Download More Revision for tests

More Revision for tests
Test 1 : Calculator allowed
1. Convert percentages to decimals and fractions and vice versa
Percentage
Decimal
Fraction
55
0.65
5
16
90
0.025
3
20
2.
Put the following numbers in order of magnitude from smallest to
2
23
largest:
0.2
21% 0.12 2%
9
100
3.
Put the following numbers in order of magnitude from smallest to
largest:
3.4
0.34 -4.3 -3
4
-0.43
4.
(a) List the first 6 square numbers. The first two are done for you.
1
4
___
___
___
___
(b) List the first 5 cube numbers.
___
___
___
___
___
5.
The temperature on Christmas Eve at 11pm is -4o C. At noon on
Christmas Day it is 3o C. What is the difference in temperature?
6.
Speed is calculated from the formula
s=d
t
where d = distance and t = time.
If a runner takes 2 minutes 40 seconds to run 800 m, what is their
average speed.
7.
Which computer is cheaper? You MUST show your calculations
and reasoning
Model A costs £350 before VAT (which is 15%)
1
Model B is reduced by
from its original price of £499.
5
8.
The graph shows a cycle ride.
distance from home (miles)
miles from home
16
14
12
10
8
6
4
2
0
9:00
9:30
10:00
10:30
11:00
11:30
12:00
12:30
13:00
13:30
14:00
Time
a)
b)
c)
d)
9.
How many times did the cyclist stop?
How far was she from home at mid-day?
What was her speed between 09:30 and 10:30?
How fast did she travel on the way home?
(a) Write in standard form
5460000
(b) Write in standard form
0.000053
(c) Write as an ordinary number 2.445 × 105
(d) Write as an ordinary number 2.445 × 10-4
Calculate and write your answers in both standard form and as an ordinary
number:
(e)
(1.2 × 105) + ( 3.2 × 106)
(f)
(3.45 × 107) – (6.7 × 106)
(g)
(5 × 105) × (2.3 × 10-4)
(h)
(1.752 × 104) ÷ (2.5 × 10-3)
Test 2 : Calculator NOT allowed
1. Match the names and the examples
Name
Natural numbers
Fractions
Factors of 30
Negative numbers
Integers
Irrational numbers
Multiples of 5
Prime numbers
1
2
3
4
5
6
7
8
1 ____
2.
2 ____
3 ____
Example
½ , 1¾, ⅝, ⅔
3, 5, 6
-4, 76, 0
30, 60, 90
2, 5, 17
67, 100, 235
, 2
-4.5, -2, -⅞
a
b
c
d
e
f
g
h
4 ____
5 ____
6 ____
7 ____ 8 ____
What is the meaning of the digit 4 in the following:
12456
3.456
4067.5
12.345
3.
Estimate the value of
37.5 - 62.9 × 0.375
4.295 + 7.85 × 2.425
4.
Round
(a)
(b)
(c)
(d)
(e)
426.593 to 3 s.f.
3.5374 to 3 d.p.
0.0275 to 2 d.p.
47875 to 2 s.f.
0.040675 to 3 s.f.
5.
Simplify
(a)
8+2a+5b–3a–b–5 =
(b)
3a4 × 2a =
(c)
10 a6 ÷ 2 a2
245.75
6.
The data below shows the predicted life expectancy at different ages
for females living in the UK.
At birth
80.9
Age 1
81.3
Age 15
81.4
Age 45
82.2
Age 65
84.4
Plot these figures on a graph
What is the life expectancy for a woman aged 20?
What is the life expectancy for a woman aged 40?
What is the life expectancy for a woman aged 70?
7.
Which is better value: a 400g bag of carrots costing 85p, or a 700g bag
costing £1.50?
8.
The exchange rate is 1euro = £0.90.
What is the cost in £ of a meal which costs 12 euros?
A service charge of 10% is added to the basic cost of 12 euros.
What is the total cost in both euros and in £?
9.
Evaluate:
(a)
(b)
(c)
(d)
(e)
(f)
34
105
0.62
6 ÷ 0.2
30 × 0.4
1600
Answers
1.
2.
3.
4.
Test 1
Percentage
Decimal
55
0.55
Fraction
55 = 11
100
20
65%
0.65
65 = 13
20
100
31.25%
0.3125
5
16
90
0.9
90 = 9
100
10
2.5%
0.025
15%
0.15
25
1000
= 1
40
3
20
(20%, 21%, 12%, 2%, 22.2%, 23%) 2%, 0.12, 0.2, 21%, 2/9, 23/100
-4.3 -3
-0.43 0.34 3.4
4
1, 4, 9, 16, 25, 36
1, 8, 27, 64, 125
5.
6.
7.
8.
9.
7o C
800/160 = 5 m/s
(300 m per minute)
A = £402.50
B = £399.20
B is cheapest
stopped twice, 15 miles, 10 mph, 15 mph
5.46 × 106, 5.3 × 10-5, 244 500, 0.0002445
3.32 × 106 = 3320000,
2.78 × 107 = 27,800,000
2
1.15 × 10 = 115
7.008 × 106 = 7,008,000
Test 2
1.
1 b,d,e,f
2a
3b
4h
5 b, c, d, e, f
6g 7d 8e
2.
four hundred, 4 tenths, 4 thousand, 4 hundredths, forty
3.
40 – 60 × 0.4 = 40 – 24 = 16 = 0.8
4+8×2
4 + 16 20
4.
5.
427
3 – a + 4b
3.537
0.03
6
a5
48000
5
0.0407
a4
6.
81.5
82.1
85
7.
8.
9.
400g: 0.2125p/g
£10.80
81
100 000
700g: 0.214286 p/g
13.2 euros = £11.88
0.36
30
12
400g cheaper
40