BPS FATIMA COLLEGE
2nd Term Examination 2023
Name:
Class:
Mathematics
1 h 30 minutes
Grade 8
Total Marks: 60
Answer all questions in the space provided.
1.
25,
√2,
−12
,
5
−17,
√9,
3.12,
0. 3̇
From the list given above, write down one
a) natural number
_____________________
[1]
b) integer
_____________________
[1]
c) rational number
_____________________
[1]
d) irrational number
_____________________
[1]
2. Complete the following sequences.
a) 11, 12, 23, 35, _______, _______.
1
1
1
b) (1, 2) , (2, 4) , (3, 8) , (4,
1
[2]
), ( ______, _______ ).
[2]
16
3. Evaluate the following.
a) 3−3
[2]
1 2
[2]
b) ( )
4
1
3
c) √343
[1]
d) 4 × (−9)
[1]
e) −14 − (−19)
[1]
4. Simplify the following.
a) 3(𝑟𝑠)5
[1]
8𝑥 2
[2]
b)
10𝑥𝑦
5. Round 438 to the nearest
a) ten
__________________
[1]
b) hundred __________________
[1]
6. Express
7.362 (correct to 1 decimal place)
__________________________
[1]
82.3721 (correct to 2 decimal places)
__________________________
[1]
7. Write ′ <′ , ′ > ′ 𝑜𝑟 ′ = ′ in each of the blank spaces below.
a)
1
4
_______
4
16
b) 0.25 ________
2
1
5
c) 62 ________ √36
[3]
8.
a) Convert 24 Km/h into m/s.
[3]
b) The actual distance between Goodlands and Grand-Bay is 9 Km. Given that the
[2]
scale on the map is 1: 100 000, calculate the distance on the map.
9.
If 35 men can reap a field in 8 days, in how many days can 20 men reap the same
[3]
field?
10. a) Decrease 90 cm by 20 %.
[2]
b) Levi is having a sale where everything is at a discount of 30 %. How much would
a pair of jeans priced at Rs 1750 cost?
3
[2]
11.
A shopkeeper bought locks at a rate of 8 locks for Rs 520 and sold them at a rate of
12 locks for Rs 936.
12.
a) Calculate his percentage profit or loss.
[2]
b) Calculate the number of locks he should sell to make a profit of Rs 520.
[2]
James invests Rs 18 000 in a company for 2 years at a rate of interest of 4 % per
[3]
annum. Find the amount he receives at the end of 2 years.
13.
Find the value of the unknown side 𝑥.
[3]
𝑥
12 cm
14.
a) Factorise 3𝑎2 + 6𝑎.
[1]
b) Find the H.C.F of 18𝑎𝑏 and 30𝑏.
[3]
4
15.
a) Complete the table of values given below for the equation 𝑦 = 3𝑥 + 1.
𝑥
−2
−1
0
1
[3]
2
𝑦 = 3𝑥 + 1
(𝒙, 𝒚)
b) Draw the graph of 𝑦 = 3𝑥 + 1 and 𝑦 = 4 on the same well-labelled cartesian
[4]
plane.
c) Write the coordinates of the point of intersection of these straight lines.
________________________________________________________________
End of the paper
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[2]