PRACTICE WORK FOR MID-TERM BREAK
YEAR 8
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1. Write down the inequality corresponding to each of the following.
2.
1
3.
4.
2
5.
3
6.
Complete the table of values below for the graph of 2y = 3x – 1.
(Remember to choose integer values of x that will give integer values of y)
x
y
7.
4
8.
9.
Write down the gradient, the y-intercept and the x-intercept for each of the
following:
(a)
y = 4x – 12
(b)
3y = 2x + 12
10.
5
(c)
x–y=3
11.
12.
6
13.
Given the points A (xA, yA) and B (xB, yB). Then, the gradient of line AB is
𝒚𝑨 − 𝒚𝑩
𝒚 −𝒚
or 𝒙𝑩 − 𝒙𝑨
𝒙𝑨 − 𝒙𝑩
𝑩
𝑨
The following points are given. M(5, 4) P(7, 9) and
Q(10, 14)
Find the gradient of:
PR
PQ
MP
MQ
MR
QR
See below the gradient of line MQ already done. Complete the rest.
𝒚 −𝒚
𝟏𝟒−𝟒
𝟏𝟎
Gradient of MQ = 𝒙𝑸 − 𝒙𝑴 = 𝟏𝟎−𝟓 = 𝟓 = 2
𝑸
𝑴
14.
7
R(– 3, – 5 ).
15.
Below are polygons that can be named given the number of sides.
(i)
(ii)
(iii)
(i)
Name: triangle
Number of sides = 3
Sum of angles = (3 – 2) × 180O = 180O
(ii)
Name: rectangle (quadrilateral)
Number of sides = 4
Sum of interior angles = (4 – 2) × 180O = 360O
(iii)
Name: pentagon
Number of sides = 5
Sum of interior angles = (5 – 2) × 180O = 540O
(iv)
Name: hexagon
Number of sides = 6
Sum of interior angles = (6 – 2) × 180O = 720O
(v)
(vi)
(vii)
(viii)
(iv)
Now, supply the same information on:
A seven-sided polygon
An eight-sided polygon
A ten-sided polygon
An n-sided polygon
16.
17.
A polygon is regular if the angles are equal, and the sides are of the same length.
8
18.
(i)
(ii)
19.
9
20.
21.
Remember the conversion rate between km, m and cm.
1 is already done for you
5000
10
22.
Use a ruler to measure on the maps and
then work out the real distances
23.
Using a ruler and a pair of compasses only,
(i) construct the triangle ABC below in the space that follows.
(ii) construct the perpendicular bisector of lines AB and BC. Where do the 2
perpendicular bisectors meet?
(iii) If O is the point of intersection of the two bisectors, construct a circle centre O and
radius OA. Does the circle pass through point B?
A
6cm
10cm
B
8cm
C
11
24.
25.
26.
Remove brackets and simplify each of the following expressions.
(a)
(2x – 5y) – (3y – 7x)
(b)
2(x – 2y) + 3(3x + 4y)
Solve each of the following equations.
(a)
3x – 2 = 12x – 20
(b)
1
3
x – 7 = 8 − 4x
3
(c)
1
2
(5𝑥 − 6) = 3 − (1 − 𝑥)
2
5
The following are the scores of some students in a Mathematics test. Represent these
marks on a stem and leaf diagram.
12
25
31
95
45
52
55
60
69
75
78
89
95
40
98
19
29
39
48
57
61
80
82
59
(a) How many scores were considered?
(b) Use the diagram to find (i) the range, (ii) the mode and (iii) the median marks.
12
27.
13
28.
14