3548172
Descrição
Quiz por Yizhen Yang, atualizado more than 1 year ago
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Criado por Yizhen Yang
quase 9 anos atrás
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Questão 1
Questão
Given that circles with centres A and B have radii 3 and 6 respectively, CD is a common tangent that touches the circles at C and D, E is the point of intersection between AB and CD, and AE=5, find CD.
Responda
-
12
-
13
-
10
-
11
Questão 2
Questão
Given that ABCD and CEHG are squares, CE=14 and AB>14, find the area of ΔAEG.
Responda
-
98
-
196
-
100
-
200
Questão 3
Questão
A grid of squares measuring 9 units by 6 units has the two corners removed as shown in the figure below. How many squares of any size are contained within this grid?
Responda
-
52
-
104
-
142
-
140
Questão 4
Questão
Victor's age is a prime number. John's age has 8 factors and he is one year older than Victor. Of the following numbers, which could be the sum of their ages?
Responda
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69
-
75
-
87
-
107
Questão 5
Questão
How many 2-digit numbers have the property that the sum of the digits is a perfect square?
Responda
-
15
-
17
-
18
-
19
Questão 6
Questão
Three positive integers have a sum of 96. The sum of any two is divisible by the third. Which is the largest of these three integers?
Responda
-
68
-
48
-
70
-
69
Questão 7
Questão
How many real solutions are there to the equation |x-2|+|x+3|=1?
Responda
-
0
-
1
-
3
-
∞
Questão 8
Questão
Given that m=|x+2|+|x-1|-|2x-4|, find the maximum value of m.
Responda
-
1
-
5
-
7
-
0
Questão 9
Questão
Given that the area of ΔBDE=1, the area of ΔCDE=3 and DE//AC, find the area of ΔACD.
Responda
-
6
-
9
-
12
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15
Questão 10
Questão
2 ordinary dice are rolled. What is the probability that the product of the two numbers obtained is a multiple of 6?
Responda
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5/12
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1/2
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13/36
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1/3
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