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Maths · Grade 6 · Set B
Words Into Letters
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B
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Goal: 15 min
Score/ 13
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 12 more than c?
12cc − 12c + 12
2
Which one says 5 less than n?
5 − nn − 5n + 5
3
Which one says 20 divided by b?
20 ÷ bb ÷ 2020b
4
z − 3 means 3 more than z.
TrueFalse
5
If n is 9, then 5 less than n is .
6
The table follows the rule 3x. What number goes in the empty box?
7
What rule do the rows of the table follow?
x + 32x + 24x
8
Join each phrase to its expression.
  1. 1the sum of w and 6
  2. 2the difference of w and 6
  3. 36 groups of w
  4. 4w shared by 6
  • Aw − 6
  • B6w
  • Cw ÷ 6
  • Dw + 6

Use a letter in a story

9
The tape has one part of y and one part of 8. Which expression tells how long the whole tape is?
8yy + 8y − 8
10
Each bag holds b marbles. Lin has 6 bags and 3 loose marbles. Which expression tells how many marbles Lin has?
6 + b + 39b6b + 3
11
3k and k + k + k mean the same thing.
TrueFalse
12
Which one says: subtract 4 from 15, then triple it?
3 × (15 − 4)3 × 15 − 43 + 15 − 4
13
If w is 20, then w ÷ 4 is .
14
Write "twice a number, plus one" using the letter n. Then try it with n = 4.
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Answer key · Set B
Words Into Letters
1c + 12 More than means add: c + 12.
2n − 5 Less than means take away from n: n − 5. Try n = 9: 5 less than 9 is 4, and 9 − 5 = 4.
320 ÷ b Say it in the order of the words: 20, then divided by, then b.
4False z − 3 is 3 less than z. Three more than z is z + 3.
54 5 less than 9 is 9 − 5 = 4.
621 x is 7, so 3x is 3 × 7 = 21.
7x + 3 1 → 4, 3 → 6, 5 → 8. Each number is 3 more than x. The rule 2x + 2 fits 1 → 4 but not 3 → 6.
81-D, 2-A, 3-B, 4-C Sum adds, difference subtracts, groups multiply and shared by divides.
9y + 8 The whole tape is the two parts joined: y + 8.
106b + 3 6 bags with b marbles in each is 6b. Then add the 3 loose marbles: 6b + 3.
11True Three parts of k is 3 × k, which is the same as k + k + k.
123 × (15 − 4) The tripling comes after the subtracting, so the subtracting goes inside the brackets.
135 20 ÷ 4 = 5.
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.