Whole Numbers and Operations: Mathematics Darjah 6 questions

Section A: objective questions

10 marks

Choose the correct answer.

Which numeral is five million sixty thousand four hundred and nine?

5 600 409
5 060 409
5 006 409
50 060 409

Show answerHide answer

5 millions, 0 hundred thousands, 6 ten thousands, 0 thousands, 4 hundreds, 0 tens and 9 ones = 5 060 409.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

What is the digit value of 3 in 8 035 214?

3 000 000
300 000
3 000
30 000

Show answerHide answer

The 3 is in the ten thousands place (8 | 0 | 3 | 5 | 2 | 1 | 4), so its digit value is 30 000.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

Convert 2.35 million to a whole number.

2 350 000
235 000
2 035 000
23 500 000

Show answerHide answer

2.35 × 1 000 000 = 2 350 000.

For the teacher: Understanding, low difficulty, standard 1.1.5

Textbook p. 11

Diagram 1 shows a number line. Each small step is 0.1 million. What is the value of P as a whole number?

Number line from 2 million to 3 million in 10 steps, point P at the sixth mark after 2 million — Diagram 1

2 060 000
2 006 000
2 600 000
2 500 000

Show answerHide answer

P is 6 steps after 2 million: 2 + 6 × 0.1 = 2.6 million = 2 600 000.

For the teacher: Understanding, medium difficulty, standard 1.1.4

Textbook p. 9

1 250 000 + 0.75 million = ______

1 325 000
2 000 000
1 257 500
2 500 000

Show answerHide answer

0.75 million = 750 000. 1 250 000 + 750 000 = 2 000 000.

For the teacher: Applying, medium difficulty, standard 1.2.1

Textbook p. 16

Calculate 8 × 0.45 million. Give the answer as a whole number.

360 000
36 000 000
3 060 000
3 600 000

Show answerHide answer

8 × 0.45 = 3.6, so the answer is 3.6 million = 3 600 000.

For the teacher: Applying, low difficulty, standard 1.2.1

Textbook p. 23

The number pattern is 4 120 500, 4 320 500, 4 520 500, 4 720 500, ... Which statement is true?

Ascending order by two hundred thousands
Ascending order by two thousands
Descending order by two hundred thousands
Ascending order by twenty thousands

Show answerHide answer

4 320 500 − 4 120 500 = 200 000. The numbers get bigger, so the pattern is ascending by two hundred thousands.

For the teacher: Understanding, low difficulty, standard 1.1.2

Textbook p. 5

(9.6 million − 4 000 000) ÷ 8 = ______

1 200 000
70 000
700 000
7 000 000

Show answerHide answer

Brackets first: 9 600 000 − 4 000 000 = 5 600 000. Then 5 600 000 ÷ 8 = 700 000.

For the teacher: Applying, medium difficulty, standard 1.2.1

Textbook p. 34

Which of these is a prime number?

Show answerHide answer

51 = 3 × 17, 57 = 3 × 19 and 63 = 7 × 9 are composite. 59 can be divided only by 1 and 59.

For the teacher: Understanding, medium difficulty, standard 1.3.1

Textbook p. 43

k + 3 × 0.2 million = 1.1 million. What is the value of k?

0.9 million
0.5 million
0.3 million
0.6 million

Show answerHide answer

Multiply first: 3 × 0.2 million = 0.6 million. k = 1.1 million − 0.6 million = 0.5 million.

For the teacher: Analysing, high difficulty, standard 1.2.1

Textbook p. 38

Section B: structured questions

35 marks

Answer all questions. Show your working.

Write the numbers.

[1 mark] (a)Write 6 070 308 in words.

Show answerHide answer

six million seventy thousand three hundred and eight [1]1

Tick each point you got.

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

Show answerHide answer

9 205 040 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 1.1.1

Textbook p. 3

Study the number 4 906 215.

[1 mark] (a)What is the digit value of the digit 4?

Show answerHide answer

4 000 000 [1]1

Tick each point you got.

[1 mark] (b)Partition the number by digit value.

Show answerHide answer

4 000 000 + 900 000 + 6 000 + 200 + 10 + 5 [1] (0 in the ten thousands place may be left out)1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 1.1.1

Textbook p. 3

Diagram 2 shows a number pattern.

Diagram 2

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

Show answerHide answer

3 410 120 + 2 500 = 3 412 620 [1]1
3 415 120 + 2 500 = 3 417 620 [1]1

Tick each point you got.

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

Show answerHide answer

Ascending order by two thousand five hundreds / increasing by 2 500 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 1.1.2

Textbook p. 5

Complete each conversion.

[1 mark] (a)0.8 million = ______ (whole number)

Show answerHide answer

800 000 [1]1

Tick each point you got.

[1 mark] (b)2¼ million = ______ (whole number)

Show answerHide answer

2.25 million = 2 250 000 [1]1

Tick each point you got.

[1 mark] (c)4 500 000 = ______ (decimal of a million)

Show answerHide answer

4.5 million [1]1

Tick each point you got.

[1 mark] (d)1 750 000 = ______ (fraction of a million, simplest form)

Show answerHide answer

1¾ million [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 1.1.5

Textbook p. 13

The table shows the population of three towns.

Town	Population
Bandar Jaya	1 205 340
Seri Muda	0.93 million
Tanjung Baru	2³⁄₁₀ million

[2 marks] (a)Find the total population of the three towns. Give the answer as a whole number.

Show answerHide answer

0.93 million = 930 000 and 2³⁄₁₀ million = 2 300 000 [1]1
1 205 340 + 930 000 + 2 300 000 = 4 435 340 [1]1

Tick each point you got.

[2 marks] (b)How many more people live in the largest town than in the smallest town?

Show answerHide answer

Largest 2 300 000, smallest 930 000 [1]1
2 300 000 − 930 000 = 1 370 000 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 1.2.1

Textbook p. 15

Calculate.

[2 marks] (a)5.2 million − 3 × 0.9 million. Give the answer in decimal of a million.

Show answerHide answer

3 × 0.9 million = 2.7 million [1]1
5.2 million − 2.7 million = 2.5 million [1]1

Tick each point you got.

[2 marks] (b)(1.8 million + 2⅕ million) ÷ 8. Give the answer as a whole number.

Show answerHide answer

1.8 million + 2.2 million = 4 million [1]1
4 000 000 ÷ 8 = 500 000 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 1.2.1

Textbook p. 32

Find the value of the unknown.

[2 marks] (a)p − 0.35 million = 1.2 million. Give p as a whole number.

Show answerHide answer

p = 1.2 million + 0.35 million [1]1
p = 1.55 million = 1 550 000 [1]1

Tick each point you got.

[2 marks] (b)(m + 0.04 million) × 5 = 400 000

Show answerHide answer

m + 40 000 = 400 000 ÷ 5 = 80 000 [1]1
m = 80 000 − 40 000 = 40 000 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 1.2.1

Textbook p. 40

Diagram 3 shows six number cards.

Six number cards: 29, 37, 45, 49, 51, 61 — Diagram 3

[1 mark] (a)Write all the prime numbers on the cards.

Show answerHide answer

29, 37 and 61 [1]1

Tick each point you got.

[2 marks] (b)Aina takes a composite number and Raj takes a prime number. The difference between their numbers is 14. What number does Aina take?

Show answerHide answer

Composite cards: 45, 49, 51; prime cards: 29, 37, 61 [1]1
51 − 37 = 14, so Aina takes 51 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 1.4.1

Textbook p. 46

Siti says: "1³⁄₅ million is 1 350 000, because ³⁄₅ is 35."

[1 mark] (a)Is Siti correct?

YesNo

Show answerHide answer

⅗ is 0.6, not 0.35.

[2 marks] (b)Explain her mistake and give the correct whole number.

Show answerHide answer

³⁄₅ = 0.6 (she wrote the numerator and denominator side by side) [1]1
1.6 million = 1 600 000 [1]1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 1.1.5

Textbook p. 11

A factory made 3.6 million pencils. The pencils were packed equally into 90 boxes.

[1 mark] (a)How many pencils are in one box?

Show answerHide answer

3 600 000 ÷ 90 = 40 000 [1]1

Tick each point you got.

[1 mark] (b)A school bought 7 boxes. How many pencils did the school buy?

Show answerHide answer

7 × 40 000 = 280 000 [1]1

Tick each point you got.

[1 mark] (c)The school then received another 0.15 million pencils as a gift. How many pencils does the school have now?

Show answerHide answer

280 000 + 150 000 = 430 000 [1]1

Tick each point you got.

For the teacher: Applying, high difficulty, standard 1.4.1

Textbook p. 48

Amir has seven digit cards. He uses all seven cards to make seven-digit numbers. A number cannot start with 0.

Digit cards 4, 0, 7, 3, 8, 5 and 1 — Diagram 4

[1 mark] (a)What is the largest number he can make?

Show answerHide answer

8 754 310 [1]1

Tick each point you got.

[1 mark] (b)What is the smallest number he can make?

Show answerHide answer

1 034 578 [1]1

Tick each point you got.

[1 mark] (c)What is the smallest odd number he can make?

Show answerHide answer

1 034 587 (ones digit must be odd; keep the other digits as small as possible) [1]1

Tick each point you got.

For the teacher: Creating, high difficulty, standard 1.1.1

Textbook p. 3

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