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Rational Numbers Challenge

Total questions: 20

Worksheet time: 24mins

Name
Class
Date
1.

 Which of the following pairs of number consists of integer numbers?

a)

24 and -8.7

b)

-24 and   78\frac{7}{8}  

c)

24 and -87

d)

  14\frac{1}{4}  and 87

2.

 1.125 + 113 216 × (827)1.125\ +\ 1\frac{1}{3}\ -2\frac{1}{6}\ \times\ \left(-\frac{8}{27}\right)  

a)

 781\frac{7}{81}  

b)

3 65648\frac{65}{648}  

c)

1 1027\frac{10}{27}  

d)

1 529648\frac{529}{648}  

3.

 7(4+10)×2.4÷45=7\left(-4+10\right)\times2.4\div\frac{4}{5}=  

a)

 7(6)×3.07\left(-6\right)\times3.0  

b)

 42×2.4×4542\times2.4\times\frac{4}{5}  

c)

 42×2.4×5442\times2.4\times\frac{5}{4}  

d)

 42×3.0-42\times3.0  

4.

State the value of P.

a)

12-\frac{1}{2}

b)

12\frac{1}{2}

c)

25-\frac{2}{5}

d)

14\frac{1}{4}

5.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

decimals

d)

natural numbers

6.
A rational number can be written as a fraction.
a)
True
b)
False
7.
Which of these terms do not fit in the following sentence? "I ______ $100 in the bank. The integer is +100."
a)
lost
b)
deposited
c)
gained
d)
received
8.

A fish is swimming 7 m below the water's surface. A turtle is swimming 2 m below the water's surface. What is the difference in m where the fish and the turtle is?

a)

-9 m

b)

14 m

c)

5 m

d)

9 m

9.

Does the graphic organizer correctly group the numbers?

a)

Yes

b)

No

10.
Convert 0.35 to a fraction.
a)
35/99
b)
7/20
c)
3.5/100
d)
3/5
11.

Arrange in descending order:

[-8, 7, -6, 5, -4, 3, -2]

a)

-8, 7, -6, 5, -4, 3, -2

b)

7, 5, 3, -8, -6, -4, -2

c)

7, 5, 3, -2, -4, -6, -8

d)

-8, -6, -4, -2, 3, 5, 7

12.

Convert  25\frac{2}{5}  as a decimals.

a)

0.02

b)

0.04

c)

0.2

d)

0.4

13.
If you are at SEA LEVEL, you are at
______on a number line.  
a)
Positive
b)
Negative
c)
Zero
14.

Monday's temperature was -3°C and Tuesday's was -5°C. Which day was colder?

a)

neither they were equal

b)

Monday

c)

Tuesday

d)

Friday

15.

A group of friends are rock climbing. Mr. Wharton is 26.4 m above the ground. Mr. Hall is directly below Mr. Wharton at 14.1 m above the ground. How far apart are they?

a)

40.5 m

b)

12.3 m

c)

12.3 km

d)

40.5 km

16.

In his garden Tim plants a tomato seed  5145\frac{1}{4}   cm below the ground. After one month the tomato plant has grown a total of  111211\frac{1}{2}  cm. How many cm is the plant above the ground?
HINT: Find the difference.

a)

 634 cm6\frac{3}{4}\ cm  

b)

 612 cm6\frac{1}{2}\ cm  

c)

 614 cm6\frac{1}{4}\ cm  

d)

6 cm

17.

Jerry bought 6.95 kg of cherry and lime jelly beans for his birthday party. If 1.75 kg were cherry flavor, how many kilograms were lime flavor?

a)

5.2

b)

8.7

c)

9.7

d)

5.02

18.

Which of the following shows the numbers in increasing order?

a)

 14, 34, 15, 0.7-\frac{1}{4},\ -\frac{3}{4},\ \frac{1}{5},\ 0.7  

b)

 34, 14, 15, 0.7-\frac{3}{4},\ -\frac{1}{4},\ \frac{1}{5},\ 0.7  

c)

 14, 34, 0.7, 15-\frac{1}{4},\ -\frac{3}{4},\ 0.7,\ \frac{1}{5}  

d)

 34, 14, 0.7, 15-\frac{3}{4},\ -\frac{1}{4},\ 0.7,\ \frac{1}{5}  

19.

Puan Aimi needs 23\frac{2}{3} cup of sugar to make dahlia biscuits. She uses a tablespoon to measure. One tablespoon is equivalent to 13\frac{1}{3} of a cup. How many tablespoons of sugar does she use? 

a)

1

b)

2

c)

3

d)

4

20.
Classify the Number: -23
a)
Rational
b)
rational, integer
c)
integer
d)
rational, whole