This quiz will have you completing calculations that you might have to complete if you go on a road trip. If decimals are involved, answers have been rounded to two points. Good luck!

**Easier**, 10 Qns, Trivia_Fan54, Jun 03 18

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I'm back with another maths quiz. Be careful... These questions might tease your brain! There are some easy ones though, and you can use a calculator for the tough questions. All the best! **Tough**, 15 Qns, me07,
Aug 09 22

Faced with a quiz commission title homaging a certain insurance company's marketing slogan, I have done the obvious and invented my own country! Welcome to Fintruvia and ten teasers focusing on the number 15. Calculator, pen and paper may be needed. **Tough**, 10 Qns, glendathecat,
Feb 27 18

These problems could be a little tough but then again some will find it insanely easy.
If you could do it without a calculator, hats off to you!
**Very Difficult**, 10 Qns, ace_sodium,
Dec 15 13

This quiz will test you on basic geometry from triangles and quadrilaterals to area and volume. Diagrams may be drawn to help with particular questions and calculators may also be used. Good luck. **Tough**, 15 Qns, dialga483,
Mar 13 15

Test yourself on how much you know on the topics of year 11 and 12 mathematics. You will need a pen, paper and a calculator for these questions. Good luck. **Tough**, 20 Qns, dialga483,
Feb 05 23

This is my first maths quiz and it is full of tricky and easy questions! You can use a calculator for the hard questions. All the best! **Difficult**, 10 Qns, me07,
Dec 07 20

Test yourself on the topics of Extension 1 math. You will need a pen, paper and a calculator for this quiz. Good luck. **Tough**, 20 Qns, dialga483,
Aug 06 17

These are all questions that a high school student would have the knowledge to figure out. The questions are a little trickier than simply numbers and variables. **Very Difficult**, 10 Qns, bfguitarhero,
Dec 15 13

Here's some equations to solve and I've tried to make them hard...ish. Have fun and don't get frustrated if you don't get it- just guess! You still have a chance! **Tough**, 10 Qns, regandavey,
Aug 05 16

Quick Question

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This quiz will cover different areas of trigonometry including 2D and 3D problems, trigonometric identies and equations, sine and cosine rules, and different kinds of angle formulae. You will need pen, paper and a calculator for this quiz. Good luck. **Tough**, 20 Qns, dialga483,
Jul 02 16

This quiz will cover basic knowledge and applications of rules in circle geometry. Diagrams may be drawn for assistance and calculators may be used. Good luck. **Tough**, 10 Qns, dialga483,
May 30 18

The quiz will test you on basic real functions, including concepts such as domain and range, odd and even functions and limits. You will need a pen, paper and a calculator for this quiz. Good luck. **Average**, 15 Qns, dialga483,
Feb 18 14

Welcome to a gauntlet of mathematical questions from algebra, geometry, statistics, discrete math, and calculus. It starts very easy but will go up to very difficult. What rank can you reach in Math Hysteria? **Average**, 10 Qns, ebanks120,
Aug 25 20

This quiz is designed to test your knowledge of topics covered in Calculus I through Calculus III. Don't attempt this unless you know this material well or you'll find it very difficult and probably score 0/10. Good luck and may the best mathlete win! **Difficult**, 10 Qns, redsoxfan325,
Aug 21 19

This quiz will be the first of several that will focus on individual topics from my first two quizzes. You may need a pen, paper and a calculator for this quiz. Good luck. **Difficult**, 15 Qns, dialga483,
Mar 18 17

Continuing the series ..... **Difficult**, 10 Qns, ace_sodium,
Dec 15 13

This quiz is about combinatorics with a Harry Potter theme. It covers permutations, combinations, & their applications. All questions require computations. Arm yourself with a calculator! Enjoy! Don't forget to rate this quiz. **Very Difficult**, 10 Qns, metamorphmagus,
Jan 19 14

A collection of fairly straightforward word problems, all math-related. Some are tougher than others, a few possess enough of a challenge to tickle your mind a bit! **Tough**, 10 Qns, Nickzdabomb,
Nov 17 23

Why do you need pencil and paper? Because let's do some high school math! You will need a scientific calculator though for Q's 8-10! **Average**, 10 Qns, George95,
Nov 22 23

These questions have to do with different weights and measures, mostly obsolete. Some calculation is required, although it will probably go faster if you just guess. **Tough**, 10 Qns, OldManJack,
Feb 25 20

This quiz will cover basic differentiation rules and equations of tangents and normals. You will need a pen, paper and a calculator for this quiz. Good luck. **Tough**, 10 Qns, dialga483,
Feb 23 14

I love playing Fantasy Football. I need your help please in calculating the number of points my players have scored. Thank you in advance. **Average**, 10 Qns, gentlegiant17,
Oct 21 18

This quiz will test you on basic rules and applications of co-ordinate geometry. You will need a pen, paper and calculator for this quiz. Good Luck. **Average**, 15 Qns, dialga483,
Feb 20 14

A quiz on some calculus fundamentals, focusing mostly on first-year calculus with some second-year material thrown in as well. Be warned: this quiz is not easy, and should only be attempted with a thorough knowledge and understanding of calculus. **Very Difficult**, 10 Qns, Diceazed,
Dec 15 13

High School Calculus. Calculators are permitted provided that it is not programmable and without graphic display. But I can't do anything if you use it, can I? lol. Feel free to contact me to comment on the quiz. **Impossible**, 5 Qns, ff7rule,
Dec 15 13

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

Answer:

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

2. The gradient of the secant to the curve y=f(x), passing through the points (x,f(x)) and (a,f(a)) is given by which expression?

Answer:

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).

3. What is the length of the line segment joining the points (1,3) and (-3,0)?

Answer:

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

4. If f(x)=x^2+3x+1, then what is the value of f(-2)?

Answer:

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

5. If sinx = 2/7, then what is the exact value of cotx?

Answer:

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

6. "Equal arcs subtend equal angles at the centre of the circle", is a rule associated with circle geometry. Which other geometric part of a circle can be associated with this rule?

Answer:

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.

7. A reflex angle is any angle of what size?

Answer:

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.

8. What is 0.232323... as a fraction?

Answer:

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

9. Harder graphs of real functions
What is the equation of the horizontal asymptote of the function x^2/(x^2-9)?

Answer:

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.

10. Arithmetic
What is 0.166666... as a fraction?

Answer:

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

11. Using Pythagoras; If the adjacent and opposites sides of a triangle are 12 and 5, how much will the hypotenuse be?

Answer:

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.

12. This problem is solved by substitution:
Bradley has six more fish than Michelle. Together they have 22 fish. How many does Brad have?

Answer:

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.

13. A triangle is formed by connecting the vertices of three points; (0,0), (3,2), and (4m,-1). The line y = mx is then drawn through the triangle, splitting it into two equal parts. What is the sum of all possible values of m?

Answer:

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.

14. A mystery number was tripled and then increased by 100, and the result was 12 less than the number. Find the mystery number.

Answer:

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

15. In her Arithmancy class, Hermione was asked to form 5 - digit even numbers from the numbers 1, 4, 5, 8, and 0. How many can she make if repetition of numbers is not allowed?

Answer:

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.

16. An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

Answer:

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.)

17. What is the surface area of a cube measuring 4 cm on an edge?

Answer:

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.

18. If ten parallel lines were intersected by another nine parallel lines, then how many parallelograms are formed?

Answer:

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.

19. Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?

Answer:

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.

20. What is the limit as x approaches 0 of (2x^3 +10x) / ( 5x^3 + 2x^2 + 7x) ?

Answer:

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)

21. Lexie is 9 years younger than Angelica. Rachel is 3 years younger than Lexie, and Dana is 6 years younger than Angelica. The sum of their ages is 113. For the rank of "Equation Rockstar", how old is Angelica?

Answer:

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.

22. Assume you are buying a lot to build your dream home with roadside frontage of one chain. How far would you have to measure back to ensure you had a lot of two acres?

Answer:

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

23. The differentiation of a function by first principles is given by which expression?

Answer:

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.

24. What is the midpoint between the points (-1,4) and (5,2)?

Answer:

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)

25. If f(x)=x^5-x^2, then what is the value of f(3)?

Answer:

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

26. Which trigonometric ratio is equal to cosec(90-x)?

Answer:

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).

27. The quadrilateral ABCD lies within a circle, where points A, B and D all lie on the circumference and point C is the centre of the circle. If acute angle BCD is equal to 80 degrees, what is the size of acute angle BAD at the circumference?

Answer:

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.

28. Lines AB and CD intersect at point E. Therefore, angles AED and CEB are said to be vertically opposite. What does this mean?

Answer:

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.

29. What is (x+2)^-5 without a negative index?

Answer:

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

30. Circle Geometry
The cyclic quadrilateral ABCD lies inside a circle. The line BC is extended to the point E, creating the line BE and the exterior angle DCE. Angle DCE is equal to which interior angle of the quadrilateral?

Answer:

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.

This is category 21374

Last Updated Aug 10 2024 5:51 AM

Last Updated Aug 10 2024 5:51 AM

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