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Maths · Grade 6 · Set A
One Step to the Answer
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Goal: 15 min
Score/ 12
Remember: Undo the one operation, and do the same to both sides.

Undo one step

1
The tape shows x + 9 = 15. What is x? Answer:
2
Mia had some stickers. She got 8 more. Now she has 20. How many did she have at first? Answer:
3
Which equation fits this tape?
n − 6 = 136n = 13n + 6 = 13n + 13 = 6
4
The tape shows 4x = 20. Four equal parts make 20. What is x? Answer:
5
What undoes adding 11?
add 11 againsubtract 11multiply by 11divide by 11
6
To solve x ÷ 3 = 4, you divide both sides by 3.
TrueFalse

Fractions and decimals

7
x + 1/9 = 5/9. The bar shows 5/9. What is x? Answer:
8
x + 4.8 = 5.1. What is x? Answer:
9
A ribbon 20.7 meters long is cut into 9 equal pieces. How many meters long is each piece? Answer:
10
The 5 shaded parts of the bar together are worth 10. How much is the whole bar, all 8 parts? Answer:

Match, check and stretch

11
Join each equation to the step that solves it.
  1. 1x + 7 = 12
  2. 2x − 7 = 12
  3. 37x = 14
  4. 4x ÷ 7 = 2
  • Asubtract 7 from both sides
  • Bmultiply both sides by 7
  • Cdivide both sides by 7
  • Dadd 7 to both sides
12
Leo had some ribbon. He bought 1/2 meter more. Now he has 7/8 meter. How many meters did he have at first? The dot marks 7/8. Answer:
13
Check that x = 5 works in x + 11 = 16. Write how you know the two sides balance.
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Answer key · Set A
One Step to the Answer
16 Take 9 away from both sides: 15 − 9 = 6.
212 Undo adding 8 by taking away 8: 20 − 8 = 12.
3n + 6 = 13 The two parts, n and 6, add to the whole, 13.
45 Divide both sides by 4: 20 ÷ 4 = 5.
5subtract 11 Subtracting the same number undoes adding it. Do it to both sides.
6False x ÷ 3 is undone by multiplying by 3. Multiply both sides: x = 12.
74/9 Take 1/9 away from both sides: 5/9 − 1/9 = 4/9.
80.3 Subtract 4.8 from both sides: 5.1 − 4.8 = 0.3.
92.3 Divide by 9: 20.7 ÷ 9 = 2.3.
1016 5 parts are 10, so 1 part is 2. All 8 parts are 8 × 2 = 16.
111-A, 2-D, 3-C, 4-B Do the opposite step, to both sides.
123/8 Subtract 1/2, which is 4/8, from 7/8: 7/8 − 4/8 = 3/8.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.