Free Printable Pentagon Block 5 Assessment Revision

1.

A drawer has white and black socks in the ratio 1:3. There are 12 white socks. How many socks are there in total?

a)

48 socks in total

b)

36 socks in total

c)

24 socks in total

d)

32 socks in total

2.

The ratio of apples to oranges is 2:5. If there are 15 oranges, how many apples are there?

a)

12 apples

b)

10 apples

c)

6 apples

d)

18 apples

3.

Abby, Neil and Dylan share money in the ratio 2:4:5. If Neil receives £60, how much does Dylan receive?

a)

£50

b)

£90

c)

£60

d)

£75

4.

Flour, sugar and butter are mixed in the ratio 6:2:3. If you use 180 g of butter, how much flour and sugar are needed?

a)

240 g flour and 80 g sugar

b)

360 g flour and 120 g sugar

c)

200 g flour and 60 g sugar

d)

300 g flour and 100 g sugar

5.

Keith buys 6 pencils for 90p. What is the cost of 11 pencils assuming direct proportion?

a)

£1.35

b)

£1.50

c)

£1.65

d)

£1.80

6.

Jack and Harry earn the same hourly rate. Jack earns £48 for 6 hours. How much does Harry earn for 8 hours?

a)

£56

b)

£60

c)

£64

d)

£62

7.

A car travels 120 miles in 3 hours at a steady speed. How far will it travel in 8 hours at the same speed?

a)

360 miles

b)

320 miles

c)

300 miles

d)

280 miles

8.

£50 is worth €56 at a fixed rate. How many euros is £220 worth at this rate?

a)

€246

b)

€232

c)

€252

d)

€246.40

9.

Make y the subject: y + w = c. Which is correct?

a)

y = c + w

b)

y = cw

c)

y = w − c

d)

y = c − w

10.

Make y the subject: 3y = c. Which is correct?

a)

y = c − 3

b)

y = c + 3

c)

y = 3c

d)

y = c ÷ 3

11.

Make x the subject: 4x + c = w. Which is correct?

a)

x = w − c

b)

x = w − c ÷ 4

c)

x = (w − c) ÷ 4

d)

x = 4(w − c)

12.

Make x the subject: $x^2 + 3 = h$ . Which is correct? Assume x ≥ 0.

a)

x = √(h − 3)

b)

x = h + 3

c)

x = √(h + 3)

d)

$x = (h − 3)^2$

13.

A circle has a radius of 2 cm. What is its circumference to 1 decimal place?

a)

3.1 cm

b)

25.1 cm

c)

12.6 cm

d)

6.3 cm

14.

A semicircle has a diameter of 8 cm. What is its perimeter to 1 decimal place? Include the straight edge.

a)

12.6 cm

b)

25.1 cm

c)

16.6 cm

d)

20.6 cm

15.

Newtown Primary’s running track is shaped like a rectangle 80 m long with semicircles of radius 15 m replacing the short ends. What is the distance once around the track? Round to 1 decimal place.

a)

207.1 m

b)

254.2 m

c)

127.1 m

d)

174.2 m

16.

A circle has a diameter of 6 cm. What is its area to 1 decimal place?

a)

18.8 cm²

b)

36.0 cm²

c)

9.4 cm²

d)

28.3 cm²

17.

A semicircle of diameter 10 cm is cut out from the center of a 14 cm by 8 cm rectangle, as shown. What is the area of the shaded region?

a)

72.7 cm^2

b)

86.2 cm^2

c)

96.6 cm^2

d)

92.5 cm^2

18.

A cuboid has dimensions 3 cm by 12 cm by 5 cm. What is its total surface area?

a)

186 cm^2

b)

246 cm^2

c)

222 cm^2

d)

282 cm^2

19.

A cylinder has radius 5 cm and height 17 cm. What is its volume? Give your answer to one decimal place.

a)

5340.0 cm^3

b)

1335.1 cm^3

c)

2678.6 cm^3

d)

1258.9 cm^3

20.

Solve for x: 8x + 40 = 3x + 5.

a)

x = -7

b)

x = 9

c)

x = -5

d)

x = 7

21.

Which equation correctly represents: "Five times (x + 3) equals three times (x + 9)"?

a)

5x + 3 = 3x + 9

b)

5(x + 3) = 3(x + 9)

c)

5x + 3x = 3x + 9

d)

5x + 15 = 3x + 9

22.

A number is divided by 2, then 1 is added, and the result is 7. What is the original number?

a)

x = 12

b)

x = 10

c)

x = 14

d)

x = 8

23.

Gregory is x years old. Daisy is 2 years older than Gregory. Their ages sum to 40. What is Daisy’s age?

a)

22 years

b)

19 years

c)

20 years

d)

21 years

24.

In a right triangle, angle θ is at the base. The opposite side is 3 cm and the hypotenuse is 6 cm. Which ratio should you use to find θ?

a)

cos θ = adjacent/hypotenuse

b)

sin θ = opposite/hypotenuse

c)

cot θ = hypotenuse/opposite

d)

tan θ = opposite/adjacent

25.

A right triangle has hypotenuse side 15 cm and opposite side 4cm to angle x as drawn. Which equation correctly finds x?

a)

cos x = 4/15

b)

sin x = 4/15

c)

sin x = 15/4

d)

tan x = 15/4

26.

For a right triangle with opposite side 10 cm and adjacent side 8 cm to angle x, which expression gives x?

a)

x = sin⁻¹(10/8)

b)

x = cos⁻¹(10/8)

c)

x = tan⁻¹(10/8)

d)

x = tan⁻¹(8/10)

27.

In a right triangle, the hypotenuse is 12 cm and one leg (adjacent to angle x) is 9 cm. What is x to the nearest degree?

a)

x ≈ 37°

b)

x ≈ 41°

c)

x ≈ 48°

d)

x ≈ 53°

28.

A right triangle has hypotenuse 20 cm and the side opposite angle x is 7 cm. Which is the best first step to find x?

a)

Use sin x = 20/7

b)

Use sin x = 7/20

c)

Use cos x = 7/20

d)

Use tan x = 7/20

29.

In a right triangle, angle x is at the base. The adjacent side is 1.2 m and the opposite side is 90 cm. What is x to the nearest degree? (1.2 m = 120 cm)

a)

x ≈ 37°

b)

x ≈ 53°

c)

x ≈ 43°

d)

x ≈ 67°

30.

The ratio of red to blue marbles is 2:7. What fraction of the marbles are red?

a)

7/9

b)

2/7

c)

2/14

d)

2/9

31.

Three friends share £132 in the ratio 3:2:1. How much does the friend with the smallest share receive?

a)

£66

b)

£33

c)

£22

d)

£44

32.

Make z the subject: z − 5 = t. Which is correct?

a)

z = t + 5

b)

z = t − 5

c)

z = 5 − t

d)

z = t ÷ 5

33.

A rectangle has a length of 9 cm and a width of 4 cm. What is its area?

a)

45 cm²

b)

18 cm²

c)

13 cm²

d)

36 cm²

34.

It takes 8 workers 6 days to build a wall. How many days would it take 12 workers to build the same wall, assuming they work at the same rate and the work is shared equally?

a)

4 days

b)

9 days

c)

8 days

d)

6 days

35.

If 5 machines can produce 200 units in 10 hours, how long would it take 10 machines to produce the same number of units, working at the same rate?

a)

10 hours

b)

5 hours

c)

2 hours

d)

20 hours

36.

A car travels a fixed distance at a speed of 60 km/h and takes 3 hours. If the speed is increased to 90 km/h, how long will it take to travel the same distance?

a)

2 hours

b)

1 hour

c)

4.5 hours

d)

1.5 hours

37.

Make x the subject: x − 7 = m. Which is correct?

a)

x = m ÷ 7

b)

x = 7 − m

c)

x = m − 7

d)

x = m + 7

38.

A rectangle has a length of 12 cm and a width of 5 cm. What is its area?

a)

60 cm²

b)

17 cm²

c)

24 cm²

d)

35 cm²

39.

A right triangle has an opposite side of 8 cm and an adjacent side of 6 cm to angle y. Which expression gives y?

a)

y = tan⁻¹(6/8)

b)

y = sin⁻¹(8/6)

c)

y = cos⁻¹(8/6)

d)

y = tan⁻¹(8/6)

40.

A quarter circle has a radius of 6 cm. What is the area of the quarter circle to 1 decimal place?

a)

28.3 cm²

b)

18.8 cm²

c)

9.4 cm²

d)

36.0 cm²

41.

A semicircle has a radius of 4 cm. What is its area to 1 decimal place?

a)

8.0 cm²

b)

12.6 cm²

c)

25.1 cm²

d)

16.0 cm²

42.

If 5 pencils cost £2.50, how much would 12 pencils cost, assuming the cost is directly proportional to the number of pencils?

a)

£5.50

b)

£4.80

c)

£7.20

d)

£6.00

43.

The distance travelled by a car is directly proportional to the time spent driving at a constant speed. If the car travels 150 km in 3 hours, how far will it travel in 5 hours?

a)

250 km

b)

200 km

c)

180 km

d)

300 km

44.

Water flows from a tap at a constant rate. If 8 litres are collected in 4 minutes, how many litres will be collected in 10 minutes?

a)

16 litres

b)

20 litres

c)

24 litres

d)

12 litres

45.

Solve the inequality: 3x + 5 > 11. What is the solution for x?

a)

x > 1

b)

x > 2

c)

x > -2

d)

x > -1

46.

If x/3 ≥ 4, which of the following is correct?

a)

x ≥ 12

b)

x ≤ 12

c)

x ≤ 7

d)

x ≥ 7

47.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

48.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

49.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

50.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

51.

Find the surface area of the rectangular prism with the following dimensions:
length = 16 m
height = 10 m
width = 11 m

a)

872 m squared

b)

752 m squared

c)

1,760 m squared

d)

892 m squared

52.

What is the surface area of this figure?

a)

3000 cm ²

b)

164 cm ²

c)

236 cm ²

d)

328 cm²

53.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 centimeters. What is the surface area of the brick?

a)

650 cm²

b)

600 cm²

c)

525 cm²

d)

450 cm²

54.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

55.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

56.

Find the surface area of the triangular prism.

a)

356 in²

b)

348 in²

c)

336 in²

d)

340 in²

57.

Find the Total Surface area of the cylinder.

a)

62.8m

b)

477.28 cm²

c)

235.5 cm³

d)

942 cm²

58.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

59.

Find the total surface area of the cylinder.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

60.

Find the total Surface Area of the cylinder. Round to the nearest tenth.

a)

3015.9 cm²

b)

1155.5 cm²

c)

578.1 cm²

d)

779.1 cm²

61.

Find the total surface area.

a)

140.25 cm²

b)

439.82 cm²

c)

219.91 cm²

d)

192.25 cm²

62.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

63.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

64.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

65.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

66.

Oscar is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

67.

Find the volume.

a)

55 m³

b)

53 m³

c)

56 m³

68.

Find the volume.

a)

275 ft³

b)

273 ft³

c)

270 ft³

69.

Find the volume.

a)

44 mm³

b)

40 mm

c)

40 mm³

70.

Find the volume.

a)

220 ft³

b)

200 ft³

c)

210 ft³

71.

Find the volume of a rectangular prism with side lengths of 6m, 12 m, and 11 m.

a)

58 m³

b)

270 m³

c)

540 m³

d)

792 m³

72.

a)

40 cm³

b)

11 cm
20 cm²

c)

20 cm³

d)

30 cm³

73.

Find the volume of the triangular prism.

a)

80 cm³

b)

15 cm²

c)

80

d)

40 cm³

74.

Find the volume:

a)

960 cm³

b)

240 cm³

c)

60 cm ²

d)

1920 cm³

75.

Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. What is the volume of the tent?

a)

840 feet³

b)

84 feet³

c)

420 feet³

d)

120 feet³

76.

Make w the subject of
A = lw

a)

w = A/l

b)

w = l/A

c)

w = A - l

d)

w = Al

77.

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

78.

Make r the subject:
C = 2πr

a)

r = C/2π

b)

r = C - 2π

c)

r = 2πC

d)

r = Cπ/2

79.

Change the subject of the equation to x.

A x - y = P

4 lines

80.

Change the subject of the equation to x.

A x - y = P

4 lines

81.

Solve for y:
3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

82.

$ax+r\ =\ 7\ \ Solve\ for\ r.$

a)

$r=\frac{7}{ax}$

b)

$r=7-ax$

c)

$r=7+ax$

d)

$r=7ax$

83.

$IR=V$ $Solve\ for\ R$

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

84.

$dx+e=f$
Which expression represents the value of x in the equation:

a)

$x=\frac{f+e}{d}$

b)

$x=\frac{f-e}{d}$

c)

$x=\frac{d}{e-f}$

d)

$x=\frac{d}{e+f}$

85.

w = mgh make h the subject of the formula

a)

w = mgh

b)

h = mg/w

c)

h = w/mg

d)

h = wg/

86.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

87.

Solve for x:
4(1-x)+3x=-2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

88.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

89.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

90.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

91.

4(y - 6) = 11 - y

a)

7

b)

17/5

c)

- 7

d)

- 17/5

92.

3x + 2 = 2(2x + 3)

a)

4

b)

-4

c)

1

d)

-1

93.

3(4r - 1) + 5 = 26

a)

-1

b)

2

c)

-2

d)

4

94.

3(2e + 5) + 8(1 - e) = 1

a)

11

b)

- 11

c)

13

d)

- 13

95.

5u - 7(2 - 3u) = 12

a)

-26/17

b)

13/4

c)

-13/4

d)

1

96.

4 - 8(2k - 1) = 14k

a)

2/5

b)

-2/5

c)

2/15

d)

-2/15

97.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

98.

solve for m:

\frac{2}{3}\left(9m-6\right)=20

a)

$m=4$

b)

$m=3$

c)

$m=2$

d)

$m=8$

99.

$Solve\ for\ c.\ \ \ \frac{3}{c}\ +\ 5\ =\ -10$

a)

c = 5

b)

c = -5

c)

$c\ =\frac{-1}{5}$

d)

$c\ =\ \frac{1}{5}$

e)

c = -45

100.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

$x=-\frac{1}{3}$

d)

$x=-29$

101.

What is the best step to solve the equation?

\frac{x}{-10}=4

a)

Add -10 to both sides

b)

Subtract -10 to both sides

c)

Multiply both sides by -10

d)

Divide both sides by -10

102.

y/-5 = 20

a)

y = 100

b)

y = -4

c)

y = -100

d)

y = -15

103.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

104.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

105.

Solve the inequality.

a)

a > 4

b)

a > 2

c)

a > 6

d)

a < 6

106.

Solve the inequality.

a)

k ≤ –11

b)

k ≤ –5

c)

k ≤ 8

d)

k ≤ –3

107.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

108.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

109.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

110.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

111.

Solve the following inequality:

$3x+15\le21$

a)

$x\ge2$

b)

$x=2$

c)

$x\le2$

d)

$x<2$

112.

Solve the following inequality:

$-2b+4>-6$

a)

$b>5$

b)

$x>5$

c)

$b=5$

d)

$b<5$

113.

Solve the following inequality:

$5\left(k+8\right)-7\le23$

a)

$k\le2$

b)

$k=-2$

c)

$k\le-2$

d)

$k<2$

114.

Solve the following inequality:

$4k+15>-2k+3$

a)

$k>2$

b)

$k=-2$

c)

$k>-2$

d)

$k<2$

115.

Solve the following inequality:

$2\left(-3m-5\right)\ge-28$

a)

$m=3$

b)

$m\ge3$

c)

$m\ge\frac{23}{6}$

d)

$m\le3$

116.

Solve the following inequality:

$-6\left(w+1\right)<2\left(w+5\right)$

a)

$w=-2$

b)

$w>-2$

c)

$w<2$

d)

$w>2$

117.

Find the shaded area

a)

100 in^2

b)

49.73 in^2

c)

50.27 in^2

d)

77.15 in^2

118.

Find the composite area.

a)

52

b)

26

c)

44

d)

38

119.

Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.

a)

23.14 m

b)

28.26 m

c)

14.13 m

d)

56.52 m

120.

Find the perimeter.

a)

27 ft

b)

36.85 ft

c)

37.68 ft

d)

46.26 ft

121.

Solve.

a)

78.5 cm²

b)

100 cm²

c)

21.5 cm²

d)

121.5 cm²

122.

What is the approximate area of the shaded region?

a)

70 cm²

b)

12 cm²

c)

82 cm²

d)

57 cm2

123.

Find the area of the shape.

a)

7.14 sq in

b)

4 sq in

c)

3.14 sq in

d)

16.56 sq in

124.

Find the area of the composite figure.

a)

178.5 m^2

b)

139.27 m^2

c)

137.5 m^2

d)

175 m^2

125.

The diagram below shows the dimensions of Mrs. Prothro’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?

a)

720 sq ft

b)

139.08 sq ft

c)

592.77 sq ft

d)

238.5 sq ft

126.

Which of the following is closest to the area of the figure shown?

a)

421 cm2

b)

521 cm²

c)

320 cm²

d)

1,124 cm²

127.

What is the approximate area of the logo?

a)

46 cm²

b)

32 cm²

c)

71 cm²

d)

85 cm²

128.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference ?

a)

11.32 ft

b)

12.25 ft

c)

11.00 ft

d)

10.99 ft

129.

After taking part in a competition, Yahir received a bronze medal with a radius of 2.5 inches. What is the medal's diameter?

a)

2.5 in

b)

5 in

c)

4 in

d)

4.5 in

130.

What is the perimeter of the semi-circle?

a)

11 yd

b)

17.27 yd

c)

34.54 yd

d)

28.28 yd

131.

Find the Perimeter of the Quarter Circle with a radius of 16 cm.

a)

51.13 cm

b)

100.48 cm

c)

25.12 cm

d)

50.24 cm

132.

Find the area of this quarter circle with a radius of 6 cm.

a)

56.52 cm

b)

113.04 cm

c)

28.27 cm

d)

37.68 cm

133.

A circle has an circumference of 56.52 cm. Find the area of the circle.

a)

1017.36 cm²

b)

254.34 cm²

c)

3194.51 cm²

d)

798.63 cm²

134.

Which is the correct formula for the area of a circle?

a)

A = π r²

b)

A = 2π r²

c)

A=πd

d)

A=π d²

135.

Which formulas can be used to find the circumference of a circle?

a)

C = π r²

b)

C = 2π r

c)

C = π d

d)

C = 2πd

136.

What is the area of this three quarter circle?

a)

763.4

b)

1017.4

c)

113

d)

84.8

137.

Find the area of this quarter circle with a radius of 18 cm.

a)

1017.36 cm

b)

254.46 cm

c)

26.52 cm

d)

123.65 cm

138.

Calculate the area of the triangle

a)

$30cm$

b)

30cm^2

c)

$32.5cm^2$

d)

$60cm^2$

139.

Calculate the area of the triangle

a)

$130cm^2$

b)

$65cm^2$

c)

$16.40cm$

d)

$65cm$

140.

Calculate the area of the triangle

a)

$180m^2$

b)

$20m^2$

c)

$180m$

d)

$36m$

141.

Calculate the area of the triangle

a)

$27cm^2$

b)

$12cm^2$

c)

$13.5cm^2$

d)

$6cm^2$

142.

(a)

143.

(a)

144.

If a triangle has a base of 19cm and a perpendicular height of 7cm, its area must be ? $cm^2$

(a)

145.

If a triangle has a base of 9cm and a perpendicular height of 14 cm, its area must be ? $cm^2$

(a)

146.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

147.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

148.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

149.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

150.

Give the Ratio for SIN X

a)

Opp/Adj

b)

Adj/Hyp

c)

Opp/Hyp

d)

Adj/Opp

151.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

152.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

153.

Choose the correct ratio.

a)

cos(33^o)=x/14

b)

sin(33^o)=x/14

c)

cos(33^o)=14/x

d)

sin(33^o)=14/x

154.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

155.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

156.

Set up the problem.

a)

sin(47) = x/28

b)

cos(47) = x/28

c)

tan(47) = x/28

d)

cos(47) = 28/x

157.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

158.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

159.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

160.

Solve for the missing distance.

a)

18.9

b)

19.5

c)

47.3

d)

27.5

161.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

162.

From ∠C, what side is BC?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

163.

From ∠C, what side is AC?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

164.

From ∠A, what side is AC?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

165.

From ∠A, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

166.

From ∠D, what side is DG?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

167.

From ∠D, what side is OG?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

168.

From ∠G, what side is OG?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

169.

From ∠G, what side is DO?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

170.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

171.

In relation to the angle θ, label the side marked b in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

172.

In relation to the angle θ, label the side marked c in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

173.

A ladder leans against a wall forming a 75-degree angle with the ground. If the base of the ladder is 4 feet away from the wall, how tall is the wall?

a)

12.0 feet

b)

18.2 feet

c)

10.5 feet

d)

14.3 feet

174.

A ramp is built at a 20-degree angle to the ground. If the ramp is 5 meters long, how high does it rise?

a)

1.71 meters

b)

3.14 meters

c)

2.50 meters

d)

4.00 meters

175.

A construction worker needs to determine the height of a crane that makes a 70-degree angle with the ground and is 20 meters long. What is the height of the crane?

a)

15.5 meters

b)

22.3 meters

c)

10.0 meters

d)

18.79 meters

176.

1. What is surface area?

a)

the area of each face of a 3D shape added together.

b)

the perimeter of each side of a 3D shape added together.

c)

the sum of the top and bottom of a 3D shape added together

d)

the area of two of the faces of a 3D shape added together.

177.

6. Find the Total Surface Area of the rectangular prism:

a)

192 cm²

b)

242 cm²

c)

302 cm²

d)

188 cm²

178.

9. Alex is wrapping a present for his brother. The present is in a box shaped like a rectangular prism with a height of 3in, a width of 5in, and a length of 10in. How much wrapping paper will Alex have to use to cover the entire box?

a)

190 in²

b)

90 in²

c)

220 in²

d)

140 in²

179.

11. Robbie has a cube with a side length of 14.4 cm. What is the total surface area of the cube? (Remember a cube has all equal sides!)

a)

829.44 cm²

b)

1244.16 cm²

c)

616.74 cm²

d)

908.24 cm²

180.

Find the surface area of the figure.

a)

203.67

b)

145.39

c)

207.83

d)

202.52

Pentagon Block 5 Assessment Revision

Total questions: 180

Worksheet time: 10hrs 5mins

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