Geometry
Combinations
Algebra:)
Math is Interesting!
100
What is the perimeter of a rectangle with a length of 7 units and a width of 5 units?
24
100
How many 3-letter permutations (order matters) are there to arrange the letters ABCDE if no repeat of letters is allowed
60
100
What is the gradient of the line of y=(3x-2-3x)(x+4)
-2
100
What is the value of pi (to 6sf)
3.14159
200
What is the volume of a cylinder with a radius of 3 units and a height of 7 units? (Use π≈3.14π≈3.14)
197.82
200
How many 3-letter permutations (order matters) are there to arrange the letters ABCDEF if repeats of letters are allowed
216
200
Given that x+y=4 and 3x-y=2, solve for x and y
X=1.5, y=2.5
200
Proof that the angles in a triangle always add up to 180⁰
Not limited to:
Consider a triangle ABC, draw a line DE that is parallel to AB and intersects at C,
By alternate angles ∠CBA and ∠CAB =∠DCB and ∠ECA which with ∠ACB, add up to 180⁰ as it is a straight line
300
What is the area of a triangle with sides of lengths 5 units, 12 units, and 13 units? (Hint: Heron's Formula)
30
300
20 participants are competing in a marathon race. How many possibilities exist for the gold, silver and bronze medals to be awarded?
6840
300
x²=4, what is/are the possible value(s) of x?
[Hint: (-1)(-1)=1, (1)(1)=1]
-2 and 2
300
John is on a moving train that is travelling at 40km/h. He sees a train that is travelling in the opposite direction of the train he is in. The train appears to be traveling at 77km/h to John. What is the actual speed of the train? (Assume that John is able to very accurately tell the speed of the train from eye power)
37km/h
400
How many possible triangles can be formed such that they fit all the criteria below:
1. All sides of the triangle are whole numbers
2. The perimeter of the triangle is 9
3. The length of the longest side is 4
4. No two side lengths are equal
1
400
How many 5-digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once?
336
400
Make b² the subject of
x=√(b²+4c)
b²=x²-4c
400
What is the last digit of 20232024
1
500
Find the length of the diagonal of a cuboid with dimensions 4 units, 3 units, and 12 units.
13
500
How many ways can the letters of the word "SINGAPORE" be arranged so that no two vowels are next to each other?
43200
500
(x-3)(x+2)=0
What are all the possible values of x
Hint: what multiples together gives a product of 0
3 or -2
500
2) In the following cryptarithm, all the different letters stand for different digits. Find the five-digit sum SUSAN.
10152