Free Printable Probability Time Algebra Equations Pythagoras

1.

What is the probability of landing on the shaded section?

a)

1

b)

1/3

c)

1/4

d)

3/4

2.

What is the probability of landing on the shaded section? (Simplify the fraction!)

a)

2/6

b)

1/3

c)

2/8

d)

1/4

3.

What is the probability of choosing a shaded counter? (Simplify the fraction!)

a)

1/5

b)

2/5

c)

3/5

d)

2/3

4.

What is the probability of choosing a shaded counter? (Simplify the fraction!)

a)

7

b)

7/7

c)

100

d)

1

5.

A fair dice is thrown, what is the probability the outcome is a 7?

a)

0

b)

1/6

c)

1

d)

100

6.

What is a sample space?

a)

A list of all possible outcomes

b)

A list

c)

An example of a possible outcome

d)

An example

7.

A bag contains 6 blue discs, 10 orange discs and 4 red discs. If a disc is picked at random what is the probability of getting an orange disc? (Simplify the fraction)

a)

4/16

b)

1/4

c)

4/20

d)

1/5

8.

What is the probability today is the weekend (Sat or Sun)?

a)

1/7

b)

2/7

c)

5/7

d)

2/5

9.

What is the probability of a likely event?

a)

0.25

b)

50%

c)

0.75

d)

1

10.

How is the probability of selecting a black King from a deck of cards?

a)

1/26

b)

2/52

c)

2/26

d)

4/52

11.

You select a card from a normal deck of cards. What is probability your selection is a card?

a)

0

b)

0.5

c)

1

d)

Infinite

12.

What is the sample space of a coin?

a)

{50%}

b)

{Half heads and half tails}

c)

{Heads, Tails}

d)

It depends on the outcomes

13.

What is the probability a shopper does not want to extend trading hours? (Fully simplify)

a)

3/5

b)

6/15

c)

35/60

d)

7/12

14.

Of the students in Becky's grade, 5 like beetles. 6 students like centipedes. 2 students like both beetles and centipedes. How many students like beetles but not centipedes?

a)

3

b)

5

c)

7

d)

None

15.

Of the students in Becky's grade, 5 like beetles. 6 students like centipedes. 2 students like both beetles and centipedes. What is the probability a student chosen at random will like beetles?

a)

5/13

b)

5/9

c)

5

d)

5/11

16.

Change 11:30pm to 24 hr time.

a)

11:30am

b)

1130

c)

2330

d)

23:30pm

17.

If you started playing a chess game at 11:30am and finished at 3:50pm, how long did you play?

a)

4 hrs 50 mins

b)

3 hrs 50 mins

c)

5 hrs 20 mins

d)

4 hrs 20 mins

18.

New York is 16 hours behind Sydney. An NBA game starts at 8pm in New York. What time is this in Sydney?

a)

4am

b)

12am

c)

4pm

d)

12pm

19.

Simplify: a - 3b - 3a + 5b.

a)

-2a + 2b

b)

4a + 8b

c)

a +2b - 3a

d)

0

20.

Simplify: 2e × 3f

a)

5ef

b)

6ef

c)

6e + f

d)

5 + ef

21.

Simplify: 4s³ ÷ 2s

a)

2s³

b)

8s

c)

2s²

d)

8s²

22.

Expand 3(4x+5)

a)

12x² + 8

b)

12x²+ 15

c)

12x + 8

d)

12x + 15

23.

If x = 2, evaluate x⁴

a)

8

b)

32

c)

2⁴

d)

16

24.

Which of the following simplifies to 1

a)

y² ÷ (y + y)

b)

y² ÷ (y × y)

c)

7y - 7y

d)

7y ÷ 7

25.

Simplify $\frac{9x+x}{5x}$

a)

2x

b)

$\frac{9x}{5}$

c)

5

d)

2

26.

If x=2 and y=3, which expression equals 10.

a)

y(x + y)

b)

x² + x + y

c)

y²+ x

d)

x(x+ y)

27.

If x + 4 = 9, what does x equal?

a)

-5

b)

5

c)

-13

d)

13

28.

Solve 2(x - 2) = 2

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 6

29.

$\frac{x}{3}=-4$

a)

x = -1

b)

x = 1

c)

x = 12

d)

x = -12

30.

Solve $−3x−5=4$

a)

x = -3

b)

x = 3

c)

x = -9

d)

x = 9

31.

Which equation has the solution y = 1?

a)

y - 1 = 0

b)

y + 1 = 0

c)

-1 - y = 0

d)

1 + y = 0

32.

Which Pythagoras Theorem equation is used to find the short side? (Hint: There is more than one answer)

a)

a²+ b² = c²

b)

c² = a²+ b²

c)

b²= c² - a²

d)

a²= c² - b²

33.

Round 1.889 to 2 decimal places

a)

1.88

b)

1.89

c)

1.98

d)

1.99

34.

What is the exact length of the hypotenuse of this triangle?

a)

$AC=\sqrt{89}\ cm$

b)

$AC=89\ cm$

c)

$AC=89^2\ cm$

d)

$AC=9.43398113206\ cm$

35.

What is the exact length of the shorter side on this triangle?

a)

4 cm

b)

4² cm

c)

16 cm

d)

16² cm

36.

Which of these is a Pythagorean triple?

a)

6 8 10

b)

3 4 25

c)

4 5 6

d)

9 12 13

37.

Shane marched 3 m east and 6 m north. How far is he from his starting point?

a)

9 m

b)

6 m

c)

7 m

d)

45 m

38.

Find the value of h in this equilateral triangle to one decimal place.

a)

10.3 cm

b)

10.4 cm

c)

16.9 cm

d)

17.0 cm

39.

Evaluate $\sqrt{12}$ to 1 decimal place

a)

3.46

b)

3.4

c)

3.5

d)

3.0

Probability Time Algebra Equations Pythagoras

Total questions: 39

Worksheet time: 23mins

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