Free Printable Progress Check 5

1.

A number, $x$ , is given as 4.05, correct to 2 decimal places. Complete the error interval for $x$ .

a)

A = 4.045

b)

B = 4.055

c)

B = 4.065

d)

B = 4.06

e)

A = 4.04

2.

A number, $x$ , is given as 3.20, correct to 2 significant figures. Complete the error interval for $x$ .

a)

A = 3.195

b)

B = 3.205

c)

B = 3.215

d)

B = 3.20

e)

A = 3.19

3.

A number, $x$ , is given as 75, rounded to the nearest 5. Complete the error interval for $x$ .

a)

A = 72.5

b)

B = 77.5

c)

B = 80

d)

B = 75.5

e)

A = 70

4.

A number, $x$ , is given as 120, rounded to the nearest 5. Complete the error interval for $x$ .

a)

A = 117.5

b)

B = 122.5

c)

B = 125

d)

B = 120.5

e)

A = 115

5.

A number, $x$ , is given as 19, rounded to the nearest whole number. Complete the error interval for $x$ .

a)

A = 18.5

b)

B = 19.5

c)

B = 20.5

d)

B = 20

e)

A = 19

6.

A number, $x$ , is given as 4.05, truncated to 3 significant figures. Complete the error interval for $x$ .

a)

A = 4.045

b)

B = 4.055

c)

A = 4.04

d)

B = 4.06

e)

A = 4.05

7.

A number, $x$ , is given as 3.20, truncated to 3 significant figures. Complete the error interval for $x$ .

a)

A = 3.195

b)

B = 3.205

c)

B = 3.21

d)

A = 3.20

e)

A = 3.19

8.

A number, $x$ , is given as 75, truncated to 2 significant figures. Complete the error interval for $x$ .

a)

A = 74.5

b)

B = 75.5

c)

A = 75

d)

B = 76

e)

A = 74

9.

A number, $x$ , is given as 120, rounded to 3 significant figures. Complete the error interval for $x$ .

a)

A = 119.5

b)

B = 120.5

c)

B = 121

d)

A = 119

e)

A = 120

10.

A number, $x$ , is given as 19, truncated to 2 significant figures. Complete the error interval for $x$ .

a)

A = 18.5

b)

B = 19.5

c)

A = 18

d)

B = 20

e)

A = 19

11.

Simplify and select the two possible correct answers.

$h^3\times h^{-3}$

a)

$h^0$

b)

$1$

c)

$h^6$

d)

$h$

e)

0

12.

Simplify and select the two possible correct answers.

$\frac{e^5}{e^5}$

a)

$e^0$

b)

$1$

c)

$e^{10}$

d)

$e^1$

e)

$e$

13.

Simplify and select the two possible correct answers.

$x^7\times x^{-6}$

a)

$x^1$

b)

$x$

c)

$x^{13}$

d)

$x^0$

e)

$1$

14.

Simplify.
$\frac{y^8}{y^4}$

a)

$y^4$

b)

$y^2$

c)

$y^{12}$

d)

$y^{32}$

15.

Simplify.
$\frac{z^9}{z^3}$

a)

$z^6$

b)

$z^3$

c)

$z^{12}$

d)

$z^{27}$

16.

Factorise

x^2+6x+8

a)

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

b)

$\left(x+1\right)\left(x+8\right)$

c)

$\left(x+3\right)\left(x+2\right)$

d)

$\left(x-1\right)\left(x+7\right)$

17.

Factorise
$x^2-2x-15$

a)

$\left(x-5\right)\left(x+3\right)$

b)

$\left(x-5\right)\left(x-3\right)$

c)

$\left(x+5\right)\left(x-3\right)$

d)

$\left(x+5\right)\left(x+3\right)$

18.

Factorise
$x^2+2x-15$

a)

$\left(x-5\right)\left(x+3\right)$

b)

$\left(x-5\right)\left(x-3\right)$

c)

$\left(x+5\right)\left(x-3\right)$

d)

$\left(x+5\right)\left(x+3\right)$

19.

Factorise
$x^2-8x+15$

a)

$\left(x-5\right)\left(x+3\right)$

b)

$\left(x-5\right)\left(x-3\right)$

c)

$\left(x+5\right)\left(x-3\right)$

d)

$\left(x+5\right)\left(x+3\right)$

20.

Factorise
$x^2+8x+15$

a)

$\left(x-5\right)\left(x+3\right)$

b)

$\left(x-5\right)\left(x-3\right)$

c)

$\left(x+5\right)\left(x-3\right)$

d)

$\left(x+5\right)\left(x+3\right)$

21.

Solve
$\left(x-5\right)\left(x-3\right)=0$

a)

$x=5$ or $x=3$

b)

$x=5$ or $x=-3$

c)

$x=-5$ or $x=3$

d)

$x=-5$ or $x=-3$

22.

Solve
$\left(x-5\right)\left(x+3\right)=0$

a)

$x=5$ or $x=3$

b)

$x=5$ or $x=-3$

c)

$x=-5$ or $x=3$

d)

$x=-5$ or $x=-3$

23.

Solve
$\left(x+5\right)\left(x-3\right)=0$

a)

$x=5$ or $x=3$

b)

$x=5$ or $x=-3$

c)

$x=-5$ or $x=3$

d)

$x=-5$ or $x=-3$

24.

$\sin x=\frac{12}{13}$

a)

$x=\sin^{-1}\left(\frac{12}{13}\right)$

b)

$x=12\sin13$

c)

$x=\frac{\sin12}{13}$

d)

$x=\frac{12}{\sin13}$

25.

Solve
$\left(x+5\right)\left(x+3\right)=0$

a)

$x=5$ or $x=3$

b)

$x=5$ or $x=-3$

c)

$x=-5$ or $x=3$

d)

$x=-5$ or $x=-3$

26.

$5.24\times10^5$

a)

524000

b)

52400

c)

52400000

d)

5240000

27.

$8.79\times10^7$

a)

87900000

b)

8790000000

c)

8790000

d)

879000000

28.

$2.14\times10^4$

a)

21400

b)

2140

c)

2140000

d)

214000

29.

$5.24\times10^{-5}$

a)

0.0000524

b)

0.00000524

c)

0.000524

d)

0.00524

30.

$8.79\times10^{-7}$

a)

0.000000879

b)

0.0000000879

c)

0.00000879

d)

0.00000000879

31.

$2.14\times10^{-4}$

a)

0.000214

b)

0.0000214

c)

0.00000214

d)

0.00214

32.

A sesame seed weighs $3.64\times10^{-6}$ kg.

How do I convert the weight to grams?

a)

$\times1000$

b)

$\div1000$

c)

$\times100$

d)

$\div100$

33.

A sesame seed weighs $0.00000364$ kg.
How do I convert the weight to grams?

a)

$\times1000$

b)

$\div1000$

c)

$\times100$

d)

$\div100$

34.

A sesame seed weighs $0.00000364$ kg.
What is the weight in grams?

a)

$0.00364$ g

b)

$0.000364$ g

c)

$0.00000000364$ g

d)

$0.0000000364$ g

35.

Sarah travels 36 km in 30 minutes.
What is her speed?

a)

72 km/h

b)

18 km/h

c)

12 km/h

d)

108 km/h

36.

Sarah travels 36 km in 20 minutes.
What is her speed?

a)

72 km/h

b)

18 km/h

c)

144 km/h

d)

108 km/h

37.

Sarah travels 36 km in 15 minutes.
What is her speed?

a)

72 km/h

b)

18 km/h

c)

144 km/h

d)

108 km/h

38.

Sarah travels 36 km in 45 minutes.
How far does she travel in 15 minutes?

a)

12 km

b)

9 km

c)

144 km

d)

108 km

39.

Sarah travels 36 km in 40 minutes.
How far does she travel in 10 minutes?

a)

12 km

b)

9 km

c)

144 km

d)

108 km

40.

Sarah travels 36 km in 40 minutes.
How far does she travel in 20 minutes?

a)

12 km

b)

18 km

c)

72 km

d)

108 km

41.

Sarah travels 9 km in 10 minutes.
What is her speed?

a)

54 km/h

b)

18 km/h

c)

90 km/h

d)

72 km/h

42.

Sarah travels 12 km in 10 minutes.
What is her speed?

a)

54 km/h

b)

18 km/h

c)

120 km/h

d)

72 km/h

43.

Sarah travels 12 km in 15 minutes.
What is her speed?

a)

48 km/h

b)

60 km/h

c)

180 km/h

d)

36 km/h

44.

Sarah travels 10 km in 5 minutes.
What is her speed?

a)

120 km/h

b)

50 km/h

c)

60 km/h

d)

2 km/h

45.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.

What fraction does Colin get?

a)

$\frac{5}{12}$

b)

$\frac{5}{7}$

c)

$\frac{3}{9}$

d)

$\frac{4}{8}$

46.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Colin gives $\frac{1}{3}$ of his share away.
What proportion does he give away?

a)

$\frac{1}{3}\times\frac{5}{12}$

b)

$\frac{1}{3}\times\frac{5}{7}$

c)

$\frac{1}{3}\div\frac{5}{12}$

d)

$\frac{1}{3}\div\frac{5}{7}$

47.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Barry gets £400. How much does Anne get?

a)

£300

b)

£200

c)

£400

d)

£500

48.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Barry gets £800. How much does Anne get?

a)

£300

b)

£600

c)

£400

d)

£1000

49.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Barry gets £400. How much does Colin get?

a)

£500

b)

£400

c)

£300

d)

£1200

50.

Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Barry gets £400. How much do they share in total?

a)

£500

b)

£400

c)

£300

d)

£1200

51.

a)

Gradient: $m=2$

b)

y-intercept: $c=1$

c)

Gradient: $m=1$

d)

Gradient: $m=0.5$

e)

y-intercept: $c=2$

52.

a)

Equation: $y=2x+1$

b)

Equation: $y=\frac{1}{2}x+1$

c)

Equation: $y=x+2$

d)

Equation: $y=x+\frac{1}{2}$

53.

a)

Gradient: $m=2$

b)

Gradient: $m=-1$

c)

y-intercept: $c=-1$

d)

Gradient: $m=0.5$

e)

y-intercept: $c=2$

54.

a)

Equation: $y=2x-1$

b)

Equation: $y=-x+2$

c)

Equation: $y=0.5x-1$

d)

Equation: $y=-x+0.5$

55.

a)

Gradient: $m=2$

b)

Gradient: $m=-2$

c)

Gradient: $m=3$

d)

y-intercept: $c=3$

e)

y-intercept: $c=-2$

56.

a)

Equation: $y=-2x+3$

b)

Equation: $y=3x-2$

c)

Equation: $y=-0.5x+3$

d)

Equation: $y=3x-0.5$

57.

a)

y-intercept: $c=2$

b)

y-intercept: $c=-2$

c)

Gradient: $m=2$

d)

y-intercept: $c=0.5$

e)

Gradient: $m=-2$

58.

a)

Equation: $y=-2x+2$

b)

Equation: $y=2x-2$

c)

Equation: $y=-0.5x+2$

d)

Equation: $y=2x-0.5$

59.

a)

Gradient: $m=2$

b)

Gradient: $m=-2$

c)

y-intercept: $c=2$

d)

Gradient: $m=\frac{1}{2}$

e)

y-intercept: $c=\frac{1}{2}$

60.

a)

Equation: $y=-2x+2$

b)

Equation: $y=2x+2$

c)

Equation: $y=\frac{1}{2}x+2$

d)

Equation: $y=2x+\frac{1}{2}$

61.

a)

Area = $\frac{1}{2}\left(5\right)\left(12\right)$ = 30 cm²

b)

Area = $\left(5\right)\left(12\right)$ = 60 cm²

c)

Area = $\frac{1}{2}\left(5\right)\left(13\right)$ = 32.5 cm²

d)

Area = $\left(5\right)\left(13\right)$ = 65 cm²

e)

Area = $\left(5\right)\left(12\right)\left(13\right)$ = 780 cm²

62.

a)

Area = $\frac{1}{2}\left(6\right)\left(8\right)$ = 24 cm²

b)

Area = $\left(6\right)\left(8\right)$ = 48 cm²

c)

Area = $\frac{1}{2}\left(6\right)\left(10\right)$ = 30 cm²

d)

Area = $\left(6\right)\left(10\right)$ = 60 cm²

e)

Area = $\left(6\right)\left(8\right)\left(10\right)$ = 480 cm²

63.

a)

Area = $\frac{1}{2}\left(3\right)\left(4\right)$ = 6 cm²

b)

Area = $\left(3\right)\left(4\right)$ = 12 cm²

c)

Area = $\frac{1}{2}\left(3\right)\left(5\right)$ = 7.5 cm²

d)

Area = $\frac{1}{2}\left(4\right)\left(5\right)$ = 10 cm²

e)

Area = $\left(3\right)\left(4\right)\left(5\right)$ = 60 cm²

64.

a)

Area = $\frac{1}{2}xy$

b)

Area = $xy$

c)

Area = $\frac{1}{2}xz$

d)

Area = $\frac{1}{2}yz$

e)

Area = $xyz$

65.

$\sin x=\frac{25}{27}$

a)

$x=\sin^{-1}\left(\frac{25}{27}\right)$

b)

$x=27\sin25$

c)

$x=\frac{\sin25}{27}$

d)

$x=\frac{27}{\sin25}$

66.

$\cos30=\frac{x}{12}$

a)

$x=\cos^{-1}\left(\frac{30}{12}\right)$

b)

$x=12\cos30$

c)

$x=\frac{\cos30}{12}$

d)

$x=\frac{12}{\cos30}$

67.

$\tan60=\frac{8}{x}$

a)

$x=\tan^{-1}\left(\frac{8}{60}\right)$

b)

$x=8\tan60$

c)

$x=\frac{\tan60}{8}$

d)

$x=\frac{8}{\tan60}$

68.

$\cos x=\frac{14}{15}$

a)

$x=\cos^{-1}\left(\frac{14}{15}\right)$

b)

$x=15\cos14$

c)

$x=\frac{\cos14}{15}$

d)

$x=\frac{14}{\cos15}$

69.

$\tan x=\frac{11}{23}$

a)

$x=\tan^{-1}\left(\frac{11}{23}\right)$

b)

$x=23\cos11$

c)

$x=\frac{\cos23}{11}$

d)

$x=\frac{11}{\cos23}$

70.

$\sin30=\frac{x}{9}$

a)

$x=\sin^{-1}\left(\frac{9}{30}\right)$

b)

$x=9\sin30$

c)

$x=\frac{\sin30}{9}$

d)

$x=\frac{9}{\sin30}$

71.

$\tan72=\frac{x}{5}$

a)

$x=\tan^{-1}\left(\frac{5}{72}\right)$

b)

$x=5\tan72$

c)

$x=\frac{\tan72}{5}$

d)

$x=\frac{5}{\tan72}$

72.

$\sin29=\frac{3.5}{x}$

a)

$x=\sin^{-1}\left(\frac{3.5}{29}\right)$

b)

$x=3.5\sin29$

c)

$x=\frac{\sin29}{3.5}$

d)

$x=\frac{3.5}{\sin29}$

73.

$\cos66=\frac{7}{x}$

a)

$x=\cos^{-1}\left(\frac{7}{66}\right)$

b)

$x=7\cos66$

c)

$x=\frac{\cos66}{7}$

d)

$x=\frac{7}{\cos66}$

74.

$\tan x=\frac{25}{31}$

a)

$x=\tan^{-1}\left(\frac{25}{31}\right)$

b)

$x=25\tan31$

c)

$x=\frac{\tan25}{31}$

d)

$x=\frac{25}{\tan31}$

75.

$\cos x=\frac{34}{35}$

a)

$x=\cos^{-1}\left(\frac{34}{35}\right)$

b)

$x=34\cos35$

c)

$x=\frac{\cos34}{35}$

d)

$x=\frac{34}{\cos35}$

Progress Check 5

Total questions: 75

Worksheet time: 19hrs 45mins

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