FormulaWon

GCSE Maths · Practice Sheet 3

Sheet code: GCSE-MATHS-S03 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
In an arithmetic progression with first term 10 and common difference 8, find term number 5.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
2.
Quantitative Aptitude
Divide £749 between two people in the ratio 2:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
3.
Mathematics
Find the slope of the line through (-2, 3) and (5, 1).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
4.
Mathematics
Evaluate log base 2 of 8.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
5.
Quantitative Aptitude
A value changes from 400 to 280. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →
6.
Quantitative Aptitude
A invests £4,000 and B invests £4,000 for the same period. If the total profit is £28,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
7.
Quantitative Aptitude
Find the HCF and LCM of 40 and 25.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
8.
Quantitative Aptitude
A vehicle covers 468 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
9.
Quantitative Aptitude
Divide £1,161 between two people in the ratio 3:6. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
10.
Mathematics
Find term number 3 of a geometric progression with first term 2 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
11.
Mathematics
Find the slope of the line through (3, -4) and (4, 5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
12.
Mathematics
In an arithmetic progression with first term 13 and common difference 5, find term number 17.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
13.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
14.
Mathematics
Find the sum of the first 25 terms of an AP with first term 4 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
15.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 4?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
16.
Quantitative Aptitude
An item is bought for £700 and sold for £805. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
17.
Mathematics
Find the slope of the line through (-1, -5) and (3, 2).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
18.
Quantitative Aptitude
The marked price of an item is £200. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
19.
Mathematics
If f(x) = 4x³ + 2x² + 6x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
20.
Mathematics
Evaluate ∫ from 2 to 5 of 1x^1 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
View formula →

Go to full solutions for this sheet