|
1. |
If x = |
|
1. |
If x = |
|
2. |
Solve: |
|
3. |
The HCF (highest common factor) and LCM (lowest common multiple) of 2 numbers are 8 and 408 respectively. If one of the numbers is 24, find the other number. |
|
4. |
Find n. Give your answer correct to 4 significant figures. 3n - 1 = 42(5 - n) |
|
5. |
John spent $4 less than 60% of his money on a book and $3 more than 75% of his remaining money on another book. He still has $2 left. What percentage of his original money did he spend? |
|
6. |
6 men, working together, can finish a job in 2 h 20 min. If 3 men leave after one hour, how long will it take the remaining men to complete the job? |
|
7. |
Solve for k:
|
|
8. |
How many liters of 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution? |
|
9. |
A man bought 450 books for $1,350. He sold half of them at a profit of 20%, 150 of them at a profit of 10%, and the rest at a loss of 4%. What was his gain percent, to the nearest percent? |
|
10. |
Peter, Paul, and John each
bought a similar television set whose lot price was $640. Peter paid
cash and was given a discount of |
|
11. |
The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle? |
|
12. |
In the figure below, AB is
parallel to ED, and EA is parallel to CB.
|
|
13. |
A man has just enough money to buy 60 apples or 40 oranges. If he wants to buy an equal number of apples and oranges, how many of each type can he buy with the money? |
|
14. |
In the figure below, point O
is the center of the circle, AB is parallel to CD,
|
|
15. |
Find the sum of the marked angles in the figure below.
|
|
16. |
Water flows at 4.5 m per second through a pipe. The water is collected in an empty cylindrical tank of an internal diameter 10 times the internal diameter of the pipe. Find the height of the water after 2 minutes. |
|
17. |
(a) |
How many planes of symmetry does a regular right hexagonal prism have? |
|
(b) |
How many axes of rotational symmetry does a right circular cone have? |
|
|
(c) |
What is the order of rotational symmetry for the following figure?
|
|
18. |
(a) |
A hole with a diameter of 3.5
cm is drilled through a square metal nut of thickness 4 cm and length
6 cm. What is the mass of this nut if the density of the metal is 6
g/cm3?
(Take
|
|
(b) |
What is the surface area? |
|
19. |
(a) |
What is the distance, in cm,
on a map between two points which are 38 km 740 m apart if the RF
(representative fraction) is |
|
(b) |
If the length of a river is 15.2 cm on the map, what is its actual length in km? |
|
20. |
Triangle ABC is similar to triangle ADE. DE = 6 cm and BC = 12 cm. If the area of triangle ABC is 90 cm2, what is the area of triangle ADE?
|
1.
2.
3
3.
136
4.
4.689
5.
95%
6.
2 h 40 min
7.
8.
4 liters
9.
13%
10.
5 : 6 : 7
11.
80o
12.
59
13.
24
14.
15
15.
180o
16.
540 cm
17.
(a) 7 (b) 1 (c) 4
18.
(a) 633 g (b) 192.75 cm2
19.
(a) 38.74 (b) 15.2 km
20.
22.5 cm2
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and y = 
,
find 
%.
Paul bought his set on hire purchase. He paid a deposit which was 
of the list price and paid the rest in monthly installments of $32 for
years. John bought his set with 30 monthly payments. He gave a 10%
down payment and was charged 25% interest on the remainder. What is
the ratio of the total amount Peter, Paul, and John paid for their
television sets?
EAB
= 2xo,
)
?
