Ks3 Mathematics 10-4-10 Level 5 Answer Booklet Page 19
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31DAY 6
Piles of cards
A teacher has a large pile of cards. An expression for the total number of
6 + 8
n
cards is 6n + 8
(a)
The teacher puts the cards in two piles.
The number of cards in the first pile is 2n + 3
?
2n + 3
first pile
second pile
Write an expression to show the number of cards in the second pile.
6n – 2n = 4n 8 – 3 = 5 so 4n +5
1 mark
(b)
The teacher puts all the cards together.
6
n
+ 8
Then he uses them to make two equal piles.
?
?
Write an expression to show the number of cards in one of the piles.
6n + 8
3n + 4
3n + 4
1 mark
+
1 mark
(c) The teacher puts all the cards together again then he uses them to make two piles. There are 23 cards in
the first pile.
Step 2
Step 1
23 cards
? cards
If n = 20 then
You need to find
5n = 5 x 20 =
5n + 5
the value of n.
n + 3
n + 3 is 23
100
n is 20
then +5 = 105
first pile
second pile
How many cards are in the second pile?
Show your working.
n + 3 = 23 n = 20
Substitute into 5n + 5
Answer 105
5 x 20 + 5 = 100 + 5
2 marks
19
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