Statistics and Probability
Mensuration
Algebra and Trigonometry
Mathematical Reasoning
Geometry
1
This box plot shows the number of cookies baked during a baking competition. Find the range of the data given.
20
1
If the length of a rectangle is increased by 20% and the breadth is decreased by 10%. What will be the effect on its area?
8% increase
1
Factorise 25(a + b)2 – (a - b)2.
(4a + 6b)(6a + 4b)
1
Mubashira is a jail warden, she is delivering a speech to her inmates about her disappointment with their behavior. Due to not having biscuits since 5 AM, her energy level is at 64%. Her energy deteriorates at the rate of 0.3x + 4, where x is the number of minutes her speech goes on. Find the number of minutes it takes for her energy levels to reach 0%.
200
1
Find the area of a triangle whose sides are 11 m, 60 m and 61 m.
2
In a deck of cards, you have 4 red cards labeled 1, 2 blue cards labeled 2, 3 green cards labeled 3, and 1 yellow card labeled 4. If you draw two cards without replacement, what is the probability of getting a card with an even number and a card with a prime number? (Note: You have to multiply the two probabilities in order to obtain the final fraction.)
1/5
2
The volume of a rectangular prism is 80 cm3. The length, width, and height of the prism are each an integer number of cm. If the dimensions form three terms of an arithmetic progression, find the average of the three dimensions.
(Volume of a rectangular prism = length x width x height)
5
2
2
K, L, M, N, and O are integers such that 2K < L < M < N < 2O. If L is the average of 2K and M, and N is the average of M and 2O, what is the average of L and N?
(K+M+O)/2
2
In a coordinate plane, point A is located at (3, 4), and point B is located at (-2, 1). Find the coordinates of a point C such that AC is perpendicular to BC.
(-2, -13/3)