Math Problems Trivia

1. For the rank of "Perimeter Pro", what is the perimeter of a rectangle that is 9 inches long and 6 inches wide?

From Quiz Math Hysteria

Answer: 30

The perimeter of a rectangle is the sum of twice the length and twice the width (2*9+2*6=18+12=30).

From Quiz Maths Topic 7: Introductory Calculus

Answer: m=(f(x)-f(a))/(x-a)

The secant to a curve can be defined as the straight line passing through two points on the curve. Therefore, we can work out the gradient in the same way we work out gradient of any straight line, by using the rule m=(y2-y1)/(x2-x1).

From Quiz Maths Topic 6: Linear Functions

Answer: 5 units

To solve this question, we need to use the rule d=sqrt((x2-x1)^2-(y2-y1)^2), where d is the distance between the two points. So, d=sqrt((-3-1)^2+(0-3)^2) d=sqrt(16+9) d=sqrt(25) d=5 units

From Quiz Maths Topic 5: Real Functions

Answer: -1

To solve this question, we need to substitute x=-2, for each x term in the function. So, If f(x)=x^2+3x+1 f(-2)=(-2)^2+3(-2)+1 f(-2)=4-6+1 f(-2)=-1

From Quiz Maths Topic 4: Trigonometry

Answer: 3sqrt(5)/2

To solve this question, we first need to work out the length of the third side, which can be done through Pythagoras. So since sinx = 2/7, the opposite side is 2, and the hypotenuse is 7 Therefore, 7^2-2^2=45 Therefore the adjacent side length is sqrt(45), or 3sqrt(5). Now cotx is adjacent/opposite So, cotx= 3sqrt(5)/2

From Quiz Maths Topic 3: Circle Geometry

Answer: Chord

If two chords are equal, then they will subtend equal angles at the centre of the circle. This rule is similar to rule for equal arcs.

From Quiz Maths Topic 2: Geometry

Answer: Between 180 and 360

A reflex angle is between 180 and 360 degrees. An angle between 0 and 90 is an acute angle, an angle between 90 and 180 is an obtuse angle. An angle equal to 180 is known as a straight angle.

From Quiz Maths Topic 1: Basic Arithmetic and Algebra

Answer: 23/99

To solve this question, we let x = 0.23232323... (equation 1) Therefore, 100x = 23.23232323... (equation 2) (equation 2)-(equation 1) 99x=23 Therefore x = 23/99 And so, 0.232323... as a fraction is 23/99

From Quiz Extension 1 Mathematics

Answer: y = 1

To find the limit, every term of the function must be divided by the highest power of x in the function. For example: For the function f(x) = x^2/(x^2-9) Dividing by the highest power of x gives, = (x^2/x^2)/((x^2/x^2)-(9/x^2)) = 1/(1-0) = 1 Therefore the horizontal asymptote of the function is y=1.

From Quiz Topics in Mathematics

Answer: 1/6

This can be solved without a calculator Let x = 0.1666666... (equation 1) 10x = 1.6666666... (equation 2) 100x = 16.666666... (equation 3) (equation 3) - (equation 2) 90x=15 x=15/90 x=1/6

From Quiz Math for Smarties!

Answer: 13

Here is the way to work it out 12 squared= 144 5 squared= 25 144+25= 169 The square root of 169= 13 So 13 is the hypotenuse.

From Quiz Pencil and Paper Required

Answer: 14 & fourteen

B=Brad M=Michelle M+6=B or M=B-6 M+B=22 or M=22-B -- substitute into first equation 22-B=B-6 28=2B 14=B then for Michelle's amount, you can insert the fourteen in one of the equations, M+B=22 M+14=22 M=8 Alternatively, you could halve 22, making eleven and add three to arrive at the correct answer.

From Quiz High school math

Answer: -3/4

Because the line y = mx goes through the point (0,0), it must also go through the midpoint of (3,2) and (4m,-1) in order to split the triangle in half. To find the midpoint, simply find the average of the x- and y-coordinates, which would be ((4m + 3)/2, 1/2). Substituting that point into the line equation, we get that 1/2 = m(4m + 3)/2. Simplified, we get that 4m^2 + 3m - 1 = 0, which factors to (m + 1)(4m -1) = 0. Our two answers for m are -1 and 1/4, the sum of which is -3/4.

From Quiz Math Word Problems to Mull Over

Answer: -56

3x+100 = x-12 2x = -112 x = -56

From Quiz A Harry Potter - Themed Quiz on Combinatorics

Answer: 60

Case 1: 0 is ones digit --> (place value of digit : # of choices) (tth : 4) (th : 3) (h : 2) (t : 1) (o : 1)-> 4 x 3 x 2 x 1 x 1 = 24 ====================================================================== Case 2: 4 or 8 is ones digit : (tth : 3) (th : 3) (h : 2) (t : 1) (o : 2) -> 3 x 3 x 2 x 1 x 2 = 36 ===================================================================== Case 1 + Case2 = 24 + 36 = 60 ways Taking Cases was used by Hermione in this problem because of the conflict with 0. Zero cannot be included in the choice for the ten thousands digit because the resulting number will only have 4 digits.

From Quiz A Tricky 'n' Easy Maths Quiz! (4)

Answer: 3.33%

There is a formula for such questions which is: Percentage Error = Actual Error/True Value * 100 The actual error is 62 - 60 or 2 degrees. Plug in the numbers and we get: Percentage error = 2/60 * 100 = 3.33% (correct to 3 sig. fig.)

From Quiz A Tricky 'n' Easy Maths Quiz! (1)

Answer: 96 cm squared

A cube has 6 faces which are all squares. The formula for finding the area of a square is L^2 (or length of a side, squared). Therefore the formula for finding the area of six such squares (a cube) is 6L^2. So: 6*4*4 = 96 cm squared.

From Quiz Mathematix for the Not so Insane

Answer: 1620

To form a parallelogram, you need two parallel lines intersecting with two parallel lines. Therefore the total number of parallel lines is 10C2 * 9C2. (i.e. 2 lines can be chosen from 10 parallel lines multiplied by 2 lines chosen from the other 9 parallel lines) For those of you unfamiliar with Combinations: when you chose r things from n things, nCr = n!/(n-r)!r! and n! = n(n-1)(n-2)....1.

From Quiz Mathematix for the Insane I

Answer: 6.66 Kg

From 20 kgs of fresh mango, we get 6 kg of pure solid (no water) i.e. 30 % of 20 kg. Since we know dry mango contains 10% water, just divide 6 kgs by 0.9 to get the answer.

From Quiz High School Calculus

Answer: 10/7

Apply l'hopital's rule.. you'll get 6x squared + 10 over 15x squared + 4x + 7. Subbing in zero, you get 10 over 7 or 1.428571428571 (L'hopital's rule)

From Quiz Math Hysteria

Answer: 35

Angelica's age is x, Lexie's age is x-9, Rachel's age is x-9-3, and Dana's age is x-6. Since the sum of all four of their ages equals 113, we combine like terms. Adding the 4 x variables gives us 4x and adding -9, -9, -3, and -6 gives us -27. Then we add 27 to 113 to give us 140, leaving 4x by itself. Finally, we divide 140 by 4, leaving x to equal Angelica's age, which is 35.

From Quiz Fun With Conversions

Answer: Two furlongs

An acre is defined as one chain wide and one furlong deep, or vice versa, so you would travel back two furlongs.

From Quiz Maths Topic 7: Introductory Calculus

Answer: f'(x)=lim h->0 (f(x+h)-f(x))/h

To solve this, we can consider two points on a curve, (x,f(x)) and (x+h,f(x+h)). Since the derivative can be used to find the gradient of a tangent, we can use the two points to show that f'(x)=lim h->0 (f(x+h)-f(x))/h.

From Quiz Maths Topic 6: Linear Functions

Answer: (2,3)

To find the midpoint, we use the rule M=((x1+x2)/2,(y1+y2)/2), where M is the midpoint. So, M=((-1+5)/2,(4+2)/2) M=(4/2,6/2) M=(2,3)

From Quiz Maths Topic 5: Real Functions

Answer: 234

To solve this question, we need to substitute x=3, for each x term in the function So, If f(x)=x^5-x^2 f(3)=(3)^5-(3)^2 f(3)=243-9 f(3)=234

From Quiz Maths Topic 4: Trigonometry

Answer: secx

To solve this question, we can use a right-angled triangle with acute angles x and 90-x. For the angle 90-x, the adjacent side is equal to b, the opposite side is equal to a, and the hypotenuse is equal to c. Since the cosecant ratio is hypotenuse/opposite, therefore cosec(90-x) is equal to c/a. The secant ratio is hypotenuse/adjacent. Looking at the angle x, secx is equal to c/a. Therefore, secx = cosec(90-x).

From Quiz Maths Topic 3: Circle Geometry

Answer: 40

To solve this question, we can use the rule "angles at the circumference are half the angles at the centre". Since the angle at the centre is 80, we can halve this to find the angle at the circumference, which is 40.

From Quiz Maths Topic 2: Geometry

Answer: They are equal

If two angles are vertically opposite, then they are of equal size. If angles are supplementary, then they add up to 180, and if they are complementary, they add up to 90.

From Quiz Maths Topic 1: Basic Arithmetic and Algebra

Answer: 1/(x+2)^5

We can rewrite (x+2)^-5 using the index law x^-n = 1/x^n Therefore (x+2)^-5 = 1/(x+2)^5

From Quiz Extension 1 Mathematics

Answer: Angle DAC

In a cyclic quadrilateral, both pairs of opposite angles are supplementary. In this case, angle DAC is supplementary to angle BCD. Since point C lies on BE, this means that angle BCD is also supplementary to exterior angles DCE. Therefore this makes angle DCE equal to angle DAC.

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Last Updated Nov 16 2024 5:50 AM

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