Numbers and Operations: Mathematics Darjah 4 questions

Section A: objective questions

10 marks

Choose the correct answer.

Which numeral is sixty-eight thousand and fifty-four?

68 054
68 540
6 854
680 054

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68 thousands, 0 hundreds, 5 tens and 4 ones = 68 054. 68 540 has 5 hundreds.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

What is the digit value of 4 in 54 218?

4
400
4 000
40 000

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5 is in the ten thousands place and 4 is in the thousands place, so the digit value of 4 is 4 000.

For the teacher: Remembering, low difficulty, standard 1.1.2

Textbook p. 4

70 000 + 600 + 30 + 2 = ______

76 032
70 632
7 632
706 032

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7 ten thousands, 0 thousands, 6 hundreds, 3 tens and 2 ones = 70 632.

For the teacher: Understanding, low difficulty, standard 1.1.2

Textbook p. 4

Which number is the largest?

45 109
45 091
44 910
45 190

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44 910 is smaller because its thousands digit is 4. The others have 5 thousands. Compare the hundreds: 45 190 and 45 109 have 1 hundred, and 45 091 has 0. Then the tens: 9 tens is more than 0 tens, so 45 190 is the largest.

For the teacher: Applying, medium difficulty, standard 1.1.2

Textbook p. 8

Which of these is an odd number?

18 460
52 917
30 076
66 604

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An odd number ends in 1, 3, 5, 7 or 9. Only 52 917 ends in 7.

For the teacher: Remembering, low difficulty, standard 1.2.1

Textbook p. 9

Diagram 1 shows a number line. What is the value of P?

Number line: 45 000, 45 200, 45 400, P, 45 800, 46 000 — Diagram 1

45 500
45 700
45 600
46 600

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The numbers go up in 200s: 45 000, 45 200, 45 400, 45 600, 45 800. So P = 45 600.

For the teacher: Applying, low difficulty, standard 1.5.1

Textbook p. 12

Round off 67 450 to the nearest thousand.

67 000
68 000
67 500
70 000

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The hundreds digit is 4, so the thousands digit stays the same and the other digits become 0: 67 000.

For the teacher: Applying, low difficulty, standard 1.4.1

Textbook p. 15

Which number becomes 50 000 when rounded off to the nearest ten thousand?

44 900
55 100
56 300
45 200

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Numbers from 45 000 to 54 999 become 50 000. 44 900 becomes 40 000, and 55 100 and 56 300 become 60 000.

For the teacher: Applying, medium difficulty, standard 1.4.1

Textbook p. 17

23 508 + 4 096 + 987 = ______

28 481
28 691
28 591
27 591

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23 508 + 4 096 = 27 604, and 27 604 + 987 = 28 591. Estimate: 24 000 + 4 000 + 1 000 = 29 000, which is close.

For the teacher: Applying, medium difficulty, standard 1.6.1

Textbook p. 19

7 308 ÷ 12 = ______

69
609
690
6 090

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12 × 600 = 7 200, and 7 308 − 7 200 = 108 = 12 × 9. So the answer is 609. Check: 609 × 12 = 7 308.

For the teacher: Applying, medium difficulty, standard 1.6.5

Textbook p. 41

Section B: structured questions

35 marks

Answer all questions. Show your working.

Write the numbers.

[1 mark] (a)Write 50 813 in words.

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fifty thousand eight hundred and thirteen [1]1

Tick each point you got.

[1 mark] (b)Write twenty-eight thousand and fifty in numerals.

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28 050 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

A stadium sold 73 480 tickets.

[1 mark] (a)What is the place value of the digit 7?

ten thousandsthousandshundredstens

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ten thousands

7 is the first digit of a five-digit number, so it is in the ten thousands place.

[1 mark] (b)What is the digit value of 3?

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3 000 [1]1

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[1 mark] (c)Partition 73 480 based on digit value.

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70 000 + 3 000 + 400 + 80 [1] (accept + 0)1

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For the teacher: Understanding, low difficulty, standard 1.1.2

Textbook p. 4

Look at the numbers from 3 996 to 4 006.

[2 marks] (a)List all the odd numbers.

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Any four correct odd numbers from 3 997, 3 999, 4 001, 4 003, 4 005 [1]1
All five, with none extra [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 1.2.2

Textbook p. 10

Diagram 2 shows a number pattern.

Diagram 2

[2 marks] (a)Fill in the two empty boxes.

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60 350 − 100 = 60 250 [1]1
60 150 − 100 = 60 050 [1]1

Tick each point you got.

[1 mark] (b)State the number pattern.

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Decreasing by hundreds / decreases by 100 [1]1

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For the teacher: Applying, low difficulty, standard 1.5.1

Textbook p. 12

46 280 people came to a carnival. Diagram 3 shows 46 280 on a number line.

Number line from 40 000 to 50 000 with 46 280 marked — Diagram 3

[1 mark] (a)Round off 46 280 to the nearest thousand.

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46 000 (hundreds digit 2) [1]1

Tick each point you got.

[1 mark] (b)Round off 46 280 to the nearest ten thousand.

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50 000 (thousands digit 6, add 1 to the ten thousands) [1]1

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For the teacher: Applying, low difficulty, standard 1.4.1

Textbook p. 15

The table shows the number of visitors to a science centre over three days.

Day	Friday	Saturday	Sunday
Number of visitors	12 485	17 306	8 940

[1 mark] (a)How many visitors came on Friday and Saturday?

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12 485 + 17 306 = 29 791 [1]1

Tick each point you got.

[1 mark] (b)How many more visitors came on Saturday than on Sunday?

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17 306 − 8 940 = 8 366 [1]1

Tick each point you got.

[2 marks] (c)Estimate the total number of visitors for the three days by rounding off each number to the nearest thousand. Then find the actual total.

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12 000 + 17 000 + 9 000 = 38 000 [1]1
12 485 + 17 306 + 8 940 = 38 731, which is near 38 000 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 1.6.3

Textbook p. 26

A shop sells pens in packets.

[1 mark] (a)A factory makes 125 boxes of pens. Each box holds 1 000 pens. How many pens are there?

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125 × 1 000 = 125 000 [1]1

Tick each point you got.

[2 marks] (b)There are 48 packets in a carton. A shop buys 36 cartons. How many packets does it buy?

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48 × 6 = 288 and 48 × 30 = 1 440 [1]1
288 + 1 440 = 1 728 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 1.6.4

Textbook p. 34

A bakery packs 9 560 buns into boxes. Each box holds 24 buns.

[1 mark] (a)How many boxes are filled?

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9 560 ÷ 24 = 398 [1]1

Tick each point you got.

[1 mark] (b)How many buns are left over?

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8 [1]1

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[1 mark] (c)Show how to check your answer.

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398 × 24 = 9 552; 9 552 + 8 = 9 560 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 1.6.5

Textbook p. 42

Find the value of each unknown.

[1 mark] (a)m + 47 = 91

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m = 91 − 47 = 44 [1]1

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[1 mark] (b)n − 38 = 52

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n = 52 + 38 = 90 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 1.8.2

Textbook p. 27

A factory makes 24 000 bottles in the morning and 18 750 bottles in the afternoon. 9 750 bottles are rejected. The other bottles are packed equally into cartons of 12.

[1 mark] (a)How many bottles were made in the whole day?

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24 000 + 18 750 = 42 750 [1]1

Tick each point you got.

[1 mark] (b)How many bottles were not rejected?

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42 750 − 9 750 = 33 000 [1]1

Tick each point you got.

[2 marks] (c)How many cartons are needed?

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33 000 ÷ 12 [1]1
2 750 [1]1

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For the teacher: Analysing, medium difficulty, standard 1.9.1

Textbook p. 52

Farid says: "45 000 rounded off to the nearest ten thousand is 40 000, because 45 000 is nearer to 40 000."

[1 mark] (a)Is Farid correct?

YesNo

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45 000 is exactly in the middle of 40 000 and 50 000.

[2 marks] (b)Explain your answer and give the correct answer.

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45 000 is in the middle of 40 000 and 50 000, and the middle value is rounded off to the larger number [1]1
Correct answer: 50 000 [1]1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 1.4.1

Textbook p. 16

Hana has five number cards. She uses all five cards to make five-digit numbers.

Number cards 6, 0, 3, 8 and 5 — Diagram 4

[1 mark] (a)Make the largest number.

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86 530 [1]1

Tick each point you got.

[1 mark] (b)Make the smallest number.

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30 568 (0 cannot be the first digit) [1]1

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[2 marks] (c)Make an odd number between 60 000 and 70 000. Write it in numerals and in words.

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An odd number starting with 6 and ending in 3 or 5, e.g. 60 853, 60 835, 60 583 [1]1
Matching words, e.g. sixty thousand eight hundred and fifty-three [1]1

Tick each point you got.

For the teacher: Creating, high difficulty, standard 1.1.2

Textbook p. 8

Section A: objective questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Section B: structured questions

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22