Free Printable Basic arithmetic operations

1.

Express $\frac{8}{9m}-\frac{5-4n}{27m}$ as a single fraction in its simplest form

a)

$\frac{24-4n}{27m}$

b)

$\frac{19-4n}{27m}$

c)

$\frac{19+4n}{27m}$

2.

Express $\frac{6}{7m}-\frac{8-3n}{28m}$ as a single fraction in its simplest form

a)

$\frac{28+3n}{28m}$

b)

$\frac{16-3n}{28m}$

c)

$\frac{16+3n}{28}$

d)

$\frac{28-3n}{28m}$

3.

Simplify $\frac{8-4p}{15m^2p}\div\frac{6mp}{4-p^2}$

a)

$\frac{5\left(2+p\right)}{8}$

b)

$\frac{5m\left(2+p\right)}{8}$

c)

$\frac{15\left(4+p\right)}{20}$

d)

$\frac{15m\left(2+p\right)}{20}$

4.

Simplify $\frac{5}{a-b\ }-\frac{7d}{6\left(a-b\right)}$

a)

$\frac{5-7d}{a-b}$

b)

$\frac{5-7d}{6\left(a-b\right)}$

c)

$\frac{11-7d}{6\left(a-b\right)}$

d)

$\frac{30-7d}{6\left(a-b\right)\ \ }$

5.

Simplify $\frac{r+2}{m}\times\frac{m^2\left(r-8\right)}{3r+6}$

a)

$\frac{m\left(r-8\right)}{3}$

b)

$\frac{3}{m\left(r-8\right)}$

c)

$\frac{3m}{r-8}$

d)

$\frac{m^2\left(r-8\right)}{3}$

6.

Simplify $\frac{8}{n-4}\div\frac{5a}{6n-24}$

a)

$\frac{40a}{n+4}$

b)

$\frac{5a}{48}$

c)

$\frac{48}{5a}$

d)

$\frac{40a}{n-4}$

7.

Express $\frac{7x}{8y}-\frac{2-\frac{3}{4}x}{3y}$ as a single fraction in its simplest form.

a)

$\frac{21x^2-16+16x}{24y^2}$

b)

$\frac{21x-16-16x^2}{24y}$

c)

$\frac{15x-16}{24y}$

d)

$\frac{27x-16}{24y}$

8.

Simplify $\frac{36p^2-49q^2}{8m^2n}\div\frac{6p+7q}{12n^2}$

a)

$\frac{3n\left(6p-7q\right)}{2m^2}$

b)

$\frac{12\left(6p-7q\right)}{8m^2}$

c)

$\frac{3n^2\left(6p-7q\right)}{2m}$

d)

$\frac{12n^2\left(6p-7q\right)}{8m^2}$

9.

Simplify $\frac{16m^2-25n^2}{7p^2-14pq}\times\frac{3p-6q}{4m^2-5mn}$

a)

$\frac{3\left(4+5n\right)}{7p^2}$

b)

$\frac{3\left(4m+5n\right)}{7p2}$

c)

$\frac{3\left(4m+5n\right)}{7p}$

10.

The area of a rectangular-shaped football field is $\left(2x^2+13x+20\right)m^2$ . If the width of the field is $\left(x+4\right)m$ , find the length,in m, of the field

a)

$\left(2x+5\right)\left(x+4\right)m$

b)

$\left(2x-5\right)\left(x-4\right)m$

c)

$\left(2x+5\right)m$

d)

$\left(2x-5\right)m$

Basic arithmetic operations

Total questions: 10

Worksheet time: 25mins

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