Multiply Multi-Digit Numbers Up to 4 Digits by a Two-Digit Whole Number Using Long Multiplication
Divide Numbers Up to 4 Digits by a Two-Digit Whole Number Using the Formal Written Method of Long Division, and Interpret Remainders
Common Factors, Multiples, and Prime Numbers
Order of Operations
Solve Problems Involving All Four Operations
100

3245 × 37

120,065

100

5809 ÷ 47 (using short division)

123 remainder 28

100

What are the common factors of 36 and 60?

1, 2, 3, 4, 6, 12

100

6 + 3 × 4

Answer: 18
(Multiplication first: 3 × 4 = 12, then add 6)

100

A farmer sells 45 eggs at £3 per dozen. How much money does he make in total?

£11.25
(45 ÷ 12 = 3.75 dozen, then 3.75 × £3 = £11.25)

200

4572 × 86

393,192

200

Divide 3894 by 32 using long division. Express the remainder as a whole number.

121 remainder 22

200

List the first 5 common multiples of 6 and 8.

24, 48, 72, 96, 120

200

(10 + 5) × 6 ÷ 2

Answer: 45
(First: 10 + 5 = 15, then: 15 × 6 = 90, and finally: 90 ÷ 2 = 45)

200

You bought 15 packs of pens, each containing 24 pens, for a total of £360. How much does each pack of pens cost?

£24
(£360 ÷ 15 = £24 per pack)

300

A company produces 2456 items each month. How many items does it produce in 25 months?

61,400 items

300

7624 ÷ 28

272 remainder 8

300

Find the highest common factor (HCF) of 42 and 56.

14

300

24 ÷ (8 - 2) × 3

Answer: 12
(First: 8 - 2 = 6, then: 24 ÷ 6 = 4, and finally: 4 × 3 = 12)

300

A school library has 1256 books. If 124 books are borrowed and 59 are returned, how many books are in the library now?

1191 books
(1256 - 124 + 59 = 1191)

400

A factory produces 2,345 chocolate bars each day. They need to calculate how many chocolate bars they will produce in 24 days.
How many chocolate bars will the factory produce in total over the 24 days?

The factory will produce 56,280 chocolate bars in 24 days.

400

A shipment of 3128 apples is divided equally among 45 stores. How many apples does each store get, and how many are left over?

69 apples per store, with 23 apples left over.

400

Is 47 a prime number?

Yes, 47 is a prime number because it only has two factors: 1 and 47.

400

15 + (12 ÷ 3 × 2)

Answer: 23
(First: 12 ÷ 3 = 4, then: 4 × 2 = 8, and finally: 15 + 8 = 23)

400

A baker needs 324 cupcakes for a party. If each tray holds 12 cupcakes, how many trays will be needed?

27 trays
(324 ÷ 12 = 27)

500

A concert hall has 3,765 seats. Each ticket for a concert costs £48. For one of the concerts, they sold all of the tickets, and they also sold 1,250 t-shirts for £15 each.
How much money did the concert hall make in total from selling all the tickets and the t-shirts?

The concert hall made £199,470 in total from the ticket and t-shirt sales.

500

A baker makes 3642 cupcakes and needs to divide them into 54 boxes. How many cupcakes go into each box, and how many are left over?

67 cupcakes per box, with 30 cupcakes left over.

500

What are the prime factors of 72?

2 × 2 × 2 × 3 × 3

500

30 - (5 × 4) + 10

Answer: 20
(First: 5 × 4 = 20, then: 30 - 20 = 10, and finally: 10 + 10 = 20)

500

If a company buys 345 chairs at £52 each, what is the total cost?

£17,940
(345 × £52 = £17,940)

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