Number Sense, Applied Mathematics, and Algebra
Evaluate |-18| - 7.
11
Find the slope of the line passing through the points (-2,3) and (4,15).
Find the sum of the interior angles of an octagon.
1080 degrees
Find the mean of 4,7,8,11,15.
9
In a recent survey of Sir Ernest in the Grade 7 students, 28 likes Mathematics, 19 likes Araling Panlipunan, and 7 likes both. How many student likes Mathematics or Araling Panlipunan?
40
(3.6 x 105)(2 x 10-3)
720
Find the equation of the line with a slope of -2 through (3,5).
y = -2x + 11
A right triangle has legs measuring 9 cm and 12 cm. Find the hypotenuse.
15 cm
Find the range of the data set 6,12,21,14,9.
15
A sequence begins with 3. Each succeeding term is twice the preceding term plus 1. Find the fifth term.
63
Solve for x: 3(2x - 5) + 4 = 2x + 13
6
Solve the system: 2x + y = 11 and x - y = 1
(4,3)
Each exterior angle of a regular polygon measures 24 degrees. How many sides does a polygon have?
15 degrees
Two fair six-sided dice are rolled. What is the probability that their sum is exactly 8?
5/36
Find the smallest possible integer divisible by 6, 8, and 15.
120
P10,000 is invested at 10% compounded annually. Find the amount after two years.
P12,100
Determine the vertex of y = x2 - 6x + 5.
(3,-4)
A right circular cone has radius 3 cm and height 8 cm. Find the volume.
24π cm3
A contestant has 4 shirts, 3 pairs of pants, and 2 pairs of shoes. If one of each is chosen, how many different outfits are possible?
24
√72 - √8
4√2
Find all real solutions of x4 - 13x2 + 36 = 0.
x = -3, -2, 2, 3
A quadratic functions has two zeros 2 and 6 and its graph passing through (0,24). Determine its equation in standard form.
y = 2x2 - 16x + 24
Two sides measure 7 cm and 8 cm. The included angle measures 60 degrees. Find the length of the third side.
√57 cm
A bag contains 5 red balls and 3 blue balls. Two balls are drawn successively without replacement. Find the probability that the two balls are red.
5/14
Using the digits 1,2,3,4,5 without repetition, how many four-digit even numbers greater than 3000 can be formed?
30