Place Value and the Four Operations - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Place Value and the Four Operations revision guide

This topic is chapter 8 of KS2 Maths: Number and place value Practice Book.

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1.12 Place Value and the Four Operations

Calculators not allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write these numbers in words.

(a)6,304,219(1)

(b)10,005,007(1)

Find the value of x: x + 3,204 = 9,871. Then calculate 2x.

(a)Value of x(1)

(b)Calculate 2x(1)

Multiply 8,305 by 407. Show your method and give the final answer.

(2)

A factory makes 2,345 toys each day. How many toys does it make in 28 days? Show your working.

(3)

What is the digit in the ten thousands place of 7,902,345?

(1)

Sofia saves 1,250 each month. How much will she have saved after 3 years?

(2)

A library has 12,480 books. They put books into shelves holding 24 books each. How many shelves are needed to hold all the books? If the last shelf can be partly filled, state how many books go on that shelf.

(a)Number of shelves needed(1)

(b)Books on the last shelf(1)

Decrease 2,500,000 by 12%. Give your answer to the nearest whole number.

(2)

Explain which is larger and why: 5,600,000 + 45,000 or 5,645,000. Show your reasoning clearly.

(3)

Find the value of 1,234,567 ÷ 9 giving the integer quotient and the remainder.

(3)

Round 3,486,241 to the nearest 100,000. Then round the same number to the nearest 10,000.

(a)Nearest 100,000(1)

(b)Nearest 10,000(1)

Calculate 4,208, × 36 using long multiplication. Give your final answer.

(a)4,208 × 36(2)

Work out 9,504,321 minus 2,718,439.

(1)

A school orders 4,275 pencils. They pack pencils into boxes of 12. How many full boxes can they fill? How many pencils are left over?

(a)Number of full boxes(1)

(b)Pencils left over(1)

Explain why 0.75 of a million is 750,000. Show your reasoning.

(3)

Calculate 72,900 ÷ 15. Show any working.

(2)

A gardener plants 4 rows of trees. Each row will have 1,275 trees. How many trees are planted altogether?

(2)

Write 4,560,000 as a product of a single digit and a power of ten.

(1)

Mark scheme · 1.12 Place Value and the Four Operations

Question 1

(a) B1 six million, three hundred and four thousand, two hundred and nineteen cao
(a) Answer: six million, three hundred and four thousand, two hundred and nineteen
(b) B1 ten million, five thousand and seven cao
(b) Answer: ten million, five thousand and seven

Question 2

(a) B1 6,667 cao
(a) Answer: 6,667
(b) B1 13,334 cao
(b) Answer: 13,334

Question 3

M1 Correct method shown for long multiplication including multiplication by 400, 0, 7 or equivalent partitioning
B1 3,380,135 cao
Answer: 3,380,135

Question 4

M1 Shows multiplication method or partitioning, e.g. 2,345 × 20 and × 8
M1 Second correct intermediate step
B1 65,660 cao
Answer: 65,660

Question 5

B1 0 cao
Answer: 0

Question 6

M1 Shows 1,250 × 36 or equivalent calculation
B1 45,000 cao
Answer: 45,000

Question 7

(a) B1 520 cao
(a) Answer: 520
(b) B1 24 cao
(b) Answer: 24

Question 8

M1 Shows correct method to find 12% of 2,500,000 or finds 88% directly
B1 2,200,000 cao
Answer: 2,200,000

Question 9

M1 Shows calculation of 5,600,000 + 45,000 = 5,645,000 or an equivalent comparison
M1 Shows idea of comparing place values or recomputing the sum
B1 Correct conclusion that they are equal: 5,645,000 cao
Answer: 5,645,000

Question 10

M1 Shows correct division steps or a correct method to find quotient and remainder
M1 Shows correct intermediate result
B1 137,174 remainder 1 cao
Answer: 137,174 remainder 1

Question 11

(a) B1 3,500,000 cao
(a) Answer: 3,500,000
(b) B1 3,490,000 cao
(b) Answer: 3,490,000

Question 12

(a) M1 Correct long multiplication method shown (partial products) with one correct intermediate line
(a) B1 151,488 cao
(a) Answer: 151,488

Question 13

B1 6,785,882 cao
Answer: 6,785,882

Question 14

(a) B1 356 cao
(a) Answer: 356
(b) B1 3 cao
(b) Answer: 3

Question 15

M1 Shows multiplying 1,000,000 by 0.75 or converting 0.75 to 3/4 and applying to 1,000,000
M1 Shows correct intermediate calculation, e.g. 1,000,000 × 0.75 = 750,000 or 1,000,000 ÷ 4 = 250,000 then × 3
B1 Conclusion stated: 750,000 cao
Answer: 750,000

Question 16

M1 Correct long division or chunking method shown
B1 4,860 cao
Answer: 4,860

Question 17

M1 Shows multiplication method or repeated addition
B1 5,100 cao
Answer: 5,100

Question 18

B1 4.56 × 10⁶ or equivalent accepted, but must be in form single digit times power of ten
Answer: 4.56 × 10⁶

Place Value and the Four Operations - Worksheets, Questions and Revision

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1.12 Place Value and the Four Operations

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