(a) Reflect shape A in the y-axis and label the new shape B.
(b) Reflect shape B in the x-axis and label the new shape C.
(a) What was the mean score for the seven days?
(b) What was the range?
(c) A set of four numbers 5, 7, 12 and X have a mean of 10. What is X?
(a) According to Nigella, when making a birthday cake, the perfect ratio of flour to
sugar is 140:200. What is this ratio in its simplest form?
(b) I am making a scale model of my yacht, which is 9m long. If the scale is 1:30,
how long will the model yacht be (in cm)?
(c) My friend Dave is making a scale model of Tower Bridge. Tower Bridge is 60m
tall and his model is 120cm tall. What is the scale of the model, in its simplest form?
(a) An icicle measured 2.14m at the start of a sunny day, but only 87cm at the
end of the day. What length of icicle had melted?
(b) When I lay a new patio in my back garden, I will need 290kg of gravel. How many
12kg bags do I need to buy?
21. On my wall I want to put some stickers of David Cameron. The space I have available is 80cm by 45cm and the stickers are each 5cm by 10cm. What is the maximum number of stickers I can fit on the wall?
22. A train leaves London and travels at a steady speed of 120mph to Edinburgh. Before reaching Edinburgh, the train stops in Leeds after travelling for one and a half hours. The distance from London to Edinburgh is 420 miles. Use this information to answer the following: (a) How long does the train take to travel from London to Edinburgh?
(b) How far is Leeds from London?
26. What 5-digit number has the following features:
If we put the numeral 1 at the beginning, we get a number three times smaller than if
we put the numeral 1 at the end of the number?
In other words, if you think the answer is the number 34567, then you want the
number 134567 to be one third of 345671, but it isn’t, so what’s the number?