L1
Formulas quiz
Level A
1. Which steps solve this 2 step problem:
Behroz has £15 in his wallet, he spends £5 on a book then his sister pays him the £10 she
owes him.
A) 15 + 5 = 20
20 + 10 = 30
B) 15 - 5 = 10
10 + 10 = 20
C) 15 + 5 = 20
20 - 10 = 10
D) 15 - 5 = 10
10 - 10 = 0
2. Which steps solve this 2 step problem:
Mona has £3 in her purse, then she takes £20 out of the cash machine. Afterwards she
spends £2 on a coffee.
A) 3 + 20 = 23
23 + 2 = 25
B) 20 - 3 = 17
17 - 2 = 15
C) 3 + 20 = 23
23 - 2 = 21
D) 20 - 3 = 17
17 + 2 = 19
3. Which steps solve this 2 step problem:
Cathy eats at a restaurant with three friends. The bill comes to £36. The group agrees to add
a £4 tip. Then they agree to share the total payment equally.
A) 36 + 4 = 40
40 ÷ 4 = 10
B) 36 - 4 = 32
32 ÷ 4 = 8
C) 36 ÷ 3 = 12
12 + 4 = 16
D) 36 ÷ 4 = 9
9-4=5
© BBC 2011
L1
Formulas quiz
4. Which steps solve this 2 step problem:
David buys a bottle of milk for 45p and a bar of chocolate for 42p. He has a coupon for 10p off
the price of the bar of chocolate which he uses at the checkout.
A) 45 - 42 = 3
3 + 10 = 13
B) 45 + 42 = 87
87+ 10 = 97
C) 45 + 42 = 87
87 - 10 = 77
D) 45 + 42 = 87
87 × 10 = 870
5. Which steps solve this 2 step problem:
Anil buys 2 bags of apples for £1.14p each. Then he buys a jar of coffee for £3.37.
A) 1.14 × 2 = 2.28
2.28 + 3.37 = 5.65
B) 2 + 1.14 = 3.14
3.14 + 3.37 = 6.51
C) 2 - 1.14 = 0.86
0.86 + 3.37 = 4.23
D) 1.14 + 3.37 = 4.51
4.51 × 2 = 9.02
6. Which steps solve this 2 step problem:
Marcin has £1.50 on his travel card. He adds on an extra £20. Then he travels by train and
the fare is £5.20.
A) 1.50 + 20 = 21.50
21.50 + 5.20 = 26.70
B) 20 - 1.50 = 18.50
18.50 + 5.20 = 23.70
C) 20 - 1.50 = 18.50
18.50 - 5.20 = 13.30
D) 1.50 + 20 = 21.50
21.50 - 5.20 = 16.30
© BBC 2011
L1
Formulas quiz
7. This is a formula:
P = 4L
A) True
B) False
8. This is a formula:
D=S×T
A) True
B) False
9. This is a formula:
2a + b + c
A) True
B) False
10. What does this formula mean in words:
(where P = perimeter and L = length)
P = 4L
A)
B)
C)
D)
Perimeter = 4 plus the length
Perimeter = 4 minus the length
Perimeter = 4 times the length
Perimeter = 4 divided by the length
© BBC 2011
L1
Formulas quiz
Level B
1. This is a formula:
A+L+W
A) True
B) False
2. This is a formula:
A=L×W
A) True
B) False
3. What does this formula mean in words:
(where P = perimeter; L = length and W = width)
P = 2L + 2W
A)
B)
C)
D)
Perimeter = twice the length times twice the width
Perimeter = two plus the length plus two plus the width
Perimeter = length plus width
Perimeter = twice the length plus twice the width
4. What does this formula mean in words:
(where V = volume; L = length; W = width; H = height)
V=L×W×H
A)
B)
C)
D)
Volume = length plus width plus height
Volume = length times width times height
Volume = length plus width divided by height
Volume = length minus width times height
© BBC 2011
L1
Formulas quiz
5.
Find the value of the perimeter (P) using the formula P = 2L + 2W
when length (L) = 6cm and width (W) = 5cm.
A)
B)
C)
D)
11 cm
30 cm
22 cm
51 cm
6. Find the value of the perimeter (P) using the formula P = 4L
when length (L) = 10cm
A)
B)
C)
D)
14 cm
410 cm
28 cm
40 cm
7. Find the value of the area (A) using the formula
A=L×W
when length (L) = 7cm and width (W) = 4cm
A)
B)
C)
D)
28 cm
11 cm
22 cm
74 cm
8. Find the value of the distance in miles (D) using the formula D = S × T
when speed (S) = 30mph and T = 4 hours
A)
B)
C)
D)
34 miles
26 miles
7.5 miles
120 miles
© BBC 2011
L1
Formulas quiz
9. Write a formula to show this:
If I think of a number (n), then add 8, I get 10.
A)
B)
C)
D)
n + 8 = 10
8n = 10
n - 8 = 10
n = 8 + 10
10. Write a formula to show the total cost in pence (C) of a number of cans of sweetcorn (n) at
65p each.
A)
B)
C)
D)
C + n = 65
C = 65 + n
C = 65n
C × n = 65
© BBC 2011
L1
Formulas quiz
Level C
1. What does this formula mean in words:
(where S = speed; D = distance; T = time)
S=D/T
A)
B)
C)
D)
Speed = distance plus time
Speed = distance times time
Speed = distance minus time
Speed = distance divided by time
2. What does this formula mean in words:
(where P = perimeter; L = length; W = width)
P = 2(L + W)
A)
B)
C)
D)
Perimeter = two times length plus width
Perimeter = two divided by length plus width
Perimeter = two times the total of length plus width
Perimeter = 2 plus length plus width
3. What does this formula mean in words:
(where T = total cost; n = number of items bought and C = cost of one item)
T = nC
A)
B)
C)
D)
Total cost = number of items times cost of one item
Total cost = number of items plus cost of one item
Total cost = number of items minus cost of one item
Total cost = number of items divided by cost of one item
© BBC 2011
L1
Formulas quiz
4. Find the value of the distance in miles (D) using the formula D = S × T
when S = 45mph and T = 2 hours
A)
B)
C)
D)
22.5 miles
43 miles
90 miles
47 miles
5. Find the value of the perimeter (P) using the formula P = 2L + 2W
when length (L) = 3 m and width (W) = 0.5 m.
A)
B)
C)
D)
1.5 m
3.5 m
6.5 m
7m
6. Find the value of the area (A) using the formula
A = L2
when length (L) = 25m
A)
B)
C)
D)
625 m2
425 m2
100 m2
29 m2
7. Find the value of the distance in miles (D) using the formula D = S × T
when speed (S) = 20mph and T = ½ hour
A)
B)
C)
D)
40 miles
20.5 miles
10 miles
19.5 miles
© BBC 2011
L1
Formulas quiz
8. Write a formula to show this:
If I think of a number (n), then subtract 35, I get 65.
A)
B)
C)
D)
n - 35 = 65
n + 35 = 65
35 - n = 65
n = 65 – 35
9. Write a formula to show this:
If I think of a number (n), then multiply it by 3, I get 66.
A)
B)
C)
D)
n = 3 × 66
3n = 66
n + 66 = 3
n - 66 = 3
10. Write a formula to show the total cost in pounds (C) of a number of bottles of drink (n) at 95p
each.
A)
B)
C)
D)
C = 95n
C = 95 + n/100
C = 95n/100
C = 95/100n
© BBC 2011
L1
Formulas quiz
Answers
Level A
1. Which steps solve this 2 step problem:
Behroz has £15 in his wallet, he spends £5 on a book then his sister pays him the £10 she
owes him.
The correct answer is: B. 15 - 5 = 10
10 + 10 = 20
Behroz starts with £15, then spends £5 (subtract 5 from 15 leaving £10). Then his sister pays
him £10 (add £10 to the £10 he had - meaning he now has £20)
2. Which steps solve this 2 step problem:
Mona has £3 in her purse, then she takes £20 out of the cash machine. Afterwards she
spends £2 on a coffee.
The correct answer is: D. 20 - 3 = 17
17 + 2 = 19
'Take' may make you think of take away which means subtract, but here Mona is taking
money out so she is getting more money - add £20 to the £3 already in her purse giving £23.
Then Mona spends £2 so subtract £2 from the £23, leaving £21.
3. Which steps solve this 2 step problem:
Cathy eats at a restaurant with three friends. The bill comes to £36. The group agrees to add
a £4 tip. Then they agree to share the total payment equally.
The correct answer is: A. 36 + 4 = 40
40 ÷ 4 = 10
First add the tip to the bill (36 + 4 = 40). Then divide the total equally among the four people
(Cathy and her three friends): 40 ÷ 4 = 10
© BBC 2011
L1
Formulas quiz
4. Which steps solve this 2 step problem:
David buys a bottle of milk for 45p and a bar of chocolate for 42p. He has a coupon for 10p off
the price of the bar of chocolate which he uses at the checkout.
The correct answer is: C. 45 + 42 = 87
87 - 10 = 77
First find out the total cost of the milk and chocolate (45 + 42 = 87). Then take away the value
of the coupon: 87 - 10 = 77 (the word off gives you the clue that you need to subtract).
5. Which steps solve this 2 step problem:
Anil buys 2 bags of apples for £1.14p each. Then he buys a jar of coffee for £3.37.
The correct answer is: A. 1.14 × 2 = 2.28
2.28 + 3.37 = 5.65
First work out the cost of 2 bags of apples (1.14 × 2 = 2.28). Then add the cost of the coffee
to this total: 2.28 + 3.37 = 5.65)
6. Which steps solve this 2 step problem:
Marcin has £1.50 on his travel card. He adds on an extra £20. Then he travels by train and
the fare is £5.20.
The correct answer is: D. 1.50 + 20 = 21.50
21.50 - 5.20 = 16.30
The problem is about what value is on the travel card. First add the £20 that he put on his
card to what was already on there (1.50 + 20 = 21.50). Then subtract the cost of the fare
(21.50 - 5.20 = 16.30 left on the card).
© BBC 2011
L1
Formulas quiz
7. This is a formula:
P = 4L
The correct answer is: A. True
It has letters that stand for something, a number and an equals sign and is used for working
out perimeter.
8. This is a formula:
D=S×T
The correct answer is: A. True
It has letters that stand for something and an equals sign and is used for working out distance
given speed and time spent travelling.
9. This is a formula:
2a + b + c
The correct answer is: B. False
This is an expression as it does not have an equals sign. There is no clue as to what the
letters stand for and we do not know what is being worked out.
10. What does this formula mean in words:
(where P = perimeter and L = length)
P = 4L
The correct answer is: C. Perimeter = 4 times the length
© BBC 2011
L1
Formulas quiz
Level B
1. This is a formula:
A+L+W
The correct answer is: B. False
This is an expression as it does not have an equals sign. There is no clue as to what the
letters stand for and we do not know what is being worked out.
2. This is a formula:
A=L×W
The correct answer is: A. True
It has letters that stand for something and an equals sign and is used for working out the area
of a rectangle
3. What does this formula mean in words:
(where P = perimeter; L = length and W = width)
P = 2L + 2W
The correct answer is: D. Perimeter = twice the length plus twice the width
4. What does this formula mean in words:
(where V = volume; L = length; W = width; H = height)
V=L×W×H
The correct answer is: B. Volume = length times width times height
© BBC 2011
L1
Formulas quiz
5. Find the value of the perimeter (P) using the formula P = 2L + 2W
when length (L) = 6cm and width (W) = 5cm.
The correct answer is: C. 22 cm
2L = 2 × 6 = 12
2W = 2 × 5 = 10
12 + 10 = 22
6. Find the value of the perimeter (P) using the formula P = 4L
When length (L) = 10cm
The correct answer is: D. 40 cm
4L = 4 × 10 = 40
7. Find the value of the area (A) using the formula
A=L×W
when length (L) = 7cm and width (W) = 4cm
The correct answer is: A. 28 cm
7 × 4 = 28
© BBC 2011
L1
Formulas quiz
8. Find the value of the distance in miles (D) using the formula D = S × T
When speed (S) = 30mph and T = 4 hours
The correct answer is: D. 120 miles
30 × 4 = 120
9. Write a formula to show this:
If I think of a number (n), then add 8, I get 10.
The correct answer is: A. n + 8 = 10
number plus 8 equals 10
10. Write a formula to show the total cost in pence (C) of a number of cans of sweetcorn (n) at
65p each.
The correct answer is: C. C = 65n
The cost would be 65p for each can bought. If you bought 2 cans it would be 2 × 65. We are
using n to stand for the number if cans so the cost is n × 65. This is written as 65n.
Cost (C) = 65n
© BBC 2011
L1
Formulas quiz
Level C
1. What does this formula mean in words:
(where S = speed; D = distance; T = time)
S=D/T
The correct answer is: D. Speed = distance divided by time
D/T means divide D (distance) by T (time)
2. What does this formula mean in words:
(where P = perimeter; L = length; W = width)
P = 2(L + W)
The correct answer is: C. Perimeter = two times the total of length plus width
The brackets tell you to work out what is inside them first. So you need to find the total of
length and width and then multiply by two.
3. What does this formula mean in words:
(where T = total cost; n = number of items bought and C = cost of one item)
T = nC
The correct answer is: A. Total cost = number of items times cost of one item
Two letters together means multiply the values of the letters.
© BBC 2011
L1
Formulas quiz
4. Find the value of the distance in miles (D) using the formula D = S × T
When S = 45mph and T = 2 hours
The correct answer is: C. 90 miles
D = 45 × 2
= 90
5. Find the value of the perimeter (P) using the formula P = 2L + 2W
when length (L) = 3 m and width (W) = 0.5 m.
The correct answer is: D. 7 m
2L = 2 × 3 = 6
2W = 2 × 0.5 = 1
6+1=7
6. Find the value of the area (A) using the formula
A = L2
When length (L) = 25m
The correct answer is: A. 625m2
L2 means L times L = 25 × 25 = 625
© BBC 2011
L1
Formulas quiz
7. Find the value of the distance in miles (D) using the formula D = S × T
When speed (S) = 20mph and T = ½ hour
The correct answer is: C. 10 miles
D = 20 × ½
= 10
8. Write a formula to show this:
If I think of a number (n), then subtract 35, I get 65.
The correct answer is: A. n - 35 = 65
9. Write a formula to show this:
If I think of a number (n), then multiply it by 3, I get 66.
The correct answer is: B. 3n = 66
3n means 3 times the number
10. Write a formula to show the total cost in pounds (C) of a number of bottles of drink (n) at 95p
each.
The correct answer is: C. C = 95n/100
Multiply the number of bottles by the cost of a bottle: n × 95
This is written as 95n. This gives the cost in pence. To convert pence to £ divide by 100.
© BBC 2011