Question 1(a): [1 mark]

Write numbers in increasing order starting with the smallest.

1.1010.111.100.01

 

Answer type: Multiple answers type 1

ANSWER:

Smallest: 0.01

 

0.11

 

1.10

 

Largest: 1.101

 

 

Question 1(b): [1 mark]

Write numbers in decreasing order starting with the largest.

1.0451.4454.1155.4110.1445

 

Answer type: Multiple answers type 1

ANSWER:

Largest: 5.411

 

4.115

 

1.445

 

1.045

 

Smallest: 0.1445

 

 

Question 1(c): [1 mark]

Write numbers in increasing order starting with the smallest.

1001011010100011110011011

 

Answer type: Multiple answers type 1

ANSWER:

Smallest: 10001

 

10010

 

11010

 

11011

 

Largest: 11100

 


 

Question 2(a): [1 mark]

Which of the following is correctly sequenced from smallest to largest?

 

Answer type: Multiple choice type 2

A: 0, \, 0.1, \, 0.02, \, 0.003

B: -4.3, \, -4.3, \, 2.8, \, 5

C: \dfrac{6}{7}, \, 0.7, \, 0.9, \, \dfrac{10}{7}

D: \dfrac{7}{8}, \, \dfrac{11}{12}, \, \dfrac{16}{17}, \, \dfrac{18}{19}

 

ANSWER: D: \dfrac{7}{8}, \, \dfrac{11}{12}, \, \dfrac{16}{17}, \, \dfrac{18}{19}

 

 

Question 2(b): [1 mark]

Which of the following can complete the sequence showing largest to smallest ?

\dfrac{3}{4}, \, 0.3, \, -1.8, \, \_\_ , \, - \dfrac{8}{3}

 

 

Answer type: Multiple choice type 1

A: - \dfrac{3}{2}

B: - \dfrac{9}{4}

C: - 2\, \dfrac{5}{6}

D: - 1.09

 

ANSWER: B: - \dfrac{9}{4}

 

 

Question 2(c): [1 mark]

Choose the greatest decimal from the options below?

 

Answer type: Multiple choice type 1

A: 6.9

B: - 7.8999

C: 8.065

D: 8.059

 

ANSWER: C: 8.065

 


 

Question 3: [1 mark]

Order these fractions in terms of size, starting with the largest.

a =\dfrac{3}{8}, \, b = \dfrac{2}{3}, \, c = \dfrac{5}{6}, \, d = \dfrac{3}{12}

Write the corresponding letters.

 

Answer type: Multiple answers type 1

ANSWER:

Largest: c

 

b

 

a

 

Smallest: d

 

WORKING:

a = \dfrac{9}{24}, b = \dfrac{16}{24}, c = \dfrac{20}{24}, d = \dfrac{6}{24}

 


 

Question 4: [1 mark]

Order these numbers in terms of size, starting with the smallest, given that x is a positive integer greater than 2.

a = 3x, \, b = 2x, \, c = \dfrac{1}{x}, \, d = x

Write the corresponding letters.

 

Answer type: Multiple answers type 1

ANSWER:

Smallest: c

 

d

 

b

 

Largest: a

 


 

Question 5:

Here are six numbers:

0.67, \, \dfrac{4}{5}, \, \dfrac{1}{2}, \, \dfrac{7}{7}, \, 0.81, \, \dfrac{2}{3}

 

Question 5(a): [1 mark]

Three of them are greater than \dfrac{3}{4}, select these numbers.

 

Answer type: Multiple choice type 1

A: 0.67

B: \dfrac{4}{5}

C: \dfrac{1}{2}

D: \dfrac{7}{7}

E: 0.81

F: \dfrac{2}{3}

 

ANSWER: B: \dfrac{4}{5}, D: \dfrac{7}{7}, E: 0.81

WORKING: \dfrac{3}{4} = 0.75

 

A: 0.67

B: \dfrac{4}{5} = 0.8

C: \dfrac{1}{2} = 0.5

D: \dfrac{7}{7} = 1

E: 0.81

F: \dfrac{2}{3} = 0.666...

 

 

Question 5(b): [1 mark]

Which of these three is the smallest number?

 

Answer type: Multiple choice type 1

A: \dfrac{4}{5}

B: \dfrac{7}{7}

C: 0.81

 

ANSWER: A: \dfrac{4}{5}

WORKING:

A: \dfrac{4}{5} = 0.8

B: \dfrac{7}{7} = 1

C: 0.81

 


 

Question 6:

Here are six numbers:

a = 42 \%, \, b = \dfrac{3}{6}, \, c = \dfrac{3}{9}, \, d = - 1.27, \, e = 0.55, \, f = \dfrac{2}{10}

 

Question 6(a): [1 mark]

Order the numbers from least to most, by writing the corresponding letter.

 

Answer type: Multiple answers type 1

ANSWER:

Least: d

 

f

 

c

 

a

 

b

 

Most: e

 

WORKING:

a = 0.42, b = 0.5, c = 0.333..., d = -1.27, e = 0.55, f = 0.2

 

 

Question 6(b): [1 mark]

Choose the correct number that would be the second largest number in the list above.

 

Answer type: Multiple choice type 1

A: 0.43

B: 0.48

C: 0.53

D: 0.56

 

ANSWER: C: 0.53

 

 

Question 6(c): [1 mark]

The number 0.3 is added to the list of numbers. What would be the position of 0.3 in the new list?

 

Answer type: Multiple choice type 1

A: 2nd

B: 3rd

C: 4th

D: 5th

 

ANSWER: B: 3rd