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Maths · Grade 6 · Set C
One Step: Set C
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C
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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
A jug holds 1 liter when it is full. It has some water in it. Then 3/8 liter more fills it. How many liters were in the jug at first?
2
x − 4.5 = 3.25. What is x?
3
4 × ? = 4.16. What number goes in the gap?
4
Ava pours 4 liters of water equally into 3 cups. How many liters are in each cup? Write a fraction.
5
3/4 × ? = 9. What number goes in the gap?
6
Which step solves x ÷ 5 = 7?
divide both sides by 5subtract 5 from both sidesmultiply both sides by 5add 5 to both sides

Equations in stories

7
Which equation fits this tape?
x + 5 = 35x ÷ 5 = 35x − 5 = 355x = 35
8
A school bought some books. Then 48 more arrived. Now there are 125. How many were there at first?
9
The solution of x ÷ 6 = 9 is 54.
TrueFalse
10
Twelve pens cost $9.60 in all, and each pen costs the same. How many dollars does one pen cost?

Match, check and stretch

11
Join each equation to its solution.
  1. 1x + 9 = 20
  2. 2x − 9 = 20
  3. 39x = 36
  4. 4x ÷ 9 = 4
  • A11
  • B29
  • C36
  • D4
12
Number the steps to solve x − 6 = 15.
  • Undo it: add 6 to both sides
  • Work it out: 15 + 6 = 21
  • Spot the operation: 6 is taken away
  • Check: 21 − 6 = 15
13
Sensei solved x + 12 = 30 and wrote x = 42. Write how you know he is wrong, and the right answer.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.
Answer key · Set C
One Step: Set C
15/8 x + 3/8 = 1. Take 3/8 away from both sides: 1 − 3/8 = 5/8.
27.75 Add 4.5 to both sides: 3.25 + 4.5 = 7.75.
31.04 Divide both sides by 4: 4.16 ÷ 4 = 1.04.
44/3 4 ÷ 3 = 4/3. Each cup holds 1 and 1/3 liters.
512 Divide both sides by 3/4, which is the same as multiplying by 4/3: 9 × 4/3 = 12.
6multiply both sides by 5 Multiplying by 5 undoes dividing by 5: x = 7 × 5 = 35.
75x = 35 Five equal parts of x make 35, so 5x = 35.
877 Undo adding 48 by taking away 48: 125 − 48 = 77.
9True Multiply both sides by 6: x = 9 × 6 = 54.
100.8 12p = 9.6. Divide both sides by 12: 9.6 ÷ 12 = 0.8, which is 80 cents.
111-A, 2-B, 3-D, 4-C Do the opposite step to both sides.
122, 3, 1, 4 Undo, work it out, then check.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.