Grade 7
In a group of 50 students, 25 are studying Math, 30 are studying Statistics, and 20 are studying both subjects. How many of these students are taking only Mathematics?
5
If a number times itself is added to five times itself, the result is 24. What are the two possible numbers?
3 or -8
What is the intersection of a line and a plane?
point
How many degrees is equivalent to 7/8 revolution?
315 degrees
A bag contains 8 red marbles and 4 green marbles. What is the probability of picking a red marble at random?
2/3
Solve the inequality: 8-3x < 14
x > 2
What is the sum of the roots of the quadratic equation 2x2-7x-15=0?
3.5 or 7/2
One of the factors of the polynomial function f(x)=x3+x2-x-1 is (x-1). Find the other factor/s.
(x+1)2
Find the length of the largest stick that can be placed inside a rectangle with sides 40 cm and 9 cm
41 cm
The ages of students in a class are: 19, 20, 22, 18, 21. What is the mean age of the class?
20
Isay and Bela are working on a project together. If Isay does it alone, it will take her 4 hours, while Bela can do it alone in 6 hours. How long will it take them to do it together?
2 hours and 24 min or 2.4 hours
The root of the equation ax2+bx+c=0 is 4. In terms of a and b, what is the other root?
-(4a+b)/a
Solve the quartic function P(x)=x4-5x2+4
-2, -1, 1, 2
-23π/4 rad is located in which quadrant?
1st quadrant
A coin is flipped 4 times. What is the probability of getting exactly 2 tails?
6/16 or 3/8
Convert the repeating decimal 0.2343434343434343434..... into fraction.
116/495
Solve the inequality: 5x2-9x-2>0
Find the greatest integral value of c for which the roots of the quadratic equation 2x2+3x+4+c=0 are real
-3
At a distance of 6 feet from the base of the Oblation, the angle of elevation of the head and feet of the statue (on the pedestal)are 60 degrees and 30 degrees, respectively. How high is the statue?
4 sqrt(3) feet
A teacher graded 30 exams and the scores are: 62, 80, 72, 85, 90, 68, 71, 59, 88, 77, 65, 73, 79, 82, 90, 95, 76, 85, 91, 81, 87, 74, 78, 83, 69, 86, 75, 92, 70, 84. What is the median score?
80.5
A pair of jeans is on sale at 10% discount. A customer paid P765 for that item. What was the original price of the pair of jeans?
P850
Write the quadratic equation of a parabola whose vertex is at (-1, 2) and contains the point (2, -4)
f(x)=-2/3 (x+1)2+2 or f(x)=(-2/3)x2-(4/3)x+4/3
Solve the exponential equation: 2x+4x-1=3
x=1
Evaluate cos (750)
(sqrt 6 - sqrt 2)/4
A standard deck of playing cards has 52 cards. If you draw two cards without replacement, what is the probability that both cards are black (clubs or spades)?
Write your answer in fraction form.
25/102 or 24.51%