Systematic Listing
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Either paper 2 marks
A stir-fry is made with three different vegetables. The vegetables are chosen from
- carrot (c) - broccoli (b) - pepper (p) - onion (o)
List all the possible options for the three vegetables.
One option has been done for you: \(c b p\)
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Either paper 4 marks
Here are four cards. Each card shows a digit.
\(7,\ 6,\ 9,\ 5\)
Grace chooses two of the cards and puts them side by side to make a two-digit number.
(a)Calculate how many different two-digit numbers she can make.
(b)List all the even two-digit numbers she can make.
(c)State the largest two-digit number she can make.
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Either paper 3 marksHere are the subjects available in Year 12 at a school.
Students choose three subjects. They cannot choose more than one subject from a block. Grace decides to study Maths. Grace decides not to study any of these subjects:Block 1 Block 2 Block 3 Block 4 Maths Geography English Spanish History Drama Physics Biology French Chemistry Computing Art - Drama
- English
- Physics
- Spanish
- Art
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Either paper 3 marks
Put the whole numbers 2 to 13 into the boxes to make the calculations correct.
Only use each number once.
\(\square + \square + \square = 19\)
\(\square + \square + \square = 9\)
\(\square + \square + \square = 36\)
\(\square + \square + \square = 26\)
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Either paper 3 marksThe numbers 1 to 12 are put in a grid. Six of the numbers are shown. The letters A to F stand for the six numbers that are missing.
Each of the four sides of the grid must add up to 29. Complete the grid using the numbers 1, 2, 3, 4, 6, 9. Use each of them once, and give the number that each letter stands for.11 8 A B C 5 10 D E 7 F 12 -
Either paper 6 marks
A shop sells ice creams. Each ice cream has two scoops.
The flavours are peach (p), orange (o), vanilla (v) and coffee (c).
The two scoops can be the same flavour or different flavours.
(a)List all the possible options for the two scoops. The order of the scoops does not matter.
One option, vv, has been written in for you.
(b) In one day the shop sells 144 scoops of ice cream. The table shows the number of scoops of each flavour.
A pie chart is to be drawn to show the data. Work out the angle, in degrees, that stands for one scoop.Flavour Number of scoops Peach 64 Orange 20 Vanilla 24 Coffee 36 (c)The sector for peach has been drawn. The marks round the circle are \(10^\circ\) apart.
Complete the pie chart to show the data in the table in part (b).
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Either paper 2 marks
Rosa has six banknotes.
The value of each banknote is £10, £20 or £50.
She can make £60 using four of the banknotes.
She can make £70 using three of the banknotes.
She cannot make £50 using any four of the banknotes.
She cannot make £130 using any four of the banknotes.
List the values of the six banknotes.
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Either paper 2 marksIn a game, three stars are hidden on this board. Each star is behind a different square.
The stars are behind three consecutive squares. The squares are in one row or one column. One of the squares is b2. It is shaded on the board. Write down all the possible pairs for the other two squares.a b c d e 1 2 3 4 -
Either paper 3 marks
A code has five different digits.
Each digit is a whole number that is at least \(1\) and less than \(8\).
The digits are written in order, starting with the smallest.
The fourth digit is the only multiple of 3.
The first digit is the only square number.
Work out the code.
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Either paper 3 marks
Erin has a 6-digit code.
Erin remembers it as three 2-digit numbers written side by side.
The first number is between 11 and 21.
The second number is 6 times the first number.
The third number is 5 times the first number.
All six digits are different.
Work out the code.
- \(b p o\), \(c p o\), \(c b o\), \(c b p\), in any order
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(a) \(12\)
(b) \(56,\ 76,\ 96\)
(c) \(97\) -
Subject 1 Subject 2 Subject 3 Maths Geography Computing Maths Chemistry Computing Maths Geography Biology Maths Chemistry Biology Maths Computing Biology - \(5 + 6 + 8 = 19\); \(2 + 3 + 4 = 9\); \(11 + 12 + 13 = 36\); \(7 + 9 + 10 = 26\) (the three numbers in each calculation may be in any order)
- A = 1, B = 9, C = 2, D = 3, E = 6, F = 4
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(a) all 10 options, in any order and either way round: pp, po, pv, pc, oo, ov, oc, vv, vc, cc
(b) \(2.5\)
(c) Sectors of \(50^\circ\) for orange, \(60^\circ\) for vanilla and \(90^\circ\) for coffee, in any order round the chart(c) - £10, £10, £20, £20, £20, £50 (in any order)
- (a2, c2), (c2, d2), (b1, b3), (b3, b4)
- \(12567\)
- \(137865\)
Takes a couple of seconds the first time a sheet is made.