1. The legs of one right triangle are 9 and 12, while those of another right triangle are 12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of the smaller triangle?
a. 84 b. 7 c. 12 d. 14
Ans: c
2. In a circle with center O, arc RS=132 degrees. How many degrees are there in angle RSO?
a. 22 b. 24 c. 20 d. 48
Ans: b
3. One angle of a parallelogram is 35? What are the measures of the three other angles?
a. 45˚, 65˚, 170˚
b. 145˚, 35˚, 145˚
c. 85˚, 135˚, 140˚
d. 35˚, 65˚, 65˚
Ans: b
4. One side of a 45˚- 45˚- 90˚ triangle measures 5 cm. What is the length of its hypotenuse?
a. 5√3cm b. 5 cm c. 5√3 d. 5√2cm
2cm
Ans: d
5. An online shop sells a certain calculator for P850 and charges P250 for shipping within Manila, regardless of the number of calculators ordered. Which of the following equations shows the total cost (y) of an order as a function of the number of calculators ordered (x)?
a. y=(850+250)x c. y=850x+250
b. y=250x+850 d. x=850y+250
Ans: c
6. How many glasses of cola each to be filled with 150 cu cm of liquid can be made from 5 family sizes bottles of cola each containing 1.5 liters?
a. 60 b. 45 c. 40 d. 50
Ans: d
7. The edges of a cubical frame are made from plastic straws. How much longer is the total length of the plastic edges of a cube whose edge is 10 cm compared to a cube whose edge is 8 cm?
a. 32 cm c. 24 cm
b. 8 cm d. 16 cm
Ans: c
8. If the width of a rectangle is reduced by 20% and the length is also reduced by 20%, what percent of the original area is the new area of the rectangle?
a. 60% b. 64% c. 80% d. 36%
Ans: b
9. How many square inches are in 1 square yard?
a. 900 b. 144 c. 1,296 d. 648
Ans: c
10. Which of these has the longest perimeter?
a. A rectangle 19 cm long and 24 cm wide
b. A right triangle whose two legs are 24 and 32 cm
c. A square 21 cm on a side
d. An equilateral triangle whose side is 28 cm
Ans: b
11. A series of square figures are made with match stick. If the first three figures are the following, how many matchsticks will be needed to form the 6th figure?
a. 60 b. 5 c. 84 d. 40
12. If 1 = a then x equals the _______.
x b
a. product of a and b
b. quotient of a and b
c. sum of a and b
d. difference of a and b
Ans: b
13. On a certain day, three computer technicians took turns in manning a 24-hours internet shop. The number of hours Alpha, Bravo and Charlie were on duty was in the ratio 1:2:3, respectively. The shop owner pays them PHP40 per hour. How much would Charlie receive for that day?
a. PHP 230 c. PHP 160
b. PHP 960 d. PHP 480
Ans: b
14. A bus has seven vacant seats. If there are additional passengers that will enter the bus, in how many different ways can they be seated?
a. 6 b. 210 c. 5040 d. 35
Ans: c
15. Roger’s grades in 6 subjects are 88, 89, 84, 90, 91 and 86. What is the least grade that he should aim for the 7th subject if he has to have an average of 88?
a. 91 b. 90 c. 88 d. 92
Ans: b
16. In how many ways can 7 people be seated around a circular table?
a. 49 b. 720 c. 5,040 d. 14
Ans: b
17. A committee of 3 is to be selected from a group of 5 girls and 3 boys. What is the probability that two boys are selected?
a. 15/56 b. 8/56 c. 3/56 d. 5/56
Ans: a
18. A student has ten posters to pin up on the wall of her room, but there is space for only seven. In how many ways can she choose the posters to be pinned up?
a. 5040 c. 120
b. 604,800 d. 7
