3679
^{13}/_{24}

 Convert to Lowest Common Denominator
 ^{ 9}/_{24} + ^{4}/_{24}
 ^{13}/_{24}
1 ^{25}/_{36}




 First convert to improper fraction:
 ^{9}/4 – 5/9
 Convert to Lowest Common Denominator
 ^{81}/_{36} – ^{20}/_{36}
 ^{61}/_{36}
 1 ^{25}/_{36}



36


 ^{15}/_{100} * ^{240}/_{1}
 Simplify…^{3}/_{20} * ^{240}/_{1}
 ^{3}/_{1} * ^{12}/_{1}
 36

858
 22 x 39
 858
2
 170/24 = 7 remainder 2
 Teacher eats 2
£7.37
 £32.99 – £25.62
 Saving is £7.37
1/2
 1/5th to friend = 2/10ths
 3/10ths to other friends
 Total left is 5/10
 Always simplify
656
 1345689
 656
25,100 millimetres
 25.1metres = 25.1 x 100 = 2,510 centimetres
 2,510 x 10 = 25,100 millimetres
3
 Work backwards
 38 + 7 =45
 45 /15 = 3
a) 24
Half of the 48 students so 24
b) 1/4
c) 4
Pizza is about 1/3 of 1/4.
1/4 = 12 children given 1/2 = 24
So 1/3 of 12 = 4
£20.90
 £25.50 x 3 = £76.50
 £1.30 x 2 = £2.60
 Total = £79.10
 Change = £100 – £79.10
39
 Catherine gets 22 sweets
 Alison gets 11 sweets
 Bhavini gets 6 sweets
Reflection is per the grid markings
k = 180 5095 = 35°
For first question, use fractions approach remembering to simplify and cross cancel. (See prior question in this paper for illustration)
For second question, its the same as 13/52
Final question convert 15% to 0.15. Then 60/0.15
a) £27
Cost = ((8×3) + (3×1)) = 24+3 = 27
b) 2 adults. 3 children
Use £25 and work backwards taking off children until you get to a multiple of 8
So £16 would be the number
£25£16 = £9. So thats 3 children
Leaving £16 so its 2 adults
Use BIDMAS
a) x=65
x+80=15
x=1580
b) y=11
6y=46+20
6y=66
y=11
c) g=9.8
10g+15g = 645400
25g = 245
g=9 20/25
g = 9.8
a) 64cm²
Perimeter = 32. Therefore, each side is 8cm
Area = 8 x 8 = 64
b) 48cm²
96 tiles
3metres long and 4m wide = 12m² area
You will get 12 tiles in the width from 25cm tiles (3metres = 300cm. 300cm/25 = 12 tiles)
Across you will get 8 tiles in the length from 50cm tiles ( 4metres = 400cm/50cm – 8 tiles)
12 x 8 = 96 tiles
6.25
probability (3,7) = 1/2
probability (1,2,3,4) = 1/4
To get 7, you would need 3 on the coin and 4 on the dice. So thats 1/2 * 1/4 = 1/8 times you get a total of 7. So 1 out of 8 times
6 times you would expect to get the total 7. As you would get 7 every 8th time. So then after 48 times you get 7 6 times
The 2 remaining roles you have a 0.25 chance of getting 6 .
So 6.25
6 weeks
 Per week she gets (79p44p) profit. So this is 35p per download
 150 downloads per day = 150x35p = £52.50 per day
 £2000/£52.50 = 38.1 days
 So this is 6 weeks as this is 42 days as she gets paid at the end of each week so you can’t use part a week