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Post-Test (Financial Maths and Real Numbers)

Total questions: 30

Worksheet time: 8hrs 30mins

Name
Class
Date
1.

Use your real name to complete the trial test.

a)

Yes

b)

Yes

2.

Which of of the following correctly converts 20% to a decimal and then a fraction.

a)

0.02; \frac{1}{5}

b)

0.2; 15\frac{1}{5}

c)

0.2; 12\frac{1}{2}

d)

0.22; 2100\frac{2}{100}

3.

Convert 0.3 to a fraction. Enter your result. For example, enter 2/5 for 2 over 5.

(a)  

4.

Convert the  14\frac{1}{4}  into a percentage. Enter your result. For example, enter 10% for ten percent.

(a)  

5.

Convert  18\frac{1}{8}  into a decimal. Enter your result. For example, enter 0.21 for 'zero point one two'.

(a)  

6.

Which of the following shows the correct solutions?

A.  23×69\frac{2}{3}\times\frac{6}{9}  
B.  59×12\frac{5}{9}\times12  

a)

A. 49\frac{4}{9}   B.  203\frac{20}{3}  

b)

A. 812\frac{8}{12}  B.  203\frac{20}{3}  

c)

A. \frac{4}{9}   B.  179\frac{17}{9}  

d)

A. 23\frac{2}{3}   B.  598\frac{5}{98}  

7.

Evaluate  78÷1413\frac{7}{8}\div\frac{14}{13}  
Enter your result as a simplified fraction.  For example, enter 3/8 for 3 over 8.

(a)  

8.

Ali cut an apple into 10 equal slices. Then he ate 6 slices. What fraction of the apple did Ali eat?

Enter your answer as a simplified fraction. For example, enter 3/5 for 3 over 5.

(a)  

9.

Round 123.456 to 2 decimal places.

Enter your answer.

(a)  

10.

Round 123.456 to 1 decimal place.

Enter your answer.

(a)  

11.

If I ate 8 out of 10 chocolates what is the percentage of chocolates left in the box?

Enter your answer. For example, enter 10% for ten percent.

(a)  

12.

There are 3 year 7s and 12 year 8s in a soccer team. What is the percentage of Year 7 students in the team?

a)

25%

b)

30%

c)

20%

d)

80%

13.

Mr Knight has 6 apples and 2 oranges. What is the ratio of apples to oranges? Select two correct options.

a)

3:1

b)

1:3

c)

6:2

d)

2:6

14.

The ratio between Ms Morris' money and Ms De Boer's is 2:3. If Ms Morris has $120, how much does Ms De Boer have?

Enter your answer as a whole number. Do NOT enter any unit.

(a)  

15.

The original price of a phone was $500. It now has at $20% discount, what it the new sale price?


Enter your answer as a whole number. Do NOT include any unit.

(a)  

16.

The original price of an iPad was $490. It now has a 10% discount.


Which option is the correct working out to find the sale price?

a)

49010%490-10\%

b)

49010490-10

c)

490+490×10%490+490\times10\%

d)

490×(110%)490\times\left(1-10\%\right)

17.

Which option is the correct statement about the following two numbers when converted into decimals?

 23; 25\frac{2}{3};\ \frac{2}{5}  

a)

 23\frac{2}{3}  is a terminated decimal;  25\frac{2}{5}  is a recurring decimal

b)

 25\frac{2}{5}  is a terminated decimal;  23\frac{2}{3}  is a recurring decimal

c)

Both are terminated decimals

d)

Both are recurring decimals

18.

Which option shows firstly an irrational number and then a rational number?

a)

π; 13\pi;\ \frac{1}{3}

b)

0.33333; 0.30.33333;\ 0.3

c)

29999, 5\frac{2}{9999},\ \sqrt{5}

d)

4, π\sqrt{4},\ \pi

19.

Mr Lee bought a house in 2016 and the price was $800,000. Since then it has increased in price by 15%. How much is the house worth now?

Enter your answer as a whole number in dollars. Do NOT include any unit or comma.

(a)  

20.

The cost of 6 cakes is $15.00. How much will it cost me to buy 5 cakes? Assume the unit price won't change.

a)

$12.50

b)

$12.00

c)

$18.00

d)

$10.50

21.

$500 is invested in a bank paying simple interest at a rate of 12% p.a. How much simple interest will be earned for three years? What the total amount will be?

a)

Interest: $180; Total Amount: $680

b)

Interest: $60; Total Amount: $180

c)

Interest: $1800; Total Amount: $2380

d)

Interest: $60; Total Amount: $560

22.

y is directly proportional to x, and y = 36 when x = 4.

What is the value of y when x = 3?


Enter your answer as a whole number.

(a)  

23.

Simplify 8g4×7g2×g08g^4\times7g^2\times g^0  by applying index law

a)

 56g656g^6  

b)

 56g856g^8  

c)

 11  

d)

 00  

24.

Simplify 4t46t5\frac{4t^4}{6t^5}  

a)

 23t or 23t1\frac{2}{3t}\ or\ \frac{2}{3}t^{-1}  

b)

 23t\frac{2}{3}t  or  23t1\frac{2}{3}t^1  

c)

 10t910t^9  

d)

 1.5t9\frac{1.5}{t^9}  

25.

Simplify 2(x3y)102\left(x^3y\right)^{10}  

a)

 2x30y102x^{30}y^{10}  

b)

 210x13y2^{10}x^{13}y  

c)

 2x13y102x^{13}y^{10}  

d)

 210x30y102^{10}x^{30}y^{10}  

26.

Simplify (xy23)4×34x4y7\left(\frac{xy^2}{3}\right)^4\times3^4x^{-4}y^{-7}  

a)

 yy  

b)

 y3\frac{y^{ }}{3}  

c)

 xy881\frac{xy^8}{81}  

d)

 4xy212\frac{4xy^2}{12}  

27.

Which of the following is the correct scientific notation of 493,000,000,000 ?

a)

4.93×10114.93\times10^{11}

b)

493×109493\times10^{-9}

c)

0.493×10120.493\times10^{12}

d)

4.93×1094.93\times10^{-9}

28.

Which of the following is the correct decimal form of  1.024×1061.024\times10^{-6}   

a)

0.000001024

b)

0.001024

c)

102400

d)

1024000

29.

How much would an investment with a principal amount of $9000 grow to, if it was compounded yearly at an interest rate of 5% p.a. over 3 years? Round the result to the nearest whole number.

a)

$10419

b)

$10357

c)

$12902

d)

$17581

30.

Lena borrows $50,000 from a bank for 3 years to buy a new car. The yearly interest rate is 8% and the interest will be compounded monthly. What is the total amount she has to repay?

Select the correct working out.

a)

 50000×(1+8%)350000\times\left(1+8\%\right)^3  

b)

 50000×(1+8%12)3×1250000\times\left(1+\frac{8\%}{12}\right)^{3\times12}  

c)

 50000+5000×3×8%50000+5000\times3\times8\%^{ }  

d)

 50000×(118%12)3×1250000\times\left(1-\frac{18\%}{12}\right)^{3\times12}