wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Inverse Proportion, Foreign Exchange & Binary Operations

Total questions: 26

Worksheet time: 13mins

Name
Class
Date
1.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

a)

6

b)

12

c)

36

d)

48

2.

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

a)

32

b)

14

c)

36

d)

24

3.

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?

a)

35

b)

7

c)

28

d)

14

4.

8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field?

a)

48

b)

56

c)

36

d)

40

5.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

24

b)

32

c)

48

d)

36

6.

Suppose ab = 3a + 2b. Find 3 ♠ 2

a)

12

b)

13

c)

5

d)

6

7.

If

 ab=aba\cdot b=a^b  then  25=2\cdot5=  

a)

10

b)

25

c)

32

d)

52

8.

If  a Φ ba\ \Phi\ b  denotes  2ab2a^b   then  2Φ3=2\Phi3=  

a)

12

b)

16

c)

32

d)

64

9.

If  x Ω y= 2x+y + 6,x\ \Omega\ y=\ 2x+y\ +\ 6,  then  (1) Ω 2\left(-1\right)\ \Omega\ 2  is 


a)

6

b)

8

c)

9

d)

10

10.

If  x Ω y= 2x+y + 6,x\ \Omega\ y=\ 2x+y\ +\ 6,  then  (1) Ω 2\left(-1\right)\ \Omega\ 2  is 


a)

6

b)

8

c)

9

d)

10

11.

If  x  y=x+y2x\ \parallel\ y=x+y^2  , what is the value of  2  (2  3)2\ \parallel\ \left(2\ \parallel\ 3\right)  ?

a)

11

b)

13

c)

85

d)

123

12.

If m * n denotes m + 5n. Evaluate 3 * (1 * 2).

a)

26

b)

58

c)

32

d)

11

13.

If One Australian Dollar is equivalent to 0.73 U.S. Dollars, then 75 Australian Dollars is equivalent to...

a)

$54.75 in U.S.

b)

$0.01 in U.S.

c)

$50 in U.S.

d)

$102.74 in U.S.

14.

If one U.S. Dollar is equivalent to 106 Japanese Yen, then 20 U.S. Dollars is equivalent to...

a)

0.19 Japanese Yen

b)

5.3 Japanese Yen

c)

126 Japanese Yen

d)

2120 Japanese Yen

15.

If 1 Canadian Dollar is equal to 0.64 Euros, then 800 Euros is equal to how many Canadian Dollars?

a)

512

b)

1250

c)

.0008

d)

790

16.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

24

b)

32

c)

48

d)

36

17.

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

18.

Given that  a Ψ ba\ \Psi\ b denotes  a + 2bab\frac{a\ +\ 2b}{ab} , then  (3) Ψ 2=\left(-3\right)\ \Psi\ 2=  

a)

 16-\frac{1}{6}  

b)

 78-\frac{7}{8}  

c)

 16\frac{1}{6}  

d)

 78\frac{7}{8}  

19.

What is an exchange rate?

a)

The rate at which goods are exchanged between two countries

b)

The price of one nation's currency in terms of another's

c)

How many US dollars you can exchange for RMB at Travelex

d)

The price of goods in terms of a foreign currency

20.

If the exchange rate is £1 = $1.25 USD, what is $2250 USD equivalent to in £ pounds?

a)

£1800

b)

£2813

c)

£2250

d)

None of the answers

e)

£1700

21.

If the exchange rate is £1 = $1.25 USD, how much does $1 USD equal in £ pounds?

a)

£0.80

b)

£0.85

c)

£0.75

d)

£1.25

e)

None of the answers

22.

If after coming back from America you have 500 USD left and you want to convert the 500 USD to JMD. How much will you get? (1 UDS = 152 JMD)

a)

500 x 152

b)

500 /152

c)

152 /500

d)

152 x 1

23.

If  a  ba\ \cdot\ b  denotes  aba + b\frac{ab}{a\ +\ b}  then  2  6 =2\ \cdot\ 6\ =  


a)

 134\frac{13}{4}  

b)

 32\frac{3}{2}  

c)

 23\frac{2}{3}  

d)

 13\frac{1}{3}  

24.

An operation is defined by  a @ b =  5a3b\sqrt{5a-3b} . State the value of 4 @ 2. 

a)

 14\sqrt{14}  

b)

 2\sqrt{2}  

c)

 4a2b\sqrt{4a-2b}  

d)

 2\sqrt{-2}  

25.

An operation is defined by pq=4pq2qp\perp q=4pq^2-q  . Calculate the value of  2(3)2\perp\left(-3\right) .

a)

69

b)

-27

c)

75

d)

27

26.

If a ¥ b = ab\frac{a}{b}  ,  find 10 ¥ 2

a)

0.2

b)

8

c)

12

d)

5