9a Maths - Number Topic Revision Quiz
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
Correct Answer
C. Rational, terminating decimalExplanation
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.Rate this question:
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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
Correct Answer
D. 3 rational and 4 irrational numbersExplanation
The first, second and fourth numbers in the list are rational whereas the rest are not.Rate this question:
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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
Correct Answer
E. 5/9Explanation
Let x = 0.555555555...
Let 10x = 5.5555555...
10x - x = 5.55555555..-0.55555555...
9x = 5
therefore x = 5/9Rate this question:
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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
Correct Answer
B. 122/99Explanation
Let x = 1.232323232323...
100x = 123.2323232323...
100x - x = 123.232323232323...-1.2323232323...
99x = 122
x = 122/99Rate this question:
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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
Correct Answer
E. 2.75Explanation
All digits in the original number are significant, therefore it simply needs to be rounded to 3 digits (2 decimal places)Rate this question:
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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
Correct Answer
D. 12.2Explanation
All digits in the original number are significant, therefore it simply needs to be rounded to 3 digits (1 decimal place)Rate this question:
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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....
Correct Answer
C. 952Explanation
To one significant figure, the sum would look like this:
1000 - 200 /2 x 0.5 + 2
Follow BODMAS: 952Rate this question:
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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
Correct Answer
D. -9.76E-4Explanation
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")Rate this question:
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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
Correct Answer
E. 8.61E8Explanation
Move decimal point 8 places to the left, so multiply 8.61 by 10 to the power of 8.Rate this question:
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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
Correct Answer
A. 1.39E3Explanation
First evaluate what is under the square root sign, then write that answer (1390)in scientific notation.Rate this question:
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- 11.
8! is equal to:
- A.
64
- B.
5! + 3!
- C.
40320
- D.
720
- E.
16777216
Correct Answer
C. 40320Explanation
8! = 8x7x6x5x4x3x2x1 = 40320Rate this question:
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- 12.
7! / 2! is equal to:
- A.
7x6x5x4x3
- B.
84
- C.
120
- D.
(7x6) / (5x4x3x2x1)
- E.
3.5!
Correct Answer
A. 7x6x5x4x3Explanation
7!/2! = (7x6x5x4x3x2x1)/(2x1) cancel out common values = 7x6x5x4x3Rate this question:
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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
Correct Answer
B. 6720Explanation
8 objects (n = 8), choosing 5 colours (r = 5)
nPr = 8P5 = 6720Rate this question:
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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
Correct Answer
C. 17 576 000Explanation
Multiply the possibilities:
letters: 26 x 26 x 26 x 10 x 10 x 10 = 17 576 000Rate this question:
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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
Correct Answer
B. 6 344 000Explanation
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 000Rate this question:
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Mar 21, 2023Quiz Edited by
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Feb 22, 2010Quiz Created by
Almonr
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