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Integers and Place Value Practice Problems with Solutions - IGCSE Year 7

IGCSE Year 7 | Math | Integers and Place Value
Name: _________________________ Date: _________________________ Score: _______ / 40

In 5,708,329 the digit 7 stands for 700,000 and −8 is the smallest integer listed, so this Year 7 sheet opens with place value and negative ordering. The key also records −24 for a multiplication and −12 for an addition of negatives.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. What is the value of the digit 7 in the number 5,708,329?
(a) 7,000(b) 700(c) 700,000(d) 70,000
2. Which of these is the smallest integer?
(a) -8(b) 0(c) 3(d) -1
3. Work out 245 + 678.
(a) 913(b) 923(c) 903(d) 823
4. Work out 4 × (-6).
(a) 24(b) -24(c) -10(d) 10
5. Work out -7 - 5.
(a) -12(b) -2(c) 12(d) 2
6. Round 3,847 to the nearest hundred.
(a) 3,800(b) 3,900(c) 3,840(d) 4,000

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. What is the place value of the digit 5 in the number 2,501,346?
8. Write the number two million, four hundred thousand and six in digits.
9. Work out (-12) ÷ (-3).
10. Work out -8 + 15.
11. Write down all the integers between -5 and 2, excluding -5 and 2.
12. Arrange these integers in order, smallest first: -4, 3, 0, -9, 7.
13. Work out 6 - 9 + 4.
14. Round 6,482 to the nearest ten.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. A shop sold 1,285 drinks in January and 1,974 drinks in February. How many drinks were sold altogether?
16. A factory makes 3,600 boxes each day. How many boxes does it make in 7 days?
17. The temperature at noon was 8°C and it fell to -5°C by midnight. Find the change in temperature.
18. A company lost 1,250 dollars in year one and gained 3,800 dollars in year two. Find the overall profit.
19. A warehouse stores 24,000 boxes packed equally onto 300 shelves. How many boxes are on each shelf?
20. An elevator starts at floor 6, goes up 9 floors, then goes down 14 floors. Which floor is it on now?

Answer Key

1. c) 700,000
2. a) -8
3. b) 923
4. b) -24
5. a) -12
6. a) 3,800
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
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11. Refer to solution guide.
12. Refer to solution guide.
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19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

What is the value of the digit 7 in 5,708,329?

700,000, option (c) in this worksheet (Q1).

Which of these is the smallest integer?

−8, option (a) in this worksheet (Q2).

What is 3 × (−8)?

−24, option (b) in this worksheet (Q4).

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