Free Printable G7 Ext Sem 2 Review

Worksheets

G7 Ext Sem 2 Review

Total questions: 50

Worksheet time: 2hrs 23mins

Name

Class

Date

Solve
16a² - 9 = 0

a = ^-3/₄, ³/₄

a = ^-4/₃, ⁴/₃

a = ^-9/₁₆, ⁹/₁₆

a = ^-16/₉, ¹⁶/₉

Solve the following quadratic...

x² - 16 = 0

x = -2, 8

x = 2, -8

x = 4, -4

x = -1, -16

3x²+9x-30=0

x= 2, -5

x= 5, -2

x= -5, -2

Solve using the Zero-Product Property.

7x(x − 6) = 0

x =7 and x = −6

x = 0 and x = 6

x = 0 and x = −6

x = 7 and x = 6

Solve the equation:

x² - 2x = 8

x = 2 or x = -4

x = 1 or x = -8

x = 4 or x = -2

x = 8 or x = -1

Choose the correct ratio.

sin(37)=x/14

cos(37)=x/14

tan(37)=x/14

sin(37)=14/x

Solve for the misssing distance

18.9

19.5

27.5

If A={6,8,10,12} then 5 ∈ A

True

False

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

{3, 5, 7}

{2, 3, 5, 7}

{2, 3, 5, 7, 9}

{1, 2, 3, 5, 7, 9}

10.

Find n(A) for the set:
A = {14, 16, 18, 20, 22, 24}

11.

Find the bearing of A from B

250^o

110^o

290^o

070^o

12.

Find the bearing of A from B

130^o

050^o

230^o

290^o

13.

Describe the transformation that takes the blue shape to the yellow shape...

Enlargement

Scale Factor: 3

Centre: (0,0)

Enlargement

Scale Factor: ¹/₃

Centre: (0,0)

Enlargement

Scale Factor: -3

Centre: (0,0)

Enlargement

Scale Factor: ¹/₃

Centre: (3,0)

14.

What type of transformation is this an example of?

rotation

translation

reflection

dilation

15.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, 5)

(-5, 3)

(-3, 3)

16.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, -5)

(-5, 3)

(-3, 3)

17.

(a)

18.

(a)

19.

How many students participate in drama and music class?

20.

What is the probability that someone plays basketball?

.50

.68

.52

.46

21.

What is the probability the dessert has peanut butter in it?

0.84

0.58

0.22

0.59

22.

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking two red counters.

⁶/₉₀

⁵/₁₉

⁴⁷/₉₀

²/₉

23.

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

²¹/₉₀

⁴⁸/₉₀

⁴²/₉₀

¹⁰/₁₉

24.

Given that triangle ABC is similar to triangle DEF, find the value of x.

14/3

14/7

16/3

25.

What percentage of males drive sports cars?

35%

16.25%

65%

25%

26.

Of the mechanical engineers, what is the probability that math is their favorite subject?

1.91

52%

17%

35%

27.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

34 degrees

56 degrees

72 degrees

15 degrees

28.

Sam views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

19^o

45^o

71^o

138^o

29.

Consider a container with 3 red, 4 green, 5 blue , and 6 purple balls. If two balls are drawn without replacement. Determine the probability?

P(1st Green/ 2nd Purple)

$\left(\frac{4}{18}\right)\left(\frac{6}{18}\right)$

$\left(\frac{4}{18}\right)\left(\frac{6}{17}\right)$

$\left(\frac{4}{10}\right)\left(\frac{6}{10}\right)$

$\left(\frac{4}{10}\right)\left(\frac{6}{9}\right)$

30.

Consider a container with 7 green, 8 blue , and 9 purple balls. If two balls are drawn without replacement. Determine the probability?

P (1st Blue Drawn/2nd Green)

$\left(\frac{8}{24}\right)\left(\frac{7}{23}\right)$

$\left(\frac{8}{23}\right)\left(\frac{9}{24}\right)$

$\left(\frac{7}{24}\right)\left(\frac{9}{23}\right)$

$\left(\frac{8}{15}\right)\left(\frac{7}{16}\right)$

31.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

{3, 5, 7}

{2, 3, 5, 7}

{2, 3, 5, 7, 9}

{1, 2, 3, 5, 7, 9}

32.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

{-4, -3, -2, -1, 0, 1, 2, 3}

{-3, -2, -1, 1, 2, 3}

{-4, -3, -2, -1, 1, 2, 3, 4}

{-4, -3, -2, -1, 1, 2, 3}

33.

Which of following are the possible subsets of

U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}?

A = {2, 4, 6, 8}

B = {1, 3, 5, 7}

C = {5, 6, 7, 10}

D = {-2, 3, 4, 5}

34.

If $A=\left\{1,2,3,4,5,6\right\}$ , and $B=\left\{2,3,6\right\}$ .

The proposition $B\subset A$ is:

True

False

35.

Which of the following are the correct solutions to the quadratic:

$x^2-10x+49=4x+1$

x = {-7, 7}

x = {6, 8}

x = {-8, -6}

x = {-12, -4}

36.

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

length = 26 yd, width = 21 yd

length = 21 yd, width = 26 yd

length = 21 yd, width = 16 yd

length = 16 yd, width = 21 yd

37.

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?

-5

-10

38.

One leg of a right triangle is seven more than the other leg. The hypotenuse is eight more than the shorter leg. Find the lengths of the longest side.

5 ft

3 ft

12 ft

13 ft

39.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).How many students study exactly two subjects?

40.

Solve for x.

(x - 7)² + 4 = 40

x = -1, -13

x = 1, 7

x = -1, -7

x = 1, 13

x = -7, -13

41.

Solve
(x+3)²-5 = 9

±√14 -3

√14 - 3

±11

±5

42.

Which recursive formula represents the geometric sequence shown?

1, -2, 4, -8

43.

Find the 6th term of the following geometric sequence:

2, 8, 32, 128, ...

8192

2048

512

128

44.

Was an Italian mathematician. He is best known for the number sequence named after him: 1, 1, 2, 3, 5, 8, 13, …

Leonardo Pisano, Fibonacci (1175 – 1250)

Leonhard Euler (1707 – 1783)

Johann Lambert (1728 – 1777)

François Viète (1540 – 1603)

45.

The image shows what type of transformation

Rotation

Translation

Reflection

46.

The point Z(4, -2) is rotated 180 degrees about the origin. What is the image of Z?

Z'(2, 4)

Z'(-4, 2)

Z'(-2, -4)

Z'(-4, -2)

47.

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

31 and 37

31 and 36

30 and 37

30 and 36

48.

The first three terms of an arithmetic sequence are as follows.

3, -4, -11

Find the next two terms of this sequence

-17 and -25

-18 and -26

-18 and -25

-17 and -26

49.

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

a_n= -7n+9

a_n= 7n-5

a_n= 7n-9

a_n= -7n+5

50.

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

a_n= -3n+19

a_n= -5n+13

a_n= 3n+13

a_n= -5n+20

100 %

G7 Ext Sem 2 Review

Total questions: 50

Worksheet time: 2hrs 23mins

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