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Semester 1 Challenge
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There are 10 cards numbered 1 to 10. Eugene picks an even number. He also picks a number greater than 5. Are the two events mutually exclusive events?Explain.
Not mutually exclusive because 6, 8, and 10 are even numbers greater than 5.
What is the probability scale of getting green color on the spinner?
3/8 or 37.5%
On which spinner is more likely to spin an odd number?
Spinner B
Which shape is on (-3,2)?
square
What is the coordinates of the green circle?
(1,-5)
What is the perimeter of a quarter circle with diameter of 20?
35.7 cm
What is the circumference of a circle with radius of 8 cm?
50.24 cm
What is the area of a semicircle with radius of 7 cm?
77 cm2
Is this statement correct? The radius of a circle is twice its diameter.
wrong
The price of a T-shirt was $80. During a sale, the price became $60. What is the percentage of the discount during the sale?
25%
Last year, there were 25 new students enrol to a school. This year, there are 32 new students enrol to that school. What is the percentage increase of the number of new students enrol to that school?
28%
Mr Tim had to pay $21 for the 7% GST of the TV that he bought. How much is the price of the TV before GST?
$300
25% of a number is 120. What is the number?
480
Billy has 3/7 as many toys as Mike. Billy has 12 fewer toys than Mike. How many toys do they have altogether?
30 toys
Bob's height is 10/11 of Jack's height. Jack is 165 cm. How tall is Bob?
150 cm
For every 3 girls, there are 2 boys at the church. What fraction of the total number of pupils at the church is the number of girls?
The number of girls is 3/5 of the total number of pupils at the church.
The volume of water in Jug A is 3/8 that of Jug B. What is the ratio of the volume of water in Jug B to the volume of water in Jug A?
The ratio of the volume of water in Jug B to the volume of water in Jug A is 8 : 3.
The ratio of the length of Rope A to the length of Rope B is 4 : 5. Express the length of Rope A as a fraction of the length of Rope B.
The length of Rope A is 4/5 of the length of Rope B.
Divide
6
A glass has a capacity of 2/5 litre. A bottle has a capacity of 3 litres. How many glasses of water are needed to fill the empty flask completely?
7 1/2 glasses
Divide
7/6 or 1 1/6
There were p cookies on a plate. Joyce and Kate shared the cookies equally. Then, Joyce ate 5 of the cookies she had. How many cookies did Joyce have left in terms of p?
p/2 - 5
Find the value of 24 + 3x -14 when x = 8
34
Simplify : 9 + 3k - 7 - 2k
k + 2
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