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Maths · Grade 6 · Set A
A Letter Stands for a Number
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A
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Goal: 15 min
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Remember: A letter holds the place of a number, so the same steps work for any number.

Say it with a letter

1
Which one says 6 more than x?
x + 6x − 66x
2
Which one says 8 less than t?
8 − tt − 8t + 8
3
Which one says w divided by 8?
8w8 ÷ ww ÷ 8
4
x + 4 means 4 less than x.
TrueFalse
5
If t is 10, then 8 less than t is .
6
The table follows the rule x + 5. What number goes in the empty box?
7
What rule do the rows of the table follow?
x + 23xx ÷ 3
8
Join each phrase to its expression.
  1. 15 more than n
  2. 25 less than n
  3. 35 times n
  4. 4n divided by 5
  • An − 5
  • B5n
  • Cn ÷ 5
  • Dn + 5
9
Each box holds s stickers. Mia has 7 boxes. Which expression tells how many stickers Mia has?
s + 77ss ÷ 7
10
Each part of the tape is s. Which expression tells how long the whole tape is?
4ss + 4s ÷ 4
11
The letter n can stand for any number.
TrueFalse
12
Which one says: add 12 and 9, then double it?
2 + 12 + 92 × 12 + 92 × (12 + 9)
13
Write 9 more than k, using the letter k:
14
Choose a number for t. Write what 8 less than t is for your number, and then write it using t.
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Answer key · Set A
A Letter Stands for a Number
1x + 6 More than means add: x + 6.
2t − 8 Less than means take away, and t is the number we start with: t − 8. Try t = 10: 8 less than 10 is 2, and 10 − 8 = 2.
3w ÷ 8 Say it in the order of the words: w, then divided by, then 8.
4False x + 4 is 4 more than x. Four less than x is x − 4.
52 8 less than 10 is 10 − 8 = 2.
611 x is 6, so x + 5 is 6 + 5 = 11.
73x 1 → 3, 2 → 6, 4 → 12. Each number is 3 times x.
81-D, 2-A, 3-B, 4-C More than adds, less than subtracts, times multiplies and divided by divides.
97s 7 boxes with s stickers in each is 7 groups of s, which is 7s.
104s The tape is 4 equal parts of s: 4 × s = 4s.
11True A letter holds the place of a number. Change the number and the same steps still work.
122 × (12 + 9) The doubling comes after the adding, so the adding goes inside the brackets.
13k+9 More than means add: k + 9, or 9 + k.
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.