3) Here is Mario’s answer to a question
Explain the error in Mario’s method.
It is not a right angled triangle
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4) Here are the interest rates for two bank accounts
Northern Savings Bank (NSB)
2.5% per year
compound interest
Central Alliance Bank (CAB)
2.7% per year
simple interest
Mia puts £6400 in each account.
Calculate the difference in value between the two
2.5÷100=0.025
6400 x (1 x 0.025)⁸=7797.78
(2.7÷100) x 6400=172.80
8 x 172.80=1382.60
6400+1382.40=7782.40
7797.78-7782.40=15.38
£15.38
4 of 16
5) Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
Find the cost of one crayon
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
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.
a) 2⁴x3x5³ x 2x3x5x7x11
=13860000
b) ?
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(b) (i) Write 450 as a product of its prime factors.
(ii) Find the highest common factor (HCF) of 270 and 450.
2x3x3x5=90
90
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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
a) L I
19 12 36
b) 36/72 --> 1/2
1/2
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10) Here is the graph of y=x²+x-6
Use the graph to solve the equation x²+x-6= 0
x= -3
x=2
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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.
a) (54÷3 +1) -4
----------------
2
18-2 (15)
--------
2 7.5
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(b) The input to function C is x.
Find an expression, in terms of x, for the output from function C.
b) (2x+4)-1 x3
3(2x+3)
6x+9
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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
30-12-9-3=6
6/10=0.6
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13) Tenzin is given this question:
Factorise fully: 2x²+6x
Here is his answer:
2x²+6x= x(2x+6)
Explain why Tenzin’s answer is not correct
He did not factorise fully
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14) y is inversely proportional to the square root of x.
y is 40 when x is 9.
Find a formula linking x and y
y= k/√x
40=k/√9
k= 40x√9
=120/√x
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Other cards in this set
Card 2
Front
2) Hector can run 400 metres in 66 seconds.
(a) Use this information to show that he could run 5 kilometres in less than 14 minutes.
(b) Hector tries to run 5 kilometres in less than 14 minutes.
Give one reason why he might not achieve this
3) Here is Mario’s answer to a question
Explain the error in Mario’s method.
Back
Card 4
Front
4) Here are the interest rates for two bank accounts
Northern Savings Bank (NSB)
2.5% per year
compound interest
Central Alliance Bank (CAB)
2.7% per year
simple interest
Mia puts £6400 in each account.
Calculate the difference in value between the two
Back
Card 5
Front
5) Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
Find the cost of one crayon
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