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Maths · Grade 6 · Set B
One Step: Set B
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B
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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 + 7 = 12. What is x?
2
Pip had some marbles. A friend gave Pip 6 more. Now Pip has 17. How many marbles did Pip have at first?
3
Which equation fits this tape?
n + 5 = 14n − 5 = 145n = 14n + 14 = 5
4
The tape shows 3x = 18. Three equal parts make 18. What is x?
5
What undoes subtracting 9?
subtract 9 againdivide by 9add 9multiply by 9
6
To solve x − 4 = 10, you add 4 to both sides.
TrueFalse

Fractions and decimals

7
x + 2/7 = 6/7. The bar shows 6/7. What is x?
8
x + 3.6 = 8.2. What is x?
9
A rope 15.6 meters long is cut into 6 equal pieces. How many meters long is each piece?
10
The 3 shaded parts of the bar together are worth 12. How much is the whole bar, all 5 parts?

Match, check and stretch

11
Join each equation to its solution.
  1. 1x + 4 = 9
  2. 2x − 4 = 9
  3. 34x = 12
  4. 4x ÷ 4 = 3
  • Ax = 5
  • Bx = 13
  • Cx = 12
  • Dx = 3
12
Mia had some ribbon. She cut off 1/4 meter. Now 5/8 meter is left. How many meters did she have at first? The dot marks 5/8.
13
Check that x = 13 works in x − 9 = 4. Write how you know the two sides balance.
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Answer key · Set B
One Step: Set B
15 Take 7 away from both sides: 12 − 7 = 5.
211 Undo adding 6 by taking away 6: 17 − 6 = 11.
3n + 5 = 14 The two parts, n and 5, add to the whole, 14.
46 Divide both sides by 3: 18 ÷ 3 = 6.
5add 9 Adding the same number undoes taking it away. Do it to both sides.
6True Adding 4 undoes subtracting 4: x = 10 + 4 = 14.
74/7 Take 2/7 away from both sides: 6/7 − 2/7 = 4/7.
84.6 Subtract 3.6 from both sides: 8.2 − 3.6 = 4.6.
92.6 Divide by 6: 15.6 ÷ 6 = 2.6.
1020 3 parts are 12, so 1 part is 4. All 5 parts are 5 × 4 = 20.
111-A, 2-B, 3-D, 4-C Do the opposite step to both sides: subtract 4, add 4, divide by 4, multiply by 4.
127/8 Add 1/4, which is 2/8, to 5/8: 5/8 + 2/8 = 7/8.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.