Numbers
An iPhone 15 costs €480. It is reduced by 15% in a sale.
Calculate the sale price of the phone.
€408
Solve for x:
3x+7=22
x=5
Given:
f(x)=2x+3
Calculate f(4).
f(4)=11
The following are the scores of five students:
6, 8, 10, 12, 14,
Calculate the mean.
10
27° and 82° are angles in a given triangle.
Calculate the remaining angle.
71°
Which one of the following numbers is irrational?
a) ¾
b) −5
c) √2
D. 0.25
√2
Solve for y:
2y−5=3y+7
y = -12
Given:
f(x)=x2−4
Calculate f(−2).
f(−2)=0
The following are the times, in minutes, taken by eight students to complete a maths question:
12, 15, 10, 18, 15, 11, 15, 10
Find the median.
13.5 minutes
A right-angled triangle has sides of length 6cm and 8cm.
Calculate the length of the hypotenuse.
10cm
A student deposits €1,500 into a savings account earning 3.2% simple interest per annum.
Calculate the amount in the account after 5 years.
€1740
Solve the simultaneous equation:
2x+y=11
x−y=1
x=4
The function:
f(x)=3x−6
has a zero at x=a.
Find the value of a.
a=2
A bag contains 5 red counters, 3 blue counters and 2 green counters.
One counter is selected at random.
Find the probability that the counter is blue.
P(blue) = 3/10
A right-angled triangle has an angle of 35∘
The side opposite the angle is 7cm.
Calculate the length of the hypotenuse.
12.2cm
A car travels 360 km using 24 litres of petrol.
At the same rate, how many litres would be needed to travel 525 km?
35 litres
Solve the quadratic equation for two values of x:
x2-5x+6=0
x=2 and x=3
The height of a ball above the ground is modelled by the function:
h(t)=−5t2+20t+2
where h(t) is the height in meters and t is the time in seconds.
Calculate the height of the ball after 3 seconds.
17m
A fair six-sided dice is rolled twice.
Calculate the probability of getting two sixes.
P(two sixes)=1/36
The coordinates of two points are:
A(2,3) and B(8,11)
Calculate the midpoint of AB.
M(5,7)
A student borrows €12,000 from a bank.
The loan is repaid over 3 years with 36 monthly repayments of €375.
Calculate the percentage of total interest paid.
12.5%
The length of a rectangle is 3 cm longer than its width.
The area of the rectangle is 40 cm².
Find the length of the rectangle.
8cm
A company's profit is given by
P(x)=3x−12
where x is the number of products sold, in hundreds.
Find the value of x when the profit is zero.
400 products
A school surveys 200 students about whether they play football or basketball 120 play football, 90 play basketball and 50 play both.
How many play neither football or basketball?
P(F U B)' = 40
A ladder is 6m long and rests against a vertical wall.
The bottom of the ladder is 2.5 m from the wall.
Calculate the height reached by the ladder on the wall.
5.45m