Question 1
LEVEL 3
Find the smallest number from the list below:
A: 2501
B: 2051
C: 2510
D: 2150
CORRECT ANSWER: B: 2051
WORKED SOLUTION:
Ordering large requires comparing digits in the same columns, starting with the digits furthest to the left.
Firstly, all four numbers have a 2 in the thousands column, so look at the next digit along.
The first number with the smallest value is a 0, so that means that 2051 is the smallest number.
ANSWER = 2051
Question 2
LEVEL 3
Find the smallest number from the list below:
A: 7.6
B: 7.3
C: 7.9
D: 7.0
CORRECT ANSWER: D: 7.0
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
Firstly, all four numbers have a 7 in the units column, so look at the next digit along.
This is the digit in the first decimal place. The first number with the smallest value is a 0, so that means that 7.0 is the smallest number.
ANSWER = 7.0
Question 3
LEVEL 3
Find the largest number from the list below:
A: 3.9
B: 4.2
C: 3.7
D: 3.5
CORRECT ANSWER: B: 4.2
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
In this case not all four numbers have the same value in the units column. Here 4 is greater than three, so that means that 4.2 is the largest number.
ANSWER = 4.2
Question 4
LEVEL 3
Order these numbers correctly from smallest to largest.
8.9, 7.3, 7.9, 8.0, 8.4
Select your answer from the list below:
A: 8.0, 7.3, 8.4, 7.9, 8.9
B: 7.3, 8.4, 7.9, 8.9, 8.0
C: 8.9, 7.3, 8.4, 7.9, 8.0
D: 7.3, 7.9, 8.0, 8.4, 8.9
CORRECT ANSWER: D: 7.3, 7.9, 8.0, 8.4, 8.9
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
Firstly, two of the numbers have a units value of 7 and three numbers have a units value of 8, so that means that 7.3 is the smallest number and 7.9 is the second smallest.
Then by considering the first decimal place of the three remaining numbers, the smallest value is a 0 then 4 then 9, so that means that order is 7.3, 7.9, 8.0, 8.4, 8.9 .
ANSWER = 7.3, 7.9, 8.0, 8.4, 8.9
Question 5
LEVEL 3
Order these numbers correctly from smallest to largest.
5.12, 4.092, 5.23, 5.01, 4.87
Select your answer from the list below:
A: 5.01, 4.092, 5.23, 4.87, 5.12
B: 4.092, 4.87, 5.01, 5.12, 5.23,
C: 5.12, 5.23, 4.092, 5.01, 4.87
D: 4.092, 5.12, 5.23, 4.87, 5.01
CORRECT ANSWER: B: 4.092, 4.87, 5.01, 5.12, 5.23,
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
ANSWER = B: 4.092, 4.87, 5.01, 5.12, 5.23,
Question 6
LEVEL 3
Order these numbers correctly from smallest to largest.
4.76, 5.32, 2.09, 6.73, 5.02
Select your answer from the list below:
A: 5.32, 5.02, 2.09, 4.76, 6.73
B: 2.09, 4.76, 5.02, 5.32, 6.73
C: 2.09, 5.32, 5.02, 4.76, 6.73
D: 5.32, 5.02, 2.09, 4.76, 6.73
CORRECT ANSWER: B: 2.09, 4.76, 5.02, 5.32, 6.73
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
Firstly, ordering by considering the units value, the order is 2, 4, 5, 5, 6
Then by considering the first decimal place, the smallest value is a 0 then 3 , so that means that order is B: 2.09, 4.76, 5.02, 5.32, 6.73 .
ANSWER = B: 2.09, 4.76, 5.02, 5.32, 6.73
Question 7
LEVEL 3
Order these numbers correctly from largest to smallest.
- 1.23, - 1.3, - 1.45, - 1.09, - 1.42
Select your answer from the list below:
A: - 1.09, - 1.23, - 1.3, - 1.45, - 1.42
B: - 1.3, - 1.45, - 1.09, - 1.42, - 1.23
C: - 1.23, - 1.3, - 1.45, - 1.09, - 1.42
D: - 1.09, - 1.23, - 1.3, - 1.42, - 1.45
CORRECT ANSWER: D: - 1.09, - 1.23, - 1.3, - 1.42, - 1.45
WORKED SOLUTION:
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left. Here we are ordering negative numbers, so the bigger the number after the minus sign, the smaller the number.
ANSWER = D: - 1.09, - 1.23, - 1.3, - 1.42, - 1.45
Question 8
LEVEL 3
Order these numbers correctly from largest to smallest.
\dfrac{1}{8}, \,\, 12\%, \,\, 0.128, \,\, \dfrac{13}{100}
Select your answer from the list below:
A: 12\%, \,\, \dfrac{1}{8}, \,\, 0.128, \,\, \dfrac{13}{100}
B: \dfrac{13}{100}, \,\, 0.128, \,\, \dfrac{1}{8}, \,\, 12\%
C: 12\%, \,\, 0.128, \,\, \dfrac{13}{100}, \,\, \dfrac{1}{8}
D: \dfrac{1}{8}, \,\, 12\%, \,\, 0.128, \,\, \dfrac{13}{100}
CORRECT ANSWER: B: \dfrac{13}{100}, \,\, 0.128, \,\, \dfrac{1}{8}, \,\, 12\%
WORKED SOLUTION:
We first need to convert all the numbers into the same type. It will be easier to compare if we turn them all into decimals.
So our list becomes 0.125, \,\, 0.120, \,\, 0.128, \,\, 0.130.
Ordering decimals requires comparing digits in the same columns, starting with the digits in the place value column that is furthest to the left.
ANSWER = B: \dfrac{13}{100}, \,\, 0.128, \,\, \dfrac{1}{8}, \,\, 12\%