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KS2 · Calculation

KS2.M-Y5N3 Multiplication and Division: Formal Written Methods

Calculators not allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Multiply 48 by 6.

(2)

A baker packs 125 cupcakes into boxes of 5. How many boxes does he need?

(2)

Work out 276 × 4 using formal written multiplication.

(2)

A teacher orders 38 packs of coloured pencils. Each pack contains 12 pencils. How many pencils are there in total?

(2)

Multiply 1,203 by 7. Show your method.

(3)

Divide 961 by 3. Write the quotient and the remainder if there is one.

(2)

A garden centre packs bulbs into bags of 9. They have 2,517 bulbs. How many full bags can they make and how many bulbs are left over?

(2)

Work out 324 × 26. Show your working clearly.

(2)

A school needs 3,745 crayons. Crayons come in boxes of 24. How many boxes must the school order to have at least 3,745 crayons?

(3)

Multiply 5,006 by 3.

(2)

A charity packs tins into crates of 18. They have 14,976 tins. How many full crates can they fill?

(2)

Work out 2,315 × 14. Show your method.

(2)

A coach holds 53 passengers. How many coaches do you need to carry 2,965 people? Show how you decided.

(2)

Explain your answer: Is 4,032 divisible by 8? Show working to support your answer.

(3)

Work out 789 × 32 showing the columns or partitioning you use.

(2)

Divide 7,204 by 6. Give the quotient and remainder if any.

(2)

Explain your answer: If 256 activity packs are shared equally between 9 classes, will there be any packs left over? Show how you know.

(3)

A factory makes 4,125 widgets each day. How many widgets are made in 37 days? Show your method.

(3)

Mark scheme · KS2.M-Y5N3 Multiplication and Division: Formal Written Methods

Question 1

M1 Correct short multiplication method or partitioning (48 x 6 = (40+8) x 6) seen
A1 288 cao
Answer: 288

Question 2

M1 Correct division method shown (125 ÷ 5) or grouping into fives
A1 25 cao
Answer: 25

Question 3

M1 Correct column multiplication shown (276 x 4) or equivalent partitioning
A1 1,104 cao
Answer: 1104

Question 4

M1 Correct multiplication method shown (38 x 12 or 38 x (10+2) )
A1 456 cao
Answer: 456

Question 5

M1 Correct column multiplication steps shown with at most one arithmetic error
M1 Correct handling of any carries seen
A1 8,421 cao
Answer: 8421

Question 6

M1 Correct short division method shown (961 ÷ 3) or chunking
A1 320 r1 cao
Answer: 320 r1

Question 7

M1 Correct division method shown (2,517 ÷ 9) or repeated subtraction
A1 279 r6 cao
Answer: 279 r6

Question 8

M1 Correct partitioning or long multiplication steps (324 x 26 shown)
A1 8,424 cao
Answer: 8424

Question 9

M1 Correct division or ceiling method shown (3,745 ÷ 24) and rounding up if necessary
M1 Correct calculation to find smallest whole number of boxes
A1 157 cao
Answer: 157

Question 10

M1 Correct short multiplication method or partitioning seen
A1 15,018 cao
Answer: 15018

Question 11

M1 Correct division method shown (14,976 ÷ 18) or grouping
A1 832 cao
Answer: 832

Question 12

M1 Correct long multiplication or partitioning shown (2,315 x 14)
A1 32,410 cao
Answer: 32410

Question 13

M1 Correct division and recognition to round up (2,965 ÷ 53)
A1 56 cao
Answer: 56

Question 14

M1 Shows a correct divisibility check for 8 (last three digits 032 or dividing last three digits by 8) or performs short division
A1 Correct result that 4,032 ÷ 8 = 504 or equivalent cao
A1 A clear statement that 4,032 is divisible by 8, with supporting working oe
Answer: Yes. 4,032 ÷ 8 = 504

Question 15

M1 Correct long multiplication or partitioning (789 x (30+2)) shown
A1 25,248 cao
Answer: 25248

Question 16

M1 Correct short division or chunking shown (7,204 ÷ 6)
A1 1,200 r4 cao
Answer: 1200 r4

Question 17

M1 Correct division attempt (256 ÷ 9) or use of digital sum reasoning to find remainder
A1 Quotient 28 and remainder 4 or equivalent shown (28 r4)
A1 Clear statement that 4 packs would be left over with supporting working
Answer: 28 r4

Question 18

M1 Correct long multiplication or partitioning shown (4,125 x 37 or x (30+7))
M1 Correct addition of partial products
A1 152,625 cao
Answer: 152625

Multiplication and Division: Formal Written Methods - Worksheets, Questions and Revision