Free Printable Progress Check 6

1.

$2.63\times10^5$

a)

263000

b)

26300

c)

26300000

d)

2630000

2.

$5.21\times10^4$

a)

52100

b)

521000

c)

5210000

d)

52100000

3.

$7.62\times10^3$

a)

7620

b)

762

c)

76200

d)

762000

4.

$4.19\times10^7$

a)

41900000

b)

419000000

c)

4190000

d)

4190000000

5.

$2.1856\times10^4$

a)

21856

b)

2185.6

c)

2185600

d)

218560000

6.

$3.4\times10^5$

a)

340000

b)

3400000

c)

34000

d)

3400000

7.

$6\times10^4$

a)

60000

b)

6000

c)

600000

d)

6000000

8.

$8.587\times10^6$

a)

8587000

b)

858700

c)

858700000

d)

8687000000

9.

$9.419\times10^2$

a)

941.9

b)

9419

c)

94190

d)

941900

10.

$5.23\times10^{-3}$

a)

0.00523

b)

0.000523

c)

0.0523

d)

0.0000523

11.

$241000$

a)

$2.41\times10^5$

b)

$2.41\times10^6$

c)

$2.41\times10^3$

d)

$2.41\times10^4$

12.

$9120000$

a)

$9.12\times10^6$

b)

$9.12\times10^7$

c)

$9.12\times10^4$

d)

$9.12\times10^5$

13.

$4145$

a)

$4.145\times10^3$

b)

$4.145\times10^0$

c)

$4.145\times10^1$

d)

$4.145\times10^2$

14.

$0.000546$

a)

$5.46\times10^{-4}$

b)

$5.46\times10^{-3}$

c)

$546\times10^{-4}$

d)

$546\times10^{-3}$

15.

$0.043$

a)

$\ 4.3\times10^{-2}$

b)

$4.3\times10^{-1}$

c)

$43\times10^{-1}$

d)

$43\times10^{-2}$

16.

Factorise

x^2-25x

a)

$x\left(x-25\right)$

b)

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

c)

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

d)

$\left(x+25\right)\left(x-25\right)$

17.

Factorise
$x^2-25$

a)

$x\left(x-25\right)$

b)

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

c)

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

d)

$\left(x+25\right)\left(x-25\right)$

18.

Factorise
$x^2-9x$

a)

$x\left(x-9\right)$

b)

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

c)

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

d)

$\left(x+9\right)\left(x-9\right)$

19.

Factorise
$x^2-9$

a)

$x\left(x-9\right)$

b)

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

c)

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

d)

$\left(x+9\right)\left(x-9\right)$

20.

Factorise
$x^2-4$

a)

$x\left(x-4\right)$

b)

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

c)

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

d)

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

21.

Factorise
$x^2-4x$

a)

$x\left(x-4\right)$

b)

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

c)

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

d)

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

22.

Factorise
$36x-x^2$

a)

$x\left(36-x\right)$

b)

$\left(6+x\right)\left(6-x\right)$

c)

$6x\left(6-x\right)$

d)

$\left(36+x\right)\left(36-x\right)$

23.

Factorise
$36-x^2$

a)

$x\left(36-x\right)$

b)

$\left(6+x\right)\left(6-x\right)$

c)

$6x\left(6-x\right)$

d)

$\left(36+x\right)\left(36-x\right)$

24.

Factorise
$16-x^2$

a)

$x\left(16-x\right)$

b)

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

c)

$4x\left(4-x\right)$

d)

$\left(16+x\right)\left(16-x\right)$

25.

Factorise
$4x^2-25x$

a)

$x\left(4x-25\right)$

b)

$\left(2x+5\right)\left(2x-5\right)$

c)

$5x\left(4x-5\right)$

d)

$\left(4x+25\right)\left(4x-25\right)$

26.

Factorise
$4x^2-25$

a)

$x\left(4x-25\right)$

b)

$\left(2x+5\right)\left(2x-5\right)$

c)

$5x\left(4x-5\right)$

d)

$\left(4x+25\right)\left(4x-25\right)$

27.

Factorise
$25x^2-9x$

a)

$x\left(25x-9\right)$

b)

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

c)

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

d)

$\left(25x+9\right)\left(25x-9\right)$

28.

Factorise
$25x^2-9$

a)

$x\left(25x-9\right)$

b)

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

c)

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

d)

$\left(25x+9\right)\left(25x-9\right)$

29.

Factorise
$8x^2-24x$

a)

$8x\left(x-3\right)$

b)

$4x\left(2x-6\right)$

c)

$2x\left(4x-12\right)$

d)

$x\left(8x-24\right)$

30.

Factorise
$32x^2-24x$

a)

$8x\left(4x-3\right)$

b)

$4x\left(8x-6\right)$

c)

$2x\left(16x-12\right)$

d)

$x\left(32x-24\right)$

31.

Factorise
$24x^2-36x$

a)

$12x\left(2x-3\right)$

b)

$6x\left(4x-6\right)$

c)

$4x\left(6x-9\right)$

d)

$3x\left(8x-12\right)$

32.

Factorise
$18x^2-12x$

a)

$6x\left(3x-2\right)$

b)

$9x\left(2x-1\right)$

c)

$3x\left(6x-4\right)$

d)

$2x\left(9x-6\right)$

33.

Factorise
$x^2+6x+8$

a)

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

b)

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

c)

$x\left(x+6\right)+8$

d)

$\left(x+6\right)\left(x+8\right)$

34.

Factorise
$x^2+7x+10$

a)

$\left(x+5\right)\left(x+2\right)$

b)

$\left(x+4\right)\left(x+3\right)$

c)

$x\left(x+7\right)+10$

d)

$\left(x+7\right)\left(x+10\right)$

35.

Factorise
$x^2+10x+16$

a)

$\left(x+8\right)\left(x+2\right)$

b)

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

c)

$\left(x+3\right)\left(x+7\right)$

d)

$\left(x+10\right)\left(x+16\right)$

36.

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)

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

37.

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)

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

38.

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)

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

39.

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)

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

40.

Factorise
$x^2+7x+10$

a)

$\left(x+5\right)\left(x+2\right)$

b)

$\left(x+5\right)\left(x-2\right)$

c)

$\left(x-5\right)\left(x+2\right)$

d)

$\left(x-5\right)\left(x-2\right)$

41.

Factorise
$x^2-7x+10$

a)

$\left(x+5\right)\left(x+2\right)$

b)

$\left(x+5\right)\left(x-2\right)$

c)

$\left(x-5\right)\left(x+2\right)$

d)

$\left(x-5\right)\left(x-2\right)$

42.

Factorise
$x^2+3x-10$

a)

$\left(x+5\right)\left(x+2\right)$

b)

$\left(x+5\right)\left(x-2\right)$

c)

$\left(x-5\right)\left(x+2\right)$

d)

$\left(x-5\right)\left(x-2\right)$

43.

Factorise
$x^2-3x-10$

a)

$\left(x+5\right)\left(x+2\right)$

b)

$\left(x+5\right)\left(x-2\right)$

c)

$\left(x-5\right)\left(x+2\right)$

d)

$\left(x-5\right)\left(x-2\right)$

44.

George invests £5000 at compound interest 2.5% for 3 years.

Select all that apply.

a)

$Pm^t=A$

b)

$P\times r\times t=A$

c)

$m=0.025$

d)

$m=1.025$

e)

$m=2.5$

45.

George invests £5000 at compound interest 2.5% for 3 years. Select the correct calculation.

a)

$5000\left(1.025\right)^3$

b)

$5000\left(2.5\right)^3$

c)

$5000\left(0.975\right)^3$

d)

$5000\left(1.25\right)^3$

e)

$5000\left(0.025\right)^3$

46.

Leon invests £2000 at compound interest 4% for 5 years. Select the correct calculation.

a)

$2000\left(1.04\right)^5$

b)

$2000\left(1.05\right)^4$

c)

$2000\left(0.96\right)^5$

d)

$2000\left(4\right)^5$

e)

$2000\left(0.04\right)^5$

47.

Dan invests £7000 at compound interest 1.5% for 4 years. Select the correct calculation.

a)

$7000\left(1.015\right)^4$

b)

$7000\left(1.15\right)^4$

c)

$7000\left(0.985\right)^4$

d)

$7000\left(0.85\right)^4$

e)

$7000\left(0.015\right)^4$

48.

Molly invests £3400 at compound interest 4.5% for 9 years.

a)

$Pm^t=A$

b)

$P\times r\times t=A$

c)

$m=0.045$

d)

$m=1.045$

e)

$m=4.5$

49.

Jake invests £5600 at compound interest 3.1% for 11 years.

a)

$Pm^t=A$

b)

$P\times r\times t=A$

c)

$m=0.031$

d)

$m=1.031$

e)

$m=3.1$

50.

Lauren invests £11500 at compound interest 0.7% for 11 years.

a)

$Pm^t=A$

b)

$P\times r\times t=A$

c)

$m=0.007$

d)

$m=1.007$

e)

$m=1.7$

51.

Joey buys a house for £125,000. It appreciates at 2.7% for 3 years. Select the correct calculation.

a)

$125000\left(1.027\right)^3$

b)

$125000\left(2.7\right)^3$

c)

$125000\left(0.973\right)^3$

d)

$125000\left(1.27\right)^3$

e)

$125000\left(0.027\right)^3$

52.

Harry buys a house for £145,000. It appreciates at 1.2% for 3 years. Select the correct calculation.

a)

$145000\left(1.012\right)^3$

b)

$145000\left(1.2\right)^3$

c)

$145000\left(0.988\right)^3$

d)

$145000\left(1.12\right)^3$

e)

$145000\left(0.012\right)^3$

53.

Hattie buys a car for £12,000. It depreciates at 15% per year. Select the correct calculation to find its value at the end of 7 years.

a)

$12000\left(0.85\right)^7$

b)

$12000\left(1.15\right)^7$

c)

$12000\left(1.015\right)^7$

d)

$12000\left(0.15\right)^7$

e)

$12000\left(0.985\right)^7$

54.

Kaleb buys a car for £15,000. It depreciates at 20% per year. Select the correct calculation to find its value at the end of 4 years.

a)

$15000\left(0.8\right)^4$

b)

$15000\left(0.08\right)^4$

c)

$15000\left(1.2\right)^4$

d)

$15000\left(0.2\right)^4$

e)

$15000\left(1.8\right)^4$

55.

$y=mx+c$

Find

c

when

m=2

and

\left(x,y\right)=\left(4,12\right)

a)

4

b)

3

c)

2

d)

5

56.

$y=mx+c$

Find $c$ when $m=2$ and $\left(x,y\right)=\left(3,12\right)$

a)

6

b)

5

c)

4

d)

3

57.

$y=mx+c$

Find $c$ when $m=3$ and $\left(x,y\right)=\left(3,17\right)$

a)

8

b)

9

c)

10

d)

11

58.

$y=mx+c$

Find $c$ when $m=3$ and $\left(x,y\right)=\left(4,17\right)$

a)

5

b)

4

c)

3

d)

2

59.

$y=mx+c$

Find $c$ when $m=3$ and $\left(x,y\right)=\left(5,17\right)$

a)

5

b)

4

c)

3

d)

2

60.

$y=mx+c$

Find $c$ when $m=3$ and $\left(x,y\right)=\left(3,12\right)$

a)

5

b)

4

c)

3

d)

2

61.

$y=mx+c$

Find $c$ when $m=3$ and $\left(x,y\right)=\left(4,16\right)$

a)

5

b)

4

c)

3

d)

2

62.

$y=mx+c$

Find $c$ when $m=6$ and $\left(x,y\right)=\left(2,15\right)$

a)

5

b)

4

c)

3

d)

2

63.

$y=mx+c$

Find $c$ when $m=4$ and $\left(x,y\right)=\left(8,38\right)$

a)

6

b)

5

c)

4

d)

7

64.

State the exact value of sin 30°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

65.

State the exact value of cos 60°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

66.

State the exact value of cos 0°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

67.

State the exact value of sin 0°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

68.

State the exact value of sin 60°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

69.

State the exact value of cos 30°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

70.

State the exact value of sin 45°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

71.

State the exact value of cos 45°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

72.

State the exact value of cos 90°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

73.

State the exact value of sin 90°

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$0$

e)

$1$

74.

State the exact value of tan 30°

a)

$1$

b)

$\sqrt{3}$

c)

undefined

d)

$0$

e)

$\frac{1}{\sqrt{3}}$

75.

State the exact value of tan 60°

a)

$1$

b)

$\sqrt{3}$

c)

undefined

d)

$0$

e)

$\frac{1}{\sqrt{3}}$

Progress Check 6

Total questions: 75

Worksheet time: 19hrs 45mins

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