Year 10 Maths - Page 3 - Probability


(reduce all answers to the lowest terms)
1)
What is the probability of a head showing on a twenty-cent coin when thrown into the air and it landing on the ground?

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2)
If one card is randomly chosen from a deck of cards without jokers, what's the probability of it being a prime number?

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3)
If one letter is randomly picked from the alphabet, what would be the probability of that letter being a vowel?

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4)
If one letter is randomly picked from the alphabet, what would be the probability of that letter being a consonant?

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A boy has a bag of 20 marbles; 7 red, 3 blue, 4 green and 6 yellow.
If one marble is taken from the bag, what is the probability of it being...

(reduce all answers to the lowest terms)

A)   Red?
 


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B)  Yellow?
 


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C)   Blue?
 


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D)   Green?
 


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E)  Not Blue?
 


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F)   Red or Yellow?
 


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Algebraic Fractions
Simplify the following algebraic fractions.   
(reduce all answers to the lowest terms)
x

+

x

=

+

=

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4
5

 

2x

+

x

=

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3
8

 
4x

2x

=

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7
5
Problem (Geometry)
A right triangle truss has a hypotenuse of 6 metres and a height of 2.3 metres. What is the length of the base?
Round your answer to the nearest hundredth.   
Answer:   metres blank