1. 3x + y = 19 , and x + 3y = 1.
Find the value of 2x + 2y
Find the value of 2x + 2y
A. 20
B. 18
C. 11
D. 10
E. 5
B. 18
C. 11
D. 10
E. 5
2. The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
A. 45%
B. 40%
C. 35%
D. 32.5%
E. 30%
B. 40%
C. 35%
D. 32.5%
E. 30%
3. x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x - y ?
x + y < 11 , and x > 6
What is the smallest possible value of x - y ?
A. 1
B. 2
C. 4
D. -2
E. -4
B. 2
C. 4
D. -2
E. -4
4. If x5y4z2 <0 , which of the following must be true?
Select ALL such statements.
Select ALL such statements.
A. xy < 0
B. yz < 0
C. xz < 0
D. x < 0
E. x5 < 0
B. yz < 0
C. xz < 0
D. x < 0
E. x5 < 0
5. BCD is a line segment and Angle BAC = ¼ Angle ACB ; Angle ACD = ?
A. 140
B. 100
C. 120
D. 60
E. it cannot be determined from the information given
B. 100
C. 120
D. 60
E. it cannot be determined from the information given
6. If x ¤ y = (x + y)² - (x - y)²
Then √5 ¤ √5 =
Then √5 ¤ √5 =
A. 0
B. 5
C. 10
D. 15
E. 20
B. 5
C. 10
D. 15
E. 20
7. In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?
A. p /mn
B. mn / p
C. mp / n
D. np / m
E. npm
B. mn / p
C. mp / n
D. np / m
E. npm
8. In the figure below, what is the slope of line l ?
A. - 3
B. - 1/3
C. 0
D. 1/3
E. 3
B. - 1/3
C. 0
D. 1/3
E. 3
9. What digit appears in the units place in the number obtained when 2320 is multiplied out?
A. 0
B. 2
C. 4
D. 6
E. 8
B. 2
C. 4
D. 6
E. 8
10. Radius of circle center O is 3 times the radius of circle center C.
Angle ACB = Angle POQ
If the shaded area of circle C is 2 then what is the area of the shaded part of circle O ?
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