Question 1
At the store, cola is sold in a multipack of cans and in a single bottle.
Which option is the better value for money?
Give your answer as a single word, either ‘multipack’ or ‘single’
ANSWER: Simple text answer
Answer: multipack
Workings:
Single = 1500 ml so 1 ml = \dfrac{1.50 \times 100}{1500} = 0.1p
Multipack = 6 × 330 = 1980 ml so 1 ml = \dfrac{1.70 \times 100}{1980} = 0.086p
Marks = 3
Question 2
Grayson Academy can choose from two suppliers when buying scissors.
The academy intends to purchase 250 scissors.
Which supplier offers better value for money?
Give your answer as a single word, either ‘Desk’ or ‘Delaware’.
ANSWER: Simple text answer
Answer: Delaware
Workings:
Desk = \dfrac{250}{4} = 62.5 packs
Delaware = \dfrac{250}{2} = 125 packs
Desk = 63 packs = 63 \times £9.95 = £626.85 + £4.95 = £631.80
Delware = 125 packs \times £4.99 = £623.75 + £299 = £626.74
Marks = 3
Question 3
Sugar can be purchased from four different shops.
Which shop offers the best value for money for sugar?
ANSWER: Multiple choice (Type 1)
A: Shop A
B: Shop B
C: Shop C
D: Shop D
Answer: C
Workings:
Shop A = 0.158p per g
Shop B = 0.158p per g
Shop C = 0.099p per g
Shop D = 0.1032p per g
Marks = 4
Question 4
Cheese pizza comes in three different sizes and at three different prices.
Work out which pizza is the best value for money.
ANSWER: Multiple choice (Type 1)
A: 8 inch Small
B: 10 inch Medium
C: 12 inch Large
D: All pizzas are equal in value
Answer: C
Workings:
Small area = 16\pi Inches^2
Medium area = 25\pi Inches^2
Large area = 36\pi Inches^2
Cost per sqaure inch: we can cancel out the \pi and just divide by 16, 25 and 36.
Small = \dfrac{799}{16}= 49.94p
Medium =\dfrac{999}{25}= 39.96p
Large = \dfrac{1299}{36}= 36.08p
So large pizza is the best value.
Marks = 4
Question 5
Wall tiles are sold either as a single tile or as a box of tiles from two different suppliers.
5(a) Brian needs enough tiles to cover a wall of 4 \space m^2 and he can only use one supplier.
Boxes of tiles are sold as full boxes only. Which option should he choose?
Give your answer as a single word, either ‘single’ or ‘box’.
ANSWER: Simple text answer
Answer: single
Workings:
Area of single = 200 \space cm^3
Area of box = 3200 \space cm^3
Area of wall = 40000 \space cm^3
Number of single tiles = \dfrac{40000}{200} = 200 tiles
Number of boxes = \dfrac{40000}{3200} = 12.5 boxes =13 full boxes
Single tiles cost = 200 \times £0.49 = £98
Cost of the boxes of tiles 13 \times £7.99 = £103.87
Single tiles are the cheaper option.
Marks = 5
Question 6
Three shops sell three different sized bottles of water.
Amazer shop sells water in 1L bottles, Best-Value sells water in 0.5L bottles and Cheapest Buy sells 750ml bottles of water.
Using the three statements above, work out who got the cheapest water per millilitre.
Give your answer as a single word, either ‘Jack’, ‘Sophie’ or ‘Kabira’.
ANSWER: Simple text answer
Answer: Sophie
Workings:
Jack:
4A + 5B +9C = £8.96
(4 \times 1L) + (5 \times 0.5 L) + (9 \times 0.750)= 13.2 litre
\dfrac{8.96}{13.25} = £0.68 per litre
Sophie:
8A + 10B = 8.92
(8 \times 1L) + (10 \times 0.5 L) = 15 litres
\dfrac{8.92}{15} = £0.59 per litre
Kabira:
9A + 9B + 5C = 11.77
(9 \times 1L) + (9 \times 0.5 L) + (5 \times 0.750) = 17.25 litres
\dfrac{11.77}{17.25} = £0.68 per litre
Marks = 6