Whole Numbers and Operations: Mathematics Darjah 5 questions

Section A: objective questions

8 marks

Choose the correct answer.

Which numeral is four hundred six thousand and thirty-five?

406 035
460 035
406 350
4 006 035

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406 thousand and 35: 4 hundred thousands, 0 ten thousands, 6 thousands, then 0 hundreds, 3 tens and 5 ones = 406 035.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 2

What is the digit value of 6 in 460 218?

600 000
60 000
6 000
600

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4 is in the hundred thousands place, so 6 is in the ten thousands place. Its digit value is 60 000.

For the teacher: Remembering, low difficulty, standard 1.1.2

Textbook p. 5

Which number is the smallest?

683 240
683 042
638 402
638 420

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All four numbers have 6 hundred thousands. Compare the ten thousands: 3 is less than 8, so the smallest is 638 402 or 638 420. These two have the same digits up to the hundreds, so compare the tens: 0 is less than 2. 638 402 is the smallest.

For the teacher: Applying, low difficulty, standard 1.1.2

Textbook p. 8

Which of these is a prime number?

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27 = 3 × 9, 39 = 3 × 13 and 49 = 7 × 7, so they can be divided by other numbers. 53 can only be divided by 1 and 53.

For the teacher: Understanding, low difficulty, standard 1.2.1

Textbook p. 10

Diagram 1 shows the first numbers of a number pattern. What is the next number?

Number boxes: 487 250, 487 150, 487 050 and an empty box — Diagram 1

487 950
486 950
476 950
487 150

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Each number is 100 less than the one before (487 250 − 487 150 = 100). So the next number is 487 050 − 100 = 486 950. The pattern is descending by hundreds.

For the teacher: Applying, low difficulty, standard 1.5.2

Textbook p. 13

Round off 648 507 to the nearest ten thousand.

640 000
600 000
650 000
649 000

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The digit to the right of the ten thousands place is 8 (the thousands digit). It is 5 or more, so add 1 to the 4: 650 000.

For the teacher: Applying, low difficulty, standard 1.4.1

Textbook p. 17

8 × 40 625 = ______

32 500
320 000
3 250 000
325 000

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8 × 40 000 = 320 000 and 8 × 625 = 5 000. 320 000 + 5 000 = 325 000.

For the teacher: Applying, low difficulty, standard 1.6.3

Textbook p. 29

(4 800 − 1 200) ÷ 12 = ______

300
4 700
30
3 000

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Brackets first: 4 800 − 1 200 = 3 600. Then 3 600 ÷ 12 = 300. (4 700 comes from dividing 1 200 by 12 first, which is wrong.)

For the teacher: Applying, low difficulty, standard 1.7.1

Textbook p. 49

Section B: structured questions

36 marks

Answer all questions. Show your working.

Write the numbers.

[1 mark] (a)Write 705 090 in words.

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seven hundred five thousand and ninety [1]1

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[1 mark] (b)Write two hundred nine thousand and forty-six in numerals.

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209 046 [1]1

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For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

A school hall has 408 296 bricks.

[1 mark] (a)Partition 408 296 based on place values.

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4 hundred thousands + 0 ten thousands + 8 thousands + 2 hundreds + 9 tens + 6 ones [1] (the 0 must be written)1

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[1 mark] (b)Partition 408 296 based on digit values.

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400 000 + 8 000 + 200 + 90 + 6 [1] (accept 400 000 + 0 + 8 000 + 200 + 90 + 6)1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 1.1.2

Textbook p. 5

Prime numbers.

[2 marks] (a)List all the prime numbers from 20 to 40.

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23 and 29 [1]1
31 and 37 [1]1

Tick each point you got.

[1 mark] (b)Is 51 a prime number?

YesNo

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51 can be divided by 3: 51 = 3 × 17.

For the teacher: Applying, low difficulty, standard 1.2.1

Textbook p. 10

Diagram 2 shows a number pattern.

Number boxes: 724 380, 714 380, 704 380, empty, 684 380, empty — Diagram 2

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

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704 380 − 10 000 = 694 380 [1]1
684 380 − 10 000 = 674 380 [1]1

Tick each point you got.

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

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Descending (decreasing) by ten thousands / −10 000 [1]1

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For the teacher: Applying, low difficulty, standard 1.5.2

Textbook p. 13

A fish farm harvested 457 392 kg of fish in a year.

[1 mark] (a)Round off 457 392 to the nearest ten thousand.

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460 000 (thousands digit 7, so 5 ten thousands becomes 6) [1]1

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[1 mark] (b)Round off 457 392 to the nearest hundred thousand.

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500 000 (ten thousands digit 5, so 4 becomes 5) [1]1

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For the teacher: Applying, low difficulty, standard 1.4.1

Textbook p. 17

Tanks P and Q are the same size. Tank P is full and has 120 000 litres of water. Tank Q is about three quarters full.

Tank P is full; tank Q is filled to about three quarters — Diagram 3

[1 mark] (a)Is the volume of water in tank Q more than or less than 120 000 litres?

More thanLess than

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Less than

Tank Q is not full, so it holds less water than tank P.

[1 mark] (b)Estimate the volume of water in tank Q.

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About 90 000 litres (three quarters of 120 000) [1] (accept 85 000 to 95 000)1

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For the teacher: Understanding, medium difficulty, standard 1.3.1

Textbook p. 14

A factory produced 248 635 tins in March and 316 478 tins in April.

[2 marks] (a)Find the total number of tins produced in the two months.

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248 635 + 316 478 [1]1
565 113 [1]1

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[2 marks] (b)How many more tins were produced in April than in March?

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316 478 − 248 635 [1]1
67 843 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 1.6.1

Textbook p. 19

Division.

[2 marks] (a)A company packs 543 210 pencils equally into 15 cartons. How many pencils are in one carton?

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543 210 ÷ 15 [1]1
36 214 [1]1

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[2 marks] (b)Divide 87 623 by 40. Give the quotient and the remainder.

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Quotient 2 190 [1]1
Remainder 23 [1] (check: 2 190 × 40 + 23 = 87 623)1

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For the teacher: Applying, medium difficulty, standard 1.6.4

Textbook p. 36

Puan Aini buys 6 tins of paint at RM48 each. She pays with a RM500 note.

[1 mark] (a)Write a number sentence to find her balance.

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RM500 − 6 × RM48 [1]1

Tick each point you got.

[2 marks] (b)How much is her balance?

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6 × 48 = 288 [1]1
RM500 − RM288 = RM212 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 1.7.1

Textbook p. 44

Encik Zain packs t sweets equally into 48 bags. Each bag has 275 sweets.

[1 mark] (a)Write a number sentence using t.

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t ÷ 48 = 275 [1]1

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[1 mark] (b)Find the value of t.

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t = 275 × 48 = 13 200 [1]1

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For the teacher: Applying, low difficulty, standard 1.8.2

Textbook p. 39

Diagram 4 shows the number of festival cards printed. Deepavali cards are 5 600 more than Hari Raya cards. Christmas cards are 14 300 more than Deepavali cards.

Three bars: Hari Raya 86 400; Deepavali 86 400 plus 5 600 more; Christmas 86 400 plus 5 600 plus 14 300 more — Diagram 4

[1 mark] (a)How many Deepavali cards were printed?

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86 400 + 5 600 = 92 000 [1]1

Tick each point you got.

[1 mark] (b)How many Christmas cards were printed?

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92 000 + 14 300 = 106 300 [1]1

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[2 marks] (c)Find the total number of the three kinds of cards.

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86 400 + 92 000 + 106 300 [1]1
284 700 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 1.9.2

Textbook p. 51

Ravi says: "502 600 − 98 700 = 513 900."

[1 mark] (a)Is Ravi correct?

YesNo

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A subtraction cannot give an answer larger than the number you start with.

[2 marks] (b)Explain how an estimate shows this, and give the correct answer.

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Estimate: 500 000 − 100 000 = 400 000, so the answer must be about 400 000 (and not more than 502 600) [1]1
Correct answer: 403 900 [1]1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 1.6.2

Textbook p. 25

Aina has the six number cards in Diagram 5. She uses all six cards to make six-digit numbers.

Number cards 4, 0, 8, 2, 6 and 0 — Diagram 5

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

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864 200 [1]1

Tick each point you got.

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

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200 468 (0 cannot be the first digit) [1]1

Tick each point you got.

For the teacher: Creating, high difficulty, standard 1.1.2

Textbook p. 9

Section A: objective questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Section B: structured questions

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21