Free Printable Summer School Assignment #1

1.

Find the area of triangle ABC

a)

$112.21\ cm^2$

b)

$60.99\ cm^2$

c)

$34.59\ cm^2$

d)

$62\ cm$

2.

Express 7.178 to 2 decimal place

a)

7.17

b)

7.178

c)

7.20

d)

7.18

3.

Find the simple interest on $1,498 invested for 6 months at a rate of 6% per annum

a)

$44.94

b)

$449.40

c)

$89.88

d)

$149.80

4.

Express 10.48 to 3 significant figures

a)

10.49

b)

10

c)

104.8

d)

10.5

5.

By selling an article for $588 a salesman made a loss of 40%. What was the cost price of the article?

a)

$253.20

b)

$980

c)

$1,470

d)

$1,176

6.

Solve the equation $15-4x=2\left(3x+1\right)$

a)

$1\frac{3}{10}$

b)

1.9

c)

$4\frac{1}{2}$

d)

$\frac{3}{10}$

7.

A total of 1,200 students attend Top View High School. The ratio of teachers to students is 1:30. How many teachers are there at the school?

a)

40

b)

36,000

c)

30

d)

400

8.

Factorize completely: $4y^2-z^2$

a)

$4\left(y^2-z^2\right)$

b)

$\left(4y+z\right)\left(4y-z\right)$

c)

$\left(2y+z\right)\left(2y-z\right)$

d)

Cannot be factorised

9.

Simplify: $7\frac{1}{3}+11\frac{2}{6}+1\frac{1}{4}$

a)

$19\frac{1}{2}$

b)

20

c)

$19\frac{5}{6}$

d)

$19\frac{11}{12}$

10.

Simplify: $\frac{1\frac{1}{2}-\frac{2}{5}}{4\frac{2}{5}\times\frac{3}{4}}$

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{5}$

d)

$5\frac{2}{3}$

11.

Simplify: $\frac{2\frac{2}{3}+1\frac{1}{5}}{6\frac{2}{5}}$

a)

$\frac{29}{48}$

b)

$\frac{1}{2}$

c)

9

d)

$1\frac{29}{60}$

12.

Write as a single fraction in its lowest form: $\frac{x-2}{3}+\frac{x+1}{4}$

a)

$\frac{14x+10}{24}$

b)

$\frac{7x+5}{12}$

c)

$\frac{7x+5}{24}$

d)

$\frac{7x-5}{12}$

13.

Simplify: $\frac{2x-3}{3}+\frac{5-x}{2}$

a)

$\frac{x+18}{12}$

b)

$\frac{x+9}{6}$

c)

$\frac{2x+12}{9}$

d)

$\frac{x-9}{6}$

14.

Simplify: $2\frac{2}{5}-1\frac{1}{3}+3\frac{1}{2}$

a)

$2\frac{6}{10}$

b)

$4\frac{1}{2}$

c)

$4\frac{1}{5}$

d)

$4\frac{17}{30}$

15.

Factorise: $4a^2-16$

a)

$\left(2a+4\right)\left(2a-4\right)$

b)

$\left(2a+4\right)\left(2a+4\right)$

c)

$4\left(2a+4\right)\left(2a-4\right)$

d)

$4\left(a^2-16\right)$

16.

Factorise: $4m^2-1$

a)

$4\left(m^2-1\right)$

b)

$\left(2m-1\right)\left(2m-1\right)$

c)

$\left(2m+1\right)\left(2m-1\right)$

d)

$\left(1+4m\right)\left(1-4m\right)$

17.

Factorise: $6y^2-18xy$

a)

$6\left(y^2-3xy\right)$

b)

$6y\left(y-3x\right)$

c)

$18\left(y^2-6xy\right)$

d)

$3y\left(2y-6x\right)$

18.

Expand and simplify: $\left(2k-3\right)\left(k-2\right)$

a)

$2k^2-7k+6$

b)

$2k^2-4k-3k+6$

c)

$2k^2+7k+6$

d)

$2k-7k+6$

19.

Expand: $\left(x-9\right)\left(x+9\right)$

a)

$x^2+81$

b)

$x^2+9x+81$

c)

$x^2+9x-9x+81$

d)

$x^2-81$

20.

Factorise: $625-16y^2$

a)

$\left(4y+25\right)\left(4y-25\right)$

b)

$\left(25+16y\right)\left(25-16y\right)$

c)

$\left(25+4y\right)\left(25-4y\right)$

d)

$\left(25-4y\right)\left(25-4y\right)$

21.

The diagram shows a quadrilateral PQRS where PQ and SR are parallel, SQ = 8 cm, angle SPQ = 90 degrees, angle SQR = 82 degrees and angle QSR = 30 degrees. Determine the length of PS

a)

11 cm

b)

6 cm

c)

4 cm

d)

8 cm

22.

The diagram shows a quadrilateral PQRS where PQ and SR are parallel, SQ = 8 cm, angle SPQ = 90 degrees, angle SQR = 82 degrees and angle QSR = 30 degrees. Determine the length of PQ

a)

6.93 cm

b)

4.21 cm

c)

6.77 cm

d)

11 cm

23.

The diagram (not drawn to scale), shows the positions of two ships, P and Q, at anchor. FT is the vertical face of a cliff jutting out of the water. P and Q are 118 meters apart. FT = 80 m. Angle P is 40 degrees. Determine the length of FP.

a)

80 m

b)

103.92 m

c)

175.3 m

d)

95.34 m

24.

The diagram (not drawn to scale), shows the positions of two ships, P and Q, at anchor. FT is the vertical face of a cliff jutting out of the water. P and Q are 118 meters apart. FT = 80 m. Angle P is 40 degrees. Determine the angle of elevation of T from Q.

a)

$30.2\degree$

b)

$41\degree$

c)

$20.6\degree$

d)

$22\degree$

25.

Calculate the area of sector OABC if the angle at the centre is $270\degree$ ( Take $\pi=\frac{22}{7}$ )

a)

$21.5\ cm^2$

b)

$28.88\ cm^2$

c)

$33.33\ cm^2$

d)

$29\ cm^{ }$

Summer School Assignment #1

Total questions: 25

Worksheet time: 6hrs 15mins

Similar Resources on Wayground