Name
Score
Class
G7
Subject
Mathematics
Date
1.
2.
3.
Write each of the following numbers to 1 significant figure.
a.
9297
=
c.
4.51
=
b.
67
=
d.
0.0728
=
Write each of the following numbers to 2 significant figure.
a.
4895
=
c.
48.4
=
b.
723
=
d.
0.0571
=
In the following statements:
i.
State which are correct and which are incorrect.
ii.
For those which are incorrect, explain why and give the correct answer.
a.
In 4239 the first most significant number is 9.
b.
11.042 rounded to significant figures is 25.
c.
2487 rounded to 2 significant figures is 25.
d.
0.0416 rounded to 1 significant figure is 0.04.
4.
5.
6.
7.
Without using a calculator, work out the answers to the following.
a.
32 x 0.1 =
c.
256 ÷ 0.1 =
b.
320 x 0.01 =
d.
42.4 ÷ 0.01 =
Without using a calculator, work out the answers to the following.
a.
21 x 0.4 =
c.
100 ÷ 0.4 =
b.
25 x 0.02 =
d.
120 ÷ 0.03 =
Estimate the answer to each of these multiplications and divisions.
a.
49.7 x 5 =
c.
29 ÷ 4.9 =
b.
50 x 2.7 =
d.
63.8 ÷ 7.9 =
You are given that 125 x 7 = 875. Using this, find the answers to the
following calculations
a.
125 x 70 =
c.
875 ÷ 0.7 =
b.
125 x 0.7 =
d.
87.5 ÷ 7 =
8.
9.
10.
11.
12.
Write the following using indices.
a.
3x3x3x3
b.
2x2x2x2x2x2x2x2x2x2
Write the following in full. You do not need to calculate the answer.
a.
54
b.
35
Simplify the following using indices.
a.
37 X 35 X 33 =
c.
(97)3 =
b.
612 ÷ 64 =
d.
43 X 45 ÷ 46 =
Without using the calculator, calculate:
a.
162 =
d.
√49
b.
82 =
e.
√324
c.
(-11)2 =
f.
√-169
Without using the calculator, calculate:
a.
43 =
d.
3√27
b.
62 =
e.
3√343
c.
(-5)3 =
f.
3√-64
13.
Write the following numbers as a product of their prime factors, giving
your answers in index form.
a.
14.
500
b.
225
Find the highest common factor and the lowest common multiple of 175
and 140.
175
140
15.
A shopkeeper sells candles in packets of 24 and candle stands in packets
of 18. What is the least number of candles and candle stands Nila should
buy so that there will be one candle for each candle stand.
15.
Sara has 48 red flowers and 64 yellow flowers. She wants to make
bouquets with the same number of each colour flower in each bouquet.
What is the greatest number of bouquets she can make? And how many
red flowers and yellow flowers in each bouquet?