In this section you will need the following hints to solve the exercises:

- Place value of whole numbers
- Total value of whole numbers
- Multiplication of whole numbers/tables
- BODMAS
- LCM and GCD

Worked Exercise

- What is four million seventy thousand and five hundred and thirty three?
- 4,070,353
- 4,070,533
- 4,007,533
- 4,700,533

Working

Using the place value table, the question can be solved as follows:

MillionsHundred

ThousandsTen

thousands

Thousands

Hundreds

tens

Ones4 0 7 0 5 3 3

- What is the square root of 7
^{9}/16- 7 ¾
- 2 ¾
- 1
^{3}/_{8} ^{21}/_{16}Working

Step 1: Change the mixed fraction to improper Find the square root of both numerator and denominator.

Step 2: Find the square root of both numerator and denominator

= √121

√16

=^{11}/_{4}Step 3: Change the improper fraction to mixed fraction

= 2¾

The correct answer is B

- What is 25% as a fraction?
^{1}/_{5}- ¾
- ½
- ¼

Working

Step1: Express the percentage with 100 as a denominator.

=^{25}/_{100}Step 2: Simplify

=¼ correct answer is D

- What is the value of of
^{1}/_{3}of(½ +^{1}/_{9}) ÷^{1}/_{6}^{11}/_{324}^{1}/_{99}- 1
^{2}/_{9} ^{4}/_{11}Working

Step1: Using the order of operation, BODMAS, solve the brackets first.^{1}/_{2}+^{1}/_{9}=^{11}/_{18}Step 2: Open brackets and calculate ‘of ‘

=^{1}/_{3}of (^{11}/1_{8}) ÷^{ 1}/_{6}

=^{1}/_{3}x (^{11}/_{18}) ÷^{1}/_{6}

=^{11}/_{54}÷^{1}/_{6}

Step3: Calculate the division part

=^{11}/_{54 }÷^{1}/_{6}

=^{11}/_{54}x^{6}/_{1}(multiply by the reciprocal of^{1}/_{6})

=^{11}/_{9}

Step 4: Change the improper fraction to mixed fraction.

= 1^{2}/_{9}The correct answer is C.

- The price of radio is Sh1800. The price was reduced by 15% during an auction. How much is the price after the reduction?
- Sh270
- Sh2070
- sh1530
- sh1785

Working

Marked price = Sh1800

Percentage decrease = 15%

New price

85% of Sh1800 (100% - 15%)

=^{85 x 1800}/_{100}= Sh1, 530

The correct answer is Sh 1530 (C)

- In a certain year a tea factory produced 2500 tonnes of tea leaves. The following year the tonnes increased to 4000. What is the percentage increase?
- 160%
- 62½ %
- 60%
- 37½ %

Working

First year = 2500 tonnes

Second year = 4000 tonnes

Increase = 1500 tonnes (4000-2500)

% Increase =^{Increase x 100}/_{Original= 60%}The correct answer is C (60%)

- What is the next number in the sequence below.

6, 10, 19, 35, ….. - 60
- 84
- 71
- 51

Working

The next difference is 5² = 25

The next number is 35 + 25 = 60

The correct answer is A (60)

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