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Worksheets

Maths Methods Unit 4 Formulas

Total questions: 76

Worksheet time: 19hrs 46mins

Name
Class
Date
1.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

2.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

3.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

4.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

Pythagoras

5.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

6.

a)

SOH

b)

CAH

c)

TOA

d)

Pythagoras

e)

COSINE

7.

a)

SOH

b)

CAH

c)

TOA

d)

Pythagoras

e)

COSINE

8.

a)

Calculate area using SINE

b)

Calculate area using COSINE

c)

Calculate area using 0.5bcSin(A)

d)

Calculate area using TOA

e)

Calculate area using Heron's

9.

a)

Calculate area using SINE

b)

Calculate area using COSINE

c)

Calculate area using 0.5bcSin(A)

d)

Calculate area using TOA

e)

Calculate area using Heron's

10.

a)

Calculate area using SINE

b)

Calculate area using COSINE

c)

Calculate area using 0.5bcSin(A)

d)

Calculate area using TOA

e)

Calculate area using Heron's

11.

a)

Calculate area using SINE

b)

Calculate area using COSINE

c)

Calculate area using 0.5bcSin(A)

d)

Calculate area using TOA

e)

Calculate area using Heron's

12.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

13.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

14.

a)

SOH

b)

CAH

c)

TOA

d)

SINE

e)

COSINE

15.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

16.

a)

Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

17.

How do you find standard deviation?

a)

square root mean

b)

square root variance

c)

square mean

d)

square variance

18.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

19.

a)

Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

20.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

21.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

22.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

23.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

24.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

25.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

26.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

27.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

28.

a)

Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

29.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

30.

a)

Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

31.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

32.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

33.

What proportion of data is within 1 SD of the mean?

a)

65

b)

98

c)

95

d)

68

e)

99.7

34.

What proportion of data is within 2 SD of the mean?

a)

65

b)

98

c)

95

d)

68

e)

99.7

35.

What proportion of data is within 3 SD of the mean?

a)

65

b)

98.7

c)

95

d)

68

e)

99.7

36.
a)

Can solve on G.C

b)

Can't solve on G.C

37.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

38.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

39.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

40.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

41.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

42.

What number is the mean?

a)

100

b)

15

c)

4

d)

2

e)

68

43.

What number is the variance?

a)

100

b)

15

c)

4

d)

2

e)

68

44.

What number is the standard deviation?

a)

100

b)

15

c)

4

d)

2

e)

68

45.

a)

E=z×S(p)E=z\times S\left(p\right)

b)

x−μσ\frac{x-\mu}{\sigma}

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

46.

a)

E=z×S(p)E=z\times S\left(p\right)

b)

x−μσ\frac{x-\mu}{\sigma}

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

47.

a)

E=z×S(p)E=z\times S\left(p\right)

b)

x−μσ\frac{x-\mu}{\sigma}

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

48.

a)

E=z×S(p)E=z\times S\left(p\right)

b)

x−μσ\frac{x-\mu}{\sigma}

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

49.

a)

E=z×S(p)E=z\times S\left(p\right)

b)

x−μσ\frac{x-\mu}{\sigma}

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

50.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

51.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

52.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

53.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

54.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

55.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

56.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

57.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

58.

a)

square root Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

square root Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

square root Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

59.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

60.

a)

square root Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

square root Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

square root Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

61.

Do you calculate the z score?

a)

Yes

b)

No

62.

Do you check for normality (bell curve)?

a)

Yes

b)

No

63.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

64.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

65.

Do you check for normality (bell curve)?

a)

Yes

b)

No

66.

Do you calculate the z score?

a)

Yes

b)

No

67.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

68.

What turning point goes: positive gradient, zero, negative gradient?

a)

Minimum

b)

Inflection

c)

Maximum

d)

None

69.

What turning point goes: negative gradient, zero, negative gradient?

a)

Minimum

b)

Inflection

c)

Maximum

d)

None

70.

What turning point goes: negative gradient, zero, positive gradient?

a)

Minimum

b)

Inflection

c)

Maximum

d)

None

71.

What turning point goes: positive gradient, zero, positive gradient?

a)

Minimum

b)

Inflection

c)

Maximum

d)

None

72.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

73.

a)

E(X)=μ=∑pxE\left(X\right)=\mu=\sum_{ }^{ }px

b)

E(X)=μ=∫xp(x)dxE\left(X\right)=\mu=\int xp\left(x\right)dx

c)

E(X)=npE\left(X\right)=np

d)

E(X)=p‾E\left(X\right)=\overline{p}

74.

a)

square root Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

square root Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

square root Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

75.

a)

square root Var(X)=∑p(x−μ)2Var\left(X\right)=\sum_{ }^{ }p\left(x-\mu\right)^2

b)

square root Var(X)=∫(x−μ)2p(x)dxVar\left(X\right)=\int_{ }^{ }\left(x-\mu\right)^2p\left(x\right)dx

c)

square root Var(X)=np(1−p)Var\left(X\right)=np\left(1-p\right)

d)

S(X)=p(1−p)nS\left(X\right)=\sqrt{\frac{p\left(1-p\right)}{n}}

76.

a)

Binompdf(total number of trials, probability of success, value of x)

b)

normalcdf(lower, upper, mean, SD)

c)

invNorm(area to left, mean, SD)

d)

invNorm(area to left, 0, 1)

e)

(p−zp(1−p)n, p+zp(1−p)n)\left(p-z\sqrt{\frac{p\left(1-p\right)}{n}},\ p+z\sqrt{\frac{p\left(1-p\right)}{n}}\right)

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80 questions

Quiz – Explorando os Menus do Word com Criatividade

quiz

Worksheet

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11th Grade - University

Números inteiros e Operações básicas

75 questions

Números inteiros e Operações básicas

quiz

Worksheet

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1st Grade - University

UAE Coordinates

80 questions

UAE Coordinates

quiz

Worksheet

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4th Grade - University

Coordinate Geometry

76 questions

Coordinate Geometry

quiz

Worksheet

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9th - 12th Grade