# 9a Maths - Number Topic Revision Quiz

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| By Almonr
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Quizzes Created: 1 | Total Attempts: 316
Questions: 15 | Attempts: 316

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Complete this quiz to test your knowledge on rational / irrational numbers, decimals and fractions, significant figures, scientific notation and factorials and permutations.

• 1.

### The number 0.373 is a type of:

• A.

Rational, recurring decimal

• B.

Irrational, recurring decimal

• C.

Rational, terminating decimal

• D.

Irrational, terminating decimal

• E.

irrational, terminating recurring decimal

C. Rational, terminating decimal
Explanation
A rational number has a fractional equivalent(it cannot be infinite and non-recurring).
Terminating means that it has a finite number of decimal places.

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• 2.

### Consider the following list of numbers: In this list there are:

• A.

5 rational and 2 irrational numbers

• B.

2 rational and 5 irrational numbers

• C.

4 rational and 3 irrational numbers

• D.

3 rational and 4 irrational numbers

• E.

1 rational and 6 irrational numbers

D. 3 rational and 4 irrational numbers
Explanation
The first, second and fourth numbers in the list are rational whereas the rest are not.

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• 3.

### as a fraction in its simplest form is:

• A.

55/99

• B.

55/100

• C.

55/90

• D.

11/18

• E.

5/9

E. 5/9
Explanation
Let x = 0.555555555...
Let 10x = 5.5555555...

10x - x = 5.55555555..-0.55555555...
9x = 5

therefore x = 5/9

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• 4.

### As a fraction in its simplest form is:

• A.

123/100

• B.

122/99

• C.

123/10

• D.

1 and 23/100

• E.

1 and 22/100

B. 122/99
Explanation
Let x = 1.232323232323...
100x = 123.2323232323...

100x - x = 123.232323232323...-1.2323232323...

99x = 122

x = 122/99

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• 5.

### The number 2.746 written to three significant figures is:

• A.

3

• B.

2.7

• C.

2.8

• D.

2.74

• E.

2.75

E. 2.75
Explanation
All digits in the original number are significant, therefore it simply needs to be rounded to 3 digits (2 decimal places)

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• 6.

### 12.157 66  rounded correctly to 3 significant figures is:

• A.

12.157

• B.

12.158

• C.

10.0

• D.

12.2

• E.

12.1

D. 12.2
Explanation
All digits in the original number are significant, therefore it simply needs to be rounded to 3 digits (1 decimal place)

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• 7.

### The value of 1240 – 240 ÷ 2.4 x 0.5 + 1.9 found by first rounding each value to one significant figure is:

• A.

1191.9

• B.

1000

• C.

952

• D.

902

• E.

210.2333333333333....

C. 952
Explanation
To one significant figure, the sum would look like this:
1000 - 200 /2 x 0.5 + 2

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• 8.

### The number –0.000976 in scientific notation is:

• A.

–0.976E4

• B.

–97.6E-4

• C.

9.76E-4

• D.

-9.76E-4

• E.

-9.76E4

D. -9.76E-4
Explanation
Move the decimal point to create a number between 1 and 10.
Then multiply that number by 10 to a power to show the magnitude
ie. move the decimal point 4 places, making the number bigger, so multiply by 10 to the power of -4 (E represents "10 to the power of")

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• 9.

### 861 000 000 written in standard form (in scientific notation) is:

• A.

8.6E8

• B.

86.1E7

• C.

8.61E-8

• D.

0.861E10

• E.

8.61E8

E. 8.61E8
Explanation
Move decimal point 8 places to the left, so multiply 8.61 by 10 to the power of 8.

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• 10.

### written in scientific notation is:

• A.

1.39E3

• B.

1391.6508

• C.

1.39E-3

• D.

1.94E6

• E.

1.39 x 1000

A. 1.39E3
Explanation
First evaluate what is under the square root sign, then write that answer (1390)in scientific notation.

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• 11.

### 8! is equal to:

• A.

64

• B.

5! + 3!

• C.

40320

• D.

720

• E.

16777216

C. 40320
Explanation
8! = 8x7x6x5x4x3x2x1 = 40320

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• 12.

### 7! / 2! is equal to:

• A.

7x6x5x4x3

• B.

84

• C.

120

• D.

(7x6) / (5x4x3x2x1)

• E.

3.5!

A. 7x6x5x4x3
Explanation
7!/2! = (7x6x5x4x3x2x1)/(2x1) cancel out common values = 7x6x5x4x3

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• 13.

### A painter is to paint the five circles of the Olympic flag. He cannot remember the colours touse for any of the circles, but he knows they should all be different. He has 8 paint colours to choose from, how many arrangements of 5 colours can he possibly have?

• A.

336

• B.

6720

• C.

An unlimited number

• D.

25

• E.

40

B. 6720
Explanation
8 objects (n = 8), choosing 5 colours (r = 5)
nPr = 8P5 = 6720

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• 14.

### Standard Victorian number plates for cars are generally made up of 3 letters and then 3 numbers. How many different number plates can be made given that there are no restrictions on letter or digit arrangements?

• A.

676 000

• B.

468 000

• C.

17 576 000

• D.

26! + 10!

• E.

82

C. 17 576 000
Explanation
Multiply the possibilities:
letters: 26 x 26 x 26 x 10 x 10 x 10 = 17 576 000

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• 15.

### Refer to the previous question. By how many will the number of possible number plates decrease if no letters or numbers can be repeated?

• A.

11 232 000

• B.

6 344 000

• C.

675 997

• D.

408 000

• E.

165 765 600

B. 6 344 000
Explanation
With no restrictions there are 17 576 000 possible arrangements. With restrictions there are 26 x 25 x 24 x 10 x 9 x 8 = 11 232 000 arrangements.
The decrease is 17 576 000 - 11 232 000 = 6 344 000

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Feb 22, 2010
Quiz Created by
Almonr

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