 cm ^{3} and its base area is 20cm^{2}.
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

- 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)