Geometry
Trigonometry
Pythagoras theory
Probability
rounding and place value
100
What is the external angle of a square and how many are there?
270 degrees and 4
100
The opposite side in trigonometry is the side that is opposite to what?
The opposite side is opposite to the angle in a triangle.
100
What is the formula to find the hypotenuse?
100
What is the probability of getting a six of hearts in a deck of cards
1/52
100
round 12345 to the nearest 100
12300
200
How many different triangle types are there?
4
200
Write the sides used for the tangent ratio.
the ratio of the side opposite to the side adjacent to the angle they represent.
200
52+X2=132
25+X2=169
X2=169-25
X2=144
X= Square root of 144
CA=12
200
In a carton of mangoes, the probability of a mango being rotten is 0.2. If 5 mangoes were rotten, find the total number of mangoes in the carton.
25
200
what is the place value of 6 in 1.67
tenths
300
How many sides does an icosahedron have?
20
300
The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and hypotenuse of the triangle.
The triangle is right and isosceles. Let x be the length of one of the sides and H be the length of the hypotenuse.
Area = (1/2)x*x = 50 , solve for x: x = 10
Use Pythagoras to find H: x^2 + x^2 = H^2
Solve for H: H = 10 √(2) or 14.14 (I d.p)
300
b2=64
b=8
300
If three coins are tossed at the same time, find the probability of getting all heads.
1/8
300
round 5.826 to 2 significant numbers
5.8
400
How many platonic solids are there?
5
400
The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC.
14.0cm= AC
(Explanation with Diva)
400
= √8² + 7²
= √64 + 49
= √113
= 10.63
x = √12² - 10.63²
x = √144 - 112.99
x = √31.01
x = 5.568
x = 5.57
400
Letters of the word mathematics are arranged at random. Probability that the word formed contains the word 'math' is?
1/168
400
what is the place value of 8 in 2.49738
Hundred Thousandths
500
how many regular polyhedra are there?
48
500
From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. Calculate the height of the second building.
297m (3 s.f)
(Explanation with Diva)
500
Let the diameter of the cylinder be x. Hence, it's length is 3x . The length of diagonal is 20 cm.
According to Pythagoras' theorem,
x^2 + (3x)^2 = (20^2)
x^2 + 9x^2 = 400
10 x^2 = 400
x^2 = 40.
Now, we know that area of a circle is PI(D^2/4).
Therefor in this case,
Pi(D^2/4)= Pi(x^2/4).
Pi(40/4)= pi . 10= 31.42 sq. cm.
500
A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first?
15/36
500
2.567 rounded to the nearest hundredth is...
2.570