9a Maths - Number Topic Revision Quiz

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1. The number 0.373 is a type of:

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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About This Quiz
9a Maths - Number Topic Revision Quiz - Quiz

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

2. The number 2.746 written to three significant figures is:

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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3. 8! is equal to:

Explanation

8! = 8x7x6x5x4x3x2x1 = 40320

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4. 12.157 66  rounded correctly to 3 significant figures is:

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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5. 7! / 2! is equal to:

Explanation

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

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6. 861 000 000 written in standard form (in scientific notation) is:

Explanation

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

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7. as a fraction in its simplest form is:

Explanation

Let x = 1.232323232323...
100x = 123.2323232323...

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

99x = 122

x = 122/99

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8. 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?

Explanation

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

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9.     as a fraction in its simplest form is:

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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10. The number –0.000976 in scientific notation is:

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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11.  written in scientific notation is:

Explanation

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

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12. Consider the following list of numbers:   In this list there are:

Explanation

The first, second and fourth numbers in the list are rational whereas the rest are not.

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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?

Explanation

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

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

Explanation

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

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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?

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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The number 0.373 is a type of:
The number 2.746 written to three significant figures is:
8! is equal to:
12.157 66  rounded correctly to 3 significant figures is:
7! / 2! is equal to:
861 000 000 written in standard form (in scientific notation) is:
As a fraction in its simplest form is:
Standard Victorian number plates for cars are generally made up of 3...
    as a fraction in its simplest form is:
The number –0.000976 in scientific notation is:
 written in scientific notation is:
Consider the following list of numbers: ...
A painter is to paint the five circles of the Olympic flag. He cannot...
The value of 1240 – 240 ÷ 2.4 x 0.5 + 1.9 found by first...
Refer to the previous question. By how many will the number of...
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