6) The diagram shows a cylinder and a sphere.
The cylinder has radius 12cm and height 30cm.
The cylinder and the sphere have the same volume.
Work out the radius r cm of the sphere
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Card 7
Front
n/a
Back
Card 8
Front
8 (a) Two numbers, P and Q, are written as products of their prime factors.
P= 2⁵x3²x5³x11
Q= 2⁴x3x5⁴x7
(ii) The number C is written as the product of its prime factors.
2³x3x5²
Work out P÷C , leaving your answer as a product of powers of prime numbers.
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Card 9
Front
(b) (i) Write 450 as a product of its prime factors.
(ii) Find the highest common factor (HCF) of 270 and 450.
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Card 10
Front
9) 72 children are asked whether they have a laptop or an iPad.
• 31 have a laptop.
• 48 have an iPad.
• 12 have both.
• 5 have neither.
(a) Represent this information on a Venn diagram.
(b) One of the children is chosen at random.
Write down the probabi
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Card 11
Front
10) Here is the graph of y=x²+x-6
Use the graph to solve the equation x²+x-6= 0
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Card 12
Front
11) Here are two functions
Function A : input---> x2 ---> +4 --->output
Function B: input ---> -1 ---> x3 ---> output
Composite function C is shown below
Function C: input ---> Function A ---> Function B ---> output
(a) The output from function C is 54.
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Card 13
Front
(b) The input to function C is x.
Find an expression, in terms of x, for the output from function C.
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Card 14
Front
12) 30 students completed a puzzle and their times were recorded.
All of the students completed the puzzle in less than 50 seconds.
The histogram shows information about some of their times.
Complete the histogram for those completing the puzzle in less t
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Card 15
Front
13) Tenzin is given this question:
Factorise fully: 2x²+6x
