Numbers
Name the first 5 decimal points for the value of π?
(No calculators allowed)
3.14159
Solve the following simultaneous equations:
3x+y=7
3x+2y=8
(2,1)
How many radians are in 1 degree? (no calculator)
Π/180
What is the x-intercept of the line y=2x+3?
-3/2
What is the sum of the probabilities of all events of a trial?
1
Find the highest common factor (HCF) of 38 and 57.
19
If (x2 + y2) = 10 and (x + y) = 2, and y > 0 find x and y. (without calculator)
Ans: x= -1, y=3
If triangle LMN ≅ triangle PQR, and angle NLM=105°, what is the measure of angle P? (no calculator)
P=105°
What is the quadratic equation which has roots -3 and 2?
k(x2+x-6=0)
The following marks were obtained by the students in a test. 81,72,90,90,86,85,92,70,71,83,89,95,85,79,62,69.
What is the median score?
84
(5.3 x 10-4) x (8.3 x 10-2)
4.4 x 10-5
Find the area of the shaded region. (without calculator)
32 units
The lengths of two sides of a right triangle are x cm and (x + 2) cm. If the length of the hypotenuse is 10 cm, find the value of x. (no calculator)
6 cm
If Line A is y=2x+11, if Line B is perpendicular to Line A and contains the point (6, -7); what is the equation of Line B?
y=-0.5x-4
You are a participant in a mathematics quiz competition. In the final round, you are given a spinner with 29 equal sections, numbered 1 through 29. You win a prize if the spinner lands on a prime number. What is the probability of winning a prize?
10/29 or 0.3448
Find the nth term of this sequence. 0, -4, -8, -12
-4n + 4
If x, y, z are the three factors of a³ – 7a – 6, then what is value of (x + y + z)
3a
In designing a company’s logo, you are tasked with creating a circular emblem featuring an equilateral triangle inscribed within. The length of one side of the triangle is 5 cm, and the radius of the circle is 7 centimeters. Calculate the area of the region between the inscribed triangle and the circle.
143.11 cm
Determine the vertical and horizontal asymptotes of the function 1/x-2
x=2, y=0
If the mean of 2,4,6,8,x,y is 5, then what is the value of x+y?
10
Sally bought a piano for £2200. In each year the value of the piano increases by 11% of its value at the start of that year. Calculate after how many complete years the value of the piano will be at least £3200.
4 years
If 6x² – 12x + 1 = 0, then what is the value of 27x3+1/8x2
189
You are tasked with designing a decorative art piece for a circular table at a banquet. The table has a circumference of 22 cm, and you want to create a sector-shaped artwork with a central angle of 60 degrees. Your goal is to determine the area of the sector, which will be the shaded portion of the artwork.
6.4
Solve the inequality: x2-4x>=0
[−∞,0]∪[4,+∞]
You are playing a game of cards with a standard deck of 52 cards. In this game, you win if you draw a face card (jack, queen, or king) or a card with a prime number. What is the probability of winning with a single draw?
24/52 or approximately 0.46