Q1-4: copy from GCSE maths BIDMAS

NEW QUESTIONS

Q5

Calculate the following:

 

5(a) 7\times10+2

Answer type: simple

ANSWER: 72

Workings:

Multiply before adding.

7\times10=70 70+2=72

1 mark

 

5(b) 32\div 8 \times 100

Answer type: simple

ANSWER: 400

Workings:

Divide before multiplying.

32\div 8 = 4 4 \times 100 = 400

1 mark

 

5(c) 72 \div 9 + 10 \times 8

Answer type: simple

ANSWER: 88

Workings:

Perform the division first, then the multiplication and then add the results.

72 \div 9 = 8 10\times8 = 80 8+ 80 = 88

1 mark

 

5(d) 5^2 + 4\times3

Answer type: simple

ANSWER: 37

Workings:

Indices, then multiplication, then addition

5^2=25 4\times3=12 25+12=37

1 mark

 

5(e) 4(18\div 3 + 2^3)

Answer type: simple

ANSWER: 56

Workings:

First, perform the calculation inside the brackets – the indices come first, then the division and finally the addition:

2^3=8 18\div3=6 6+8=14

Finally multiply the bracket by 5:

5\times14=56

Q6

Calculate the following.

 

6(a) \dfrac{12\times4}{15-7}

Answer type: simple

ANSWER: 6

Workings:

Calculate the value of the numerator and denominator separately, then perform the division (of the fraction).

12\times4=48 15-7=8 \dfrac{48}{8}=6

 

6(b) \dfrac{8^2-9}{34-23}

Answer type: simple

ANSWER: 5

Workings:

Calculate the value of the numerator and denominator separately, then perform the division (of the fraction).

8^2=64 64-9=55 34-23=11 55\div 11 = 5

 

6(c) \dfrac{2(109-12\times2)}{25\div 5}

Answer type: simple

ANSWER: 34

Workings:

Calculate the value of the numerator and denominator separately, then perform the division (of the fraction).

First, calculate the value of the brackets in the numerator, then multiply this value by 2:

12\times2=24 109-24=85 2\times85=170

Then work out the value of the denominator:

25\div 5 = 5

So, \dfrac{170}{5}=34

 

6(d) \dfrac{3(3^2\times2)}{3\times2}

Answer type: simple

ANSWER: 9

Workings:

Calculate the value of the numerator and denominator separately, then perform the division (of the fraction).

For the numerator, start by working out the value of the brackets, then multiplying this value by 3:

3^2=9 9\times2=18 3\times18=54

Then calculate the denominator:

3\times2=6

So, \dfrac{54}{6}=9

 

6(e) \dfrac{10(9+7^2)}{6^2-7}

Answer type: simple

ANSWER: 20

Workings:

Calculate the value of the numerator and denominator separately, then perform the division (of the fraction).

For the numerator, start by working out the value of the brackets, then multiplying this value by 10:

7^2=49 9+49=58 10\times58=580

Then calculate the denominator:

6^2=36 36-7=29

So, \dfrac{580}{29}=20