Free Printable Final revision Math Gr6 (Second term)

1.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

2.

-15 = -4m + 5

a)

4

b)

7

c)

5

3.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

4.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

5.

Sovle for x:

5x = 40

a)

8

b)

10

c)

45

d)

35

6.

Solve for x:

6x - 5 = 7

a)

2

b)

3

c)

6

d)

12

7.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

8.

Which ratio is equivalent to 3 : 5 ?

a)

6 : 10

b)

1 : 3

c)

5 : 8

9.

Sand and cement is a ratio of 7 : 2

If you used 28 shovels of sand how many shovels of cement are needed?

a)

2

b)

4

c)

6

d)

8

10.

Simplify the following ratio.

1000g flour : 400g butter : 200g sugar : 200g sultanas

a)

10 : 2 : 1 : 1

b)

5 : 2 : 2 : 1

c)

5 : 2 : 1 : 1

d)

10 : 5 : 1 : 1

11.

Simplify the following ratio 100 : 25 : 50

a)

1 : 2 : 5

b)

10 : 2.5 : 5

c)

4 : 1 : 2

d)

3 : 1 : 2

12.

A recipe requires 2 cups of milk for every 3 cups of flour. If you use 8 cups of milk, how many cups of flour do you need?

a)

9

b)

12

c)

16

d)

6

13.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

14.

Write the ratio as a fraction in simplest form.

15 girls to 6 boys

a)

5 to 2

b)

5/3

c)

3 to 5

d)

5/2

15.

Which of these ratios is equivalent to 3:4?

a)

12:9

b)

9:20

c)

9:12

d)

803:804

16.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

2/3

c)

1/3

d)

10/16

17.

In a class there are 15 boys and 20 girls, find the ratio of number of girls to the total number of students in the class

a)

3 : 4

b)

4 : 3

c)

4 : 7

d)

7 : 4

18.

In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.

a)

2 : 5

b)

5 : 2

c)

3 : 4

d)

None of the above

19.

Determine the ratio of the following

'30 minutes to 2 hours'

a)

30 : 2

b)

1 : 4

c)

1 : 6

d)

None of the above

20.

What ratio is equivalent to 3:5

a)

30 : 500

b)

9 : 15

c)

13 : 1 5

d)

1 : 2

21.

In a class of 10 boys and 14 girls the ratio of girls to boys is

a)

10 : 14

b)

1 : 2

c)

7 : 5

d)

5 : 7

22.

Simplify as fully as possible 28:42

a)

14 : 21

b)

3 : 2

c)

1 : 1.5

d)

2 : 3

23.

A class has 75 students. If there are 50 boys. What is the ratio of girls to the class?

a)

1 : 3

b)

3 : 2

c)

5 : 7

d)

2 : 3

24.

Answer should be in simplest form.

3 ribbons to 13 ties

a)

3:13

b)

13:3

c)

3:3

25.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

26.

∛125

a)

5

b)

4

c)

6

d)

7

27.

Evaluate. 7³

a)

313

b)

323

c)

333

d)

343

28.

∛216

a)

6

b)

72

c)

108

d)

4

29.

$y^3=125$
Find the value of y

a)

5

b)

15

c)

20

d)

25

30.

Determine the volume of the figure shown below.

a)

12 cubic units

b)

10 cubic units

c)

16 cubic units

d)

9 cubic units

31.

What is the volume of the solid figure?

a)

28 cubic units

b)

17 cubic units

c)

20 cubic units

d)

40 cubic units

32.

Determine the volume of the figure shown below.

a)

12 unit cubes

b)

24 unit cubes

c)

3 unit cubes

d)

14 unit cubes

33.

√121

a)

12

b)

10

c)

11

d)

3

34.

√64

a)

3

b)

8

c)

7

d)

6

35.

*** Quiz Question***

Find the Square Root of the Following:
$\sqrt{\frac{25}{81}}$

(a)

36.

How many solutions do Square Root Equations have? Example: $\sqrt{b}=\ 11$

a)

1

b)

2

c)

3

37.

How many solutions do Squared Equations have? Example: $m^2=16$

a)

1

b)

2

c)

3

38.

Solve $\sqrt{w}=\ 4$

a)

2

b)

-2

c)

16

d)

-16

39.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

40.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

41.

Find the surface area of the rectangular prism with the following dimensions:
length = 9 m
height = 10 m
width = 12 m

a)

630 m squared

b)

636 m squared

c)

710 m squared

d)

1080 m squared

42.

Find the surface area of this cube.

a)

84 cm²

b)

420 cm²

c)

343 cm²

d)

294 cm²

43.

Which is NOT a 3D shape?

a)

Square

b)

Cube

c)

Cone

d)

Sphere

44.

How many vertices can be found on a rectangular prism?

a)

8

b)

12

c)

6

d)

10

45.

Which shape is 3-D?

a)

circle

b)

rectangle

c)

cube

d)

square

46.

Which statement is true about a square pyramid?

a)

A square pyramid has 4 edges and 4 faces.

b)

A square pyramid has 8 edges and 4 faces.

c)

A square pyramid has 4 edges and 5 faces.

d)

A square pyramid has 8 edges and 5 faces.

47.

Name this 3-D shape

a)

cube

b)

sphere

c)

rectangular prism

d)

cylinder

48.

Determine which choice BEST described the shape below:

a)

Cone

b)

Sphere

c)

Cube

d)

Triangular Prism

49.

Number of Edges?

a)

7

b)

5

c)

10

d)

15

50.

A circle is __________ figure, and a sphere is a __________ figure.

a)

3D, 3D

b)

3D, 2D

c)

2D, 3D

d)

2D, 2D

51.

Which shape has 6 square faces, 12 edges, and 8 vertices ?

a)

cube

b)

square pyramid

c)

rectangular prism

d)

cone

52.

Which 3-D shape can you make with 4 triangles and a square?

a)

cone

b)

cube

c)

square pyramid

d)

rectangular prism

53.

Find the missing denominator to make these ratios equivalent.

$\frac{1}{3}=\frac{4}{?}$

a)

3

b)

6

c)

12

54.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

55.

The angles of a triangle are in the ratio 1 : 2 : 3. The angles are

a)

45⁰ , 45⁰, 90⁰

b)

30⁰, 60⁰, 90⁰

c)

90⁰, 60⁰, 30⁰

d)

30⁰, 90⁰, 60⁰

56.

The maximum amount of people that can be in the elevator is 15. Which inequality statement matches this scenario, with x representing people on the elevator?

a)

x > 15

b)

x < 15

c)

X $\le$ 15

d)

x $\ge$ 15

57.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

58.

What inequality does the number line graph represent?

a)

x ≥ 4

b)

x ≤ 4

c)

x > 4

d)

x < 4

59.

what does the number line show

a)

x = 3

b)

x > 3

c)

x < 3

d)

x > 6

60.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

Final revision Math Gr6 (Second term)

Total questions: 60

Worksheet time: 3hrs 5mins

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