Free Printable Unit 6/7 Test

1.

What is the missing value in this arrow diagram?

a)

$\times5$

b)

$\div\left(-5\right)$

c)

$\div5$

d)

$\times\left(-5\right)$

2.

What are the missing values in this arrow diagram

a)

$\div3,\ \div3$

b)

$\times3,\ \times3$

c)

$\div3,\ \times3$

d)

$\times3,\ \div3$

3.

Solve: 4.3 = -2x - 2.7

a)

3.5

b)

-0.8

c)

-3.5

d)

0.8

4.

Solve:\ 8\ =\ 5\ +\ \frac{x}{3}

a)

-7

b)

19

c)

0

d)

9

5.

Write an equation for this statement: A number divided by 3, plus 8, is 11

a)

$\frac{x}{3}=\ 8\ +\ 11$

b)

$\frac{x}{3}+\ 8\ =\ 11$

c)

$\frac{3}{x}+\ 8\ =\ 11$

d)

$\frac{x\ +\ 8}{3}\ =\ 11$

6.

A white rectangle represents a -x tile, a black rectangle represents a +x tile, a small white square represents a -1 tile, and a small black square represents a +1 tile.

Solve the equation represented by the tiles.

a)

x = 12

b)

x = -2

c)

x = 2

d)

x = 1

7.

$Solve,\ 5\ =\ \frac{35}{w},\ w\ne0$

a)

w = 7

b)

w = -30

c)

w = 175

d)

w = 1/7

8.

$Solve:\ 4v\ -\ 6\ =\ -14$

a)

v = -1/2

b)

v = 2

c)

v = -2

d)

v = 1/2

9.

A number times 5, minus 6, is 8. Write an equation to determine the number.

a)

$6-5x=8$

b)

$5x-6=8$

c)

$5-6x=8$

d)

$6x-5=8$

10.

$Solve:\ 1.2b-2.6=10.1-1.3b$

a)

b = 5.08

b)

b = -5.08

c)

b = 0.3

d)

b = -0.3

11.

$Solve:\ 3\left(3q-2\right)=2\left(2q+5\right)$

a)

$q=\frac{-5}{16}$

b)

$q=-3\ \frac{1}{5}$

c)

$q=\frac{5}{16}$

d)

$q=3\ \frac{1}{5}$

12.

$Solve:\ \frac{x}{4}+\frac{11}{2}=\frac{7}{4}$

a)

x = -4

b)

x = -60

c)

x = -8

d)

x = -15

13.

Which of these numbers are solutions of x < 3?

a)

-5

b)

-1

c)

-4

d)

3

14.

$-1.4\le x$ Which of these numbers are solutions

a)

-1.5

b)

-1.4

c)

1.4

d)

1.5

15.

$Which\ of\ these\ graphs\ is\ a\ solution\ of\ c\ \ge-2?$

a)

i)

b)

ii)

c)

iii)

d)

iv)

16.

Which of these inequalities have 6 as a solution? Choose ALL that apply.

a)

$c+4\ >\ 10$

b)

$d+3\ \ge\ 9$

c)

$e-2<4$

d)

$f-3\le3$

17.

Which of these numbers (8, -8, -7, 6) are solutions to the inequality h + 7 ≥ 0

a)

8, -8, -7

b)

8, -7, 6

c)

-8, -7, 6

d)

8, -8, -7, 6

18.

Which of these graphs represent the solution of the inequality: 5 - 5x > -5

a)

Graph i

b)

Graph ii

c)

Graph iii

d)

Graph iv

19.

Which of these numbers (-4, -3, -5, -2) are solutions of the inequality 11 > 3 - 2w

a)

-3, -2

b)

-4, -3, -2

c)

-3, -5

d)

-4, -3, -5, -2

20.

$Solve:\ 7-\frac{3}{4}x<10$

a)

x < 4

b)

x > 4

c)

x < -4

d)

x > -4

21.

Back when you were allowed to leave your house you spent money at Irving during lunch. Due to quarantine Irving is now charging a $5 entry fee, and $4 per polar pop. You only have $40 for the week. Write an inequality to represent the number of polar pop's (p) you can buy within the week.

a)

5 + 4p > 40

b)

5 + 4p < 40

c)

5 + 4p ≥ 40

d)

5 + 4p ≤ 40

22.

A rectangle has length 6cm and width 4cm. The rectangle is to be enlarged by a scale factor of 8. Calculate the length of the enlargement.

a)

80cm

b)

48cm

c)

32cm

d)

14cm

23.

The side length of an equilateral triangle is 7cm. A scale diagram of the triangle has side length 42cm. Determine the scale factor of the diagram.

a)

$\frac{1}{6}$

b)

2

c)

6

d)

35

24.

Determine the scale factor for this scale diagram.

a)

32

b)

8

c)

4

d)

$\frac{1}{4}$

25.

In a photo, the length of a model car is 4.4cm. The photo is to be enlarged by a scale factor of 6.5. Determine the length of the car in the enlargement.

a)

57.2cm

b)

10.9cm

c)

21.8cm

d)

28.6cm

26.

A square frame is projected onto a screen using an overhead projector. The original square frame has side length 8.5cm. The square frame is enlarged by a scale factor of 6.2. Determine the side length of the square frame on the screen.

a)

14.7cm

b)

52.7cm

c)

105.4cm

d)

210.8cm

27.

Which parallelograms A, B, C, D is a scale diagram of parallelogram O?

a)

Parallelogram D

b)

Parallelogram C

c)

Parallelogram B

d)

Parallelogram A

28.

A drawing of a regular hexagon has a side length 1.7cm. The hexagon is enlarged by a scale factor of 2.7. Determine the side length of the enlargement.

a)

4.59cm

b)

4.55cm

c)

4.8cm

d)

4.4cm

29.

Which trapezoids A, B, C, D are scale diagrams of trapezoid O?

a)

Trapezoid A

b)

Trapezoid B

c)

Trapezoid C

d)

Trapezoid D

30.

A photo has dimensions 175cm by 143cm. An enlargement of this photo has dimensions 6.125m by 5.005m. Determine the scale factor.

a)

2

b)

3.5

c)

3

d)

4

31.

Determine the scale factor for this reduction.

a)

2

b)

1/4

c)

1/2

d)

4

32.

Determine the scale factor for this reduction.

a)

8

b)

4

c)

1/4

d)

1/8

33.

Which of triangles P, Q, R, and S are reductions of triangle X?

a)

P, Q, and S

b)

Q and S

c)

P and Q

d)

P, Q, and R

34.

Which two polygons have pairs of corresponding side lengths that are proportional?

a)

R and S

b)

P and S

c)

Q and R

d)

P and Q

35.

A model ship is built to a scale of 1:400. If the actual length of the ship is 45m, determine the length of the model.

a)

11.3cm

b)

35.5cm

c)

0.11cm

d)

8.9cm

36.

A soccer pitch is about 110m long. A model of the soccer pitch is made using a scale of 1:70. Determine the length of the model.

a)

1571cm

b)

2cm

c)

16cm

d)

157cm

37.

A circle has diameter 48cm. The diameter of the reduction is 42cm. Determine the scale factor of the reduction as a fraction.

a)

8/7

b)

1.14

c)

0.875

d)

7/8

38.

Which two triangles have pairs of corresponding lengths that are proportional?

a)

P and R

b)

Q and P

c)

Q and R

d)

P, Q, and R

39.

A building is 210m tall. A scale model is built using a scale factor of 0.005. Determine the height of the model.

a)

105 cm

b)

42 000 m

c)

10.5 m

d)

105 m

40.

An airplane is 58m long. A scale model of the plane is 40.6cm long. Determine the scale factor used to create the model.

a)

7

b)

0.7

c)

0.07

d)

0.007

41.

Calculate the side length, in units, in this proportion. $\frac{PQ}{8}=\frac{5}{160}$

a)

0.08

b)

1.43

c)

4

d)

0.25

42.

Calculate the value of y in this proportion. $\frac{y}{8.4}=\frac{7.2}{14.4}$

a)

1.1

b)

1.2

c)

4.2

d)

46.08

43.

Identify similar quadrilaterals. (image is a little distorted, all drawings should be exactly on lines)

a)

P and Q

b)

P and R

c)

R and S

d)

Q and S

44.

Identify similar parallelograms.

a)

All of the above

b)

A and B

c)

A and D

d)

D and B

45.

Identify similar pentagons.

a)

Q, R, and S

b)

P, R, and S

c)

Q and S

d)

P, Q, and S

46.

Identify similar rectangles with these dimensions:

a)

10cm by 15cm

b)

19cm by 28cm

c)

14cm by 21cm

d)

16cm by 24cm

47.

Rectangle ABCD is similar to rectangle PQRS. If AB=7.2cm, BC=5.7cm, and PQ=4.8cm, determine the length of QR.

a)

8cm.

b)

4cm

c)

1.5cm

d)

3.8cm

48.

Quadrilateral PQRS is similar to quadrilateral ABCD. If AB=3cm, BC=4cm, and QR=8.96cm, determine the length of PQ.

a)

2.24cm

b)

6.72cm

c)

1.34cm

d)

8.96cm

49.

These parallelograms are similar. Determine the values of $x\degree\ and\ y$

a)

$32\degree\ and\ 8$

b)

$64\degree\ and\ 8$

c)

$32\degree\ and\ 4$

d)

$64\degree\ and\ 4$

50.

These three rectangles are similar. Determine the values of x and y

a)

33cm and 55cm

b)

14.6cm and 33cm

c)

8.8cm and 55cm

d)

44cm and 88cm

Unit 6/7 Test

Total questions: 50

Worksheet time: 25mins

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