ALGEBRA
Solve for x:
x + 7 = 15
x =?
8
A standard six-sided die is rolled. What is the probability of rolling a number greater than 4?
Calculation: 2 / 6 = 1/3 (app. 33.3%)
12 + 8 / 4
14
In a right-angled triangle, if one of the acute angles is 35°, what is the measure of the other acute angle?
55°
How many sides does a hexagon have?
6 sides
3y = 21
y=?
7
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability it is not blue?
Answer: Total marbles = 5 + 3 + 2 = 10. Non-blue marbles = 10 - 3 = 7
Calculation: 7/10 (or 70%).
15 - 3 X 4
3
What is the sum of the interior angles of a regular hexagon?
720
What do you call a triangle where all three sides are of different lengths?
A Scalene triangle.
2a - 5 = 9
a =?
7
A box contains 4 black pens and 6 blue pens. You pick two pens one after the other without replacement. What is the probability that both pens are black?
Answer: The first draw is 4/10.
Since we don't replace it, the second draw is 3/9.
(1O - 4)2 / 4
9
A rectangular gate is 3 meters wide and 4 meters tall. What is the length of the diagonal brace needed to stabilize it?
5 meters
What is the sum of the interior angles of a quadrilateral?
360°
4(x-2) = 12
x = ?
5
From a standard deck of 52 cards, you draw two cards without replacement. What is the probability that both are Aces?
Answer: There are 4 Aces in a deck.
First Ace: 4/52.
Second Ace: 3/51
Calculation: 4/52 * 3/51 =1/13 * 1/17 = 1/221 (or approximately 0.45%).
50 - 4 X (12 / 3) + 6
40
What is the measure of one interior angle of a regular octagon?
135
In a right-angled triangle, if the two shorter sides (legs) are 3cm and 4 cm, what is the length of the hypotenuse?
5cm
5m + 3 = 2m + 15
m = ?
4
If a family has 3 children, what is the probability that they have at least one girl? (Assume boys and girls are equally likely).
Answer: It is easier to calculate the probability of the complement (having zero girls, i.e., all boys) and subtract from 1.
Answer: 7/8 (or 87.5%).
8 X [2 + (15 / 3] - 10
46
Two parallel lines are intersected by a transversal. If one interior angle is 115°, what is the measure of its corresponding angle?
115°
What is the difference between a "Regular" polygon and an "Irregular" polygon?
A Regular polygon has all sides and all interior angles equal (like a stop sign/octagon).
An Irregular polygon has sides or angles of different sizes.