Free Printable RDV: KS3 maths Progress Check

1.

The result of the following expression: $8 + 2 \times (3 + 2)$ is (a) .

Choose from the below words

18

20

16

13

2.

Calculate the value of: $4 \times (6 + 3) - 5^2$

3.

Anaya was checking her shopping list and calculating her total expenses. She noted she spent £15 initially, then she used a £3 coupon on a £4 item, and finally, she added a $2 snack. Her total expenses were (a) : $15 - 3 \times 4 + 2$

4.

The result of: $\frac{24}{3} + 2^3$ is (a) .

5.

Evaluate: $5 + 12 \div 3 \times 2$ = (a)

6.

Find the value of: $(5 + 3) \times (2 + 4) \div 3$

a)

16

b)

18

c)

20

d)

22

7.

The expression $2 + 3 \times (4 - 1)$ equals (a) .

8.

The result of the expression $18 \div (2 \times 3) + 4$ is (a) .

9.

Calculate: $3^2 + 4 \times (2 + 1)$

a)

21

b)

23

c)

25

d)

27

10.

The result of: $16 \div 2 \times (1 + 3)$ is (a) .

11.

2 − 3

a)

5

b)

0

c)

1

d)

-1

12.

−10 ÷ −5

a)

2

b)

-3

c)

5

d)

-2

13.

−30 − 80 + 40

a)

-70

b)

150

c)

-10

d)

-150

14.

5 − 8 − 1

a)

4

b)

-4

c)

13

d)

2

15.

Make x the subject of y = mx + 1

a)

x = (y - 1)/m

b)

x = y - 1/m

c)

x = y/m - 1

d)

x = my - 1

16.

If x = 9 (y + z), then y =

a)

b)

c)

d)

17.

Which of the following has "a" as the subject of the formula?

a)

b)

c)

d)

18.

V = u + at . Make a the subject

4 lines

19.

Make r the subject:
C = 2πr

a)

r = C/2π

b)

r = C - 2π

c)

r = 2πC

d)

r = Cπ/2

20.

a)

b)

c)

d)

21.

Make a the subject of formula $\frac{3a}{2}=\frac{b}{4}-\frac{2a}{3}$

a)

$a=\frac{39b}{2}$

b)

$a=\frac{3b}{26}$

c)

$a=\frac{2b}{7}$

d)

$a=\frac{b}{2}$

22.

Make c the subject of formula $a=\frac{b\left(3-c\right)}{2}$

a)

$c=\frac{2a-3b}{b}$

b)

$c=\frac{3b-2a}{b}$

c)

$c=\frac{2\left(3b-a\right)}{b}$

d)

$c=3b-2a$

23.

Identify the hypotenuse.

a)

x

b)

z

c)

w

24.

Identify the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

25.

solve for c

a)

7

b)

9

c)

4

d)

13

26.

Calculate the length of x

a)

5

b)

7

c)

8

d)

25

27.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

28.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

29.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

30.

Which ratio would you use to solve for x?

a)

Sine ratio

b)

Cosine ratio

c)

Tangent ratio

31.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

32.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

33.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

34.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

35.

a)

340000

b)

340

c)

3400

d)

34000

36.

Round off the following numbers to 1 significant figure

a)

20

b)

21

c)

2

d)

20.7

37.

State the number of significant figure of the following number

a)

7 significant figure

b)

6 significant figure

c)

4 significant figure

d)

1 significant figure

38.

Round off 0.7683 correct to two significant figures.

a)

0.70

b)

0.76

c)

0.77

d)

0.80

39.

Express 4785.2 in standard form.

a)

4.7852 x 10²

b)

4.7852 x 10^-2

c)

4.7852 x 10³

d)

4.7852 x 10^-3

40.

Find the standard form value of (2.5 x $10^4$ ) x ( 6 x $10^{-9}$ )

a)

$15\ \times10^{-5}$

b)

$15\ \times10^{-4}$

c)

$1.5\ \times\ 10^{-4}$

d)

$1.5\ \times\ 10^{-6}$

41.

a)

1.6 x 10^-10

b)

1.6 x 10^-9

c)

1.6 x 10^-3

d)

1.6 x 10^-2

42.

Solve the following operations.

State your answers in standard form.

a)

b)

2950

c)

43.

Calculate

(6 × 10²) + (3 × 10³)

Give your answer in standard form.

a)

$3.6\times10^2$

b)

$3.6\times10^3$

c)

3,600

d)

$3.6\times10^4$

44.

Writing the equation

Samuel has $18 to spend on books and movie tickets. Each book costs $1 and each movie ticket costs $2.

Let x = # of books Samuel buys

Let y = # of movie tickets Samuel buys

What equation should Samuel use for this word problem?

a)

y+18x=2

b)

x+2y=18

c)

2x+y=18

d)

18x+y=2

45.

Madison, Jackson, and Mason decided to share their Netflix (x) and Spotify (y) subscriptions. They agreed to pay $10.99 a month for Netflix and $5.99 a month for Spotify. After 5 months, they realized they had spent a total of $96.88. If they had Netflix for all 5 months, how many months did they have Spotify?

a)

4 months

b)

7 months

c)

6 months

d)

2 months

46.

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

a)

6x + 2y = 28

b)

2x + 6y = 28

47.

Esme scores 642 points, 488 points, 312 points, and 900 points on her last 4 questions. What is the average number of points she scored per question?

(a)

48.

Sylvia scores 60 points total in the first 3 rounds of a game and 150 points total in the last 3 rounds. How many points does she average per round?

(a)

49.

There are 567 students in a school and 21 classrooms. What is the average number of students in each classroom?

(a)

50.

Fins their average height if the height of the 4 kids are as follows:

Mark- 119.5cm

William-130.5cm

Dylan-140cm

Nathan-142cm

a)

130cm

b)

131cm

c)

132cm

d)

133cm

51.

Find the average of 5.2, 4.6, 7.8, 6.2, 9.8, 8.4

(a)

52.

How many people said Drama was their favourite type of film?

a)

0

b)

2

c)

1

d)

7

53.

How many more people have purple for a favourite colour than red?

a)

3

b)

5

c)

7

d)

9

54.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

55.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

56.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

57.

Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:3 range:8

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

58.

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

59.

Which equation can be used to find the volume of this figure?

a)

Vol = (8 x 7) (13)

b)

Vol = (8 x 13) ( 7)

c)

Vol = (1/2 x 8 x 13) (7)

d)

Vol = (1/2 x 8 x 7) (13)

60.

How many faces does this solid figure have?

a)

2

b)

1

c)

3

d)

0

61.

Find the volume of the figure.

a)

$16\ in^3$

b)

$38\ in^3$

c)

$27\ in^3$

d)

$21\ in^3$

62.

Find the volume of the figure.

a)

$603.19\ cm^3$

b)

$706.27\ cm^3$

c)

$2412.74\ cm^3$

d)

$621.90\ cm^3$

63.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

64.

Find the surface area of the Cylinder. Use pi = 3.14

(a)

65.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

66.

In a wetland, 400 birds were observed in 2018 and 450 birds were observed in 2019. Find the change of the no. of birds.

a)

increased by 50

b)

increased by 12.5%

c)

decreased by 50

d)

decreased by 12.5%

67.

The height of Tom is 132cm. He is 10% taller than last year. What is his height last year?

a)

118.8 cm

b)

119 cm

c)

122 cm

d)

120 cm

68.

The fee of lunch was $40 per head. It becomes $30 per head this year. Find the percentage decrease.

a)

$10

b)

10%

c)

25%

d)

-25%

69.

Mr Tam can finish 3000m in 20 min last year and he can do it in 18 min this year. What is the change?

a)

2 min

b)

-2 min

c)

10%

d)

-10%

70.

How do we find percentage change?

a)

$original\ value-final\ value$

b)

$\frac{final\ value}{original\ value}$

c)

$\frac{final\ value\ -\ orginal\ value}{original\ value}$

d)

$\frac{\left(final\ value-\ original\ value\right)}{original}x\ 100\%$

71.

The mass of a box of apples was 24 kg. Some apples were removed from the box and the mass of the box dropped to 21 kg. Find the percentage decrease in the mass of the box.

(a)

72.

There were 35 blue pens and 15 red pens in a box. Kiera put 12 more blue pens into the box. Find the percentage increase in the number of pens.

(a)

73.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

74.

Expand $7\left(a+4\right)$

(a)

75.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

76.

A student factored: $k^2+13k+42$ . She found that 1 factor was $\left(k+6\right)$ . What was the other factor?

a)

$\left(k+5\right)$

b)

$\left(k+6\right)$

c)

$\left(k+7\right)$

d)

$\left(k+8\right)$

77.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

78.

$What\ are\ the\ factors\ of\ \ x^2\ -5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x - 1)(x +6)

c)

(x+2)(x-3)

d)

(x +1)(x -6)

79.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

80.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

RDV: KS3 maths Progress Check

Total questions: 80

Worksheet time: 3hrs 33mins

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