Programme 1 Revision
Rounding
1. Round the following numbers to the nearest 10:
a)
2.
d) 355
765
b) 8023
c) 15267
d) 23428
8996 b) 3422
c) 19653
d) 56410
Round the following numbers to 1 decimal place:
a)
5.
c) 1203
Round the following number to the nearest 1000:
a)
4.
b) 876
Round the following numbers to the nearest 100:
a)
3.
27
35.234 b) 863.36372
c) 109.9999
Round the following numbers to 2 decimal places:
a)
20.8655
b) 231.53728
c) 3.41389
Integers
6.
The temperature in Glasgow at 3pm was 50C. By midnight the temperature had
dropped by 80. What was the temperature in Glasgow at midnight?
7. Calculate:
a)
-2 + 8
b) 3 – 11
c) -5 – 7
d) 4 + (-13)
e) 6 + (-18)
f) (-1) + (-19)
g) (-14) + (-13)
h) 7 – (-10)
i) (-7) – (-12)
j) (-13) – (-8)
k) 8 x (-9)
l) (-32) ÷ (-8)
m) (-23) x (-4) n) (-72) ÷ 9
8. Calculate: a) (-2)2
b) 7 + 6 – (-8)
c) (-9) + (-4) + 3
9. On Monday the temperature at noon was 70C. Over the next few days the following
temperature changes were recorded:
Monday to Tuesday – down by 40C
Tuesday to Wednesday – up by 20C
Wednesday to Thursday – up by 10C
Thursday to Friday – down by 60C
What was the temperature on Friday?
Number Skills
10. Calculate:
a) 254 x 60
b) 612 x 800
c) 3.9 x 2000
e) 1 million ÷ 2000
f) 9021 ÷ 30
g) 5.6 ÷ 700
d) 80400 ÷ 400
11. A van does 32miles to the gallon of petrol. How many miles can it do if the petrol
tank holds 7 gallons?
12. Each day 5 aeroplanes fly from Glasgow to New York. Each aeroplane can hold 346
passengers. How many people can travel from Glasgow to New York in one day?
13. The cost of one calculator is £5.98. What is the cost of 10 calculators?
14. There were 8256 fans at a Lady Gaga concert and 12 034 fans at a one direction
concert. How many more one direction fans were there?
15. 17 apes ate forty bananas each every day for 2 weeks. How many bananas were
eaten altogether over the two week period?
16. 30 bags of potatoes weigh 168kg. How much does one bag of potatoes weigh?
17. 34 200marbles are shared equally amongst 200 glass jars. How many marbles will
there be in each jar?
Algebra
18. Solve the following equations:
a) x + 14 = 23
e)
1
x
2
=9
i) 6x – 4 = -16
b) 7x = 42
f)
1
x
4
c) 3x + 5 = 32
+3=8
g)
j) 8x – 2 = 5x + 13
1
x
3
d) 2x – 4 = 12
–7=9
h) 12 – x = 20
k) 5x + 6 = 3x + 18
l) 3x – 1 = 7 – x
19. Remove the brackets:
a) 5(y + 3)
b) 3(k – 8)
c) d(2d – 1)
d) 2(7e – 4)
20. Remove the brackets and solve the equation:
a) 2(x + 3) = 10
b) 3(x – 1) = 9
c) 5(2y + 4) = 30
d) 3(d – 2) = d + 20
21. There were x lollipops in a jar. 5 lollipops were eaten and there were 19 left.
a) Create an equation involving x, using the above information.
b) Solve the equation to find how many lollipops were in the jar to begin with.
22. Alice made a daisy chain x cm long. Here friend Stacey also made a daisy chain
8cm long. They decided to join them together to make a daisy chain 23cm long.
a) Create an equation involving x, using the above information.
b) Solve the equation to find how long Alice’s daisy chain was.
23. John and Aaron have the same number of biscuits. John has 4 full boxes and 3
single biscuits. Aaron has 2 boxes and 21 single biscuits.
a) Make up an equation using the above information.
b) Solve the equation to fin how many biscuits are in each box.
Statistics
24. Calculate the mean, median, mode and range of the following sets of data:
a) 6, 8, 6, 7, 8, 5, 9, 1, 4
b) 22, 13, 12, 14, 12, 31, 11, 22, 16
25. The weights of 6 boys are shown below:
42kg, 48kg, 60kg, 42kg, 47kg, 49kg
a)
Find the mean weight.
b) Calculate the median weight.
26. The mean cost of 5 tyres is £48. Four of the tyres cost £51, £44, £50, and £49.
What is the cost of the fifth tyre?
27. The mean height of 6 children is 1.47metres. Five of the children’s heights are:
1.23m, 1.23m, 1.56m, 1.59m, 1.63m
What is the height of the sixth child?