MIDPOINT AND DISTANCES/ TRIANGLE INEQUALITY
Two landmarks are horizontally aligned at (–3, 5) and (4, 5). How far apart are they?
a) 6 units c) 9 units
b) 7 units d) 10 units
9 UNITS
A triangular pyramid has a base area of 18 m² and height of 6 m. What is its volume?
a) 36 m³ c) 108 m³
b) 54 m³ d) 324 m³
54 m³
Which equation models “A number increased by 9 is 25”?
a) x–9=25x c) 9x=259
b) x+9=25 d) x/9=25
x + 9 = 25
If you buy 50 books at Php100 each and sell them all at Php150, what's your total profit?
a) ₱2,500 c) ₱1,500
b) ₱2000 d) ₱1000
₱2,500
A rescue post is built halfway between points (–4, 6) and (2, –2). Where is it located?
a) (–1, 2) c) (1, –4)
b) (–2, 4) d) (–6, 8)
(–1, 2)
A hexagonal pyramid has base area 30 m² and height 4 m. Find its volume.
a) 120 m³ c) 60 m³
b) 80 m³ d) 40 m³
40 m³
The sum of two consecutive numbers is 27. What is the smaller number?
a) 12 c) 14
b) 13 d) 15
13
An item costs ₱1000 with 10% interest over 12 months. How much extra will you pay due to interest?
a) ₱100 c) ₱150
b) ₱110 d) ₱200
₱100
A triangle has sides 9, 12, and 15. What type is it?
a) acute c) right
b) obtuse d) equilateral
RIGHT
A cone has radius 3 cm and height 7 cm. What is its volume?
a) 21π c) 63π
b) 49π d) 147π
63π cm³
A survey shows that the probability a customer pays in cash is 0.35. What is the probability that the customer does not pay in cash?
0.65
Danica saved ₱200 more than Ana. Together they saved ₱1,000. How much did Ana save?
a) ₱300 c) ₱500
b) ₱400 d) ₱600
₱400
Which measurement affects only a cone’s volume but not a sphere’s?
a) Radius c) Diameter
b) Height d) π
Height
Which of the following is the volume of a sphere with radius 6 cm? a) 144π c) 288
b) 216π d) 288π/3
216π
Which is the best buy?
a) 2 for ₱50 c) 10 for ₱260
b) 5 for ₱120 d) 3 for ₱90
2 for ₱50
The perimeter of a square is 48 cm. What is the side length?
a) 8 cm c) 12 cm
b) 10 cm d) 16 cm
12 cm
A cone has half the radius of another cone with the same height. Its volume is:
a) half c) one-eighth
b) one-fourth d) one-eighth
one-fourth
A spherical tank radius increases from 4 m to 8 m. Volume becomes:
a) double c) six times b) four times d) eight times
eight times
A ₱1,200 item is discounted to ₱900. How much is saved?
a) ₱150 c) ₱250
b) ₱200 d) ₱300
₱300
A taxi charges ₱40 plus ₱15 per km. If the fare is ₱115, how many km were traveled?
a) 3 km c) 5 km
b) 4 km d) 6 km
5 km