Second Term Examination Mathematics SS 1 Second Term Lesson Notes
SECOND TERM EXAMINATION
Subject: Mathematics
Class: SS1
Time:
SECTION A: OBJECTIVE QUESTIONS
Instruction: Answer all questions in this section.
-
If V varies directly with T and V = 6 when T = 2, the formula connecting V and T is:
a) V = 5T
b) V = 8T
c) V = 3T
d) V = 4T -
The height of a closed cylinder is equal to its radius r. Express the total surface area of the cylinder in terms of π and r:
a) 2πr²
b) 22πr²
c) 32πr²
d) 42πr² -
A cone and a cylinder have equal heights and volumes. If r is the radius of the cylinder, what is the radius of the cone in terms of r?
a) r
b) 3r
c) r/3
d) 1/3 r -
The slant height of a cone is twice its base radius r. Express the total surface area of the cone in terms of π and r:
a) 2/3 πr²
b) πr²
c) 1 1/3 πr²
d) 2πr² -
What is the value of 5³ mod 4?
a) 0
b) 1
c) 2
d) 3 -
x varies inversely with y, and x = 9 when y = 8. Find x when y = 12:
a) 6
b) 10 2/3
c) 11
d) 13
Use the table below to answer questions 7 – 10
Shoe Size | 36 | 37 | 38 | 39 | 40 |
---|---|---|---|---|---|
No. of Children | 1 | 3 | 8 | 5 | 3 |
-
Which shoe size is the mode?
a) 36
b) 37
c) 38
d) 39 -
The median shoe size is:
a) 36
b) 37
c) 38
d) 39 -
The mean shoe size is:
a) 36
b) 37
c) 38
d) 40 -
The range of the shoe sizes is:
a) 4
b) 3
c) 2
d) 1 -
If (2x + 3) is a factor of 6x² + x – 12, the other factor is:
a) (x + 6)
b) (2x – 3)
c) (3x + 4)
d) (3x – 4) -
Find the roots of the equation x² + 12x – 28 = 0. The greater root is:
a) -14
b) -2
c) 2
d) 14 -
Increase ₦330 in the ratio 6:5
a) ₦180
b) ₦275
c) ₦360
d) ₦396 -
A girl walks 6km at a speed of 4.5 km/h. How many minutes does her journey take?
a) 27
b) 45
c) 80
d) 120 -
A rope 24m long is divided into three pieces in the ratio 2:1:5. The length of the shortest piece is:
a) 3m
b) 6m
c) 8m
d) 15m -
What is the sum of the roots of the equation x² – 3x + 2 = 0?
a) -3
b) -1
c) 2
d) 3 -
3cm on a map represents a distance of 60km. If the scale is expressed as 1:n, then n =
a) 20
b) 60
c) 2000
d) 6000 -
Evaluate (101.5)² – (100.5)²
a) 1
b) 2.02
c) 20.02
d) 202 -
Express the product of 0.06 and 0.09 in standard form:
a) 5.4 × 10⁻³
b) 5.4 × 10⁻²
c) 5.4 × 10⁻¹
d) 5.4 × 10² -
Simplify 36¹/² × 64⁻¹/³ × 50
a) 0
b) 1/24
c) 2/3
d) 1 1/2
SECTION B: THEORY QUESTIONS
(Answer any three questions only.)
-
The following data gives the lengths (cm) of 30 iron rods:
45, 55, 65, 60, 61, 68, 59, 54, 64, 50, 68, 72, 68, 80, 67, 70, 62, 79, 64, 63, 71, 59, 64, 53, 57, 74, 55, 76, 67, 57.- Construct a frequency table using class intervals 45-49, 50-54, 55-59, etc.
- Calculate the Mean, Median, and Mode.
-
Solve the equation x² – 2x – 3 = 0 graphically for x values from -2 to 5.
3a. Construct a table of modular subtraction for mod 7.
3b. The cost of producing a machine is ₦232,000, with materials, labor, and overheads in the ratio 7:9:2. Calculate the labor cost for producing 32 machines.
4a. Find the values of sin and tan if cos = 0.125 in the range 0°–90°.
4b. A post casts a shadow 6m longer when the sun’s elevation is 30° than when it is 60°. Find the height of the post.
5a. In a group of 120 students:
- 60 studied Mathematics
- 40 studied Physics
- 55 studied Chemistry
- 22 studied none of the three subjects
- 12 studied Physics & Mathematics only
- 8 studied Chemistry & Physics only
- 7 studied Mathematics & Chemistry only
Draw a Venn diagram illustrating this data.
5b. Find the number of students that studied all three subjects.