FormulaWon

GCSE Maths · Practice Sheet 44

Sheet code: GCSE-MATHS-S44 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the slope of the line through (-2, 4) and (-5, -3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
2.
Quantitative Aptitude
A invests £6,000 and B invests £9,000 for the same period. If the total profit is £34,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
3.
Mathematics
Find the distance between the points (-6, 4) and (-4, 1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
4.
Mathematics
In an arithmetic progression with first term 8 and common difference 9, find term number 24.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
5.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
6.
Quantitative Aptitude
Find the average of these 8 numbers: 31, 45, 60, 57, 49, 61, 82, 84.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
7.
Mathematics
Find the slope of the line through (3, 6) and (1, 3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
8.
Mathematics
If f(x) = 5x³ + 6x² + 9x, find f′(2).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
9.
Quantitative Aptitude
A can finish a job in 17 days and B in 18 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
10.
Quantitative Aptitude
The sum of the ages of two people is 86 years, and one is 8 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
11.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
12.
Quantitative Aptitude
A invests £4,000 and B invests £2,000 for the same period. If the total profit is £32,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
13.
Mathematics
Find the sum of the first 20 terms of an AP with first term 19 and common difference 5.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
14.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
15.
Quantitative Aptitude
Divide £1,687 between two people in the ratio 3:4. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
16.
Quantitative Aptitude
A vehicle covers 385 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
17.
Mathematics
Find the slope of the line through (2, 4) and (-1, 8).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
18.
Quantitative Aptitude
The sum of the ages of two people is 67 years, and one is 19 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
19.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
20.
Quantitative Aptitude
Find the average of these 5 numbers: 26, 43, 65, 58, 63.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →

Go to full solutions for this sheet