CSEC Mathematics Paper 1 May/June 2015 - Free CXC Past Paper with Answers

The first three terms of an arithmetic progression are $x$, $10$, $3x$. The value of $x$ is

The sum to infinity of a geometric progression is $18$. The first term is $12$. The common ratio is

The sum of the first $n$ terms of a geometric progression is given by $S_n = \frac{a(r^n - 1)}{r-1}$. The sum of the first $10$ terms of a geometric progression with first term $2$ and common ratio $3$ is

If $f(x) = 2x^3 - 5x + 7$, then $f'(x)$ is

The gradient of the curve $y = x^3 - 2x^2 + 5x - 1$ at the point $(1, 3)$ is

The integral of $(2x+3)$ with respect to $x$ is

The definite integral $\int_1^2 (3x^2 - 2) dx$ is equal to

Using the distributive property $49 \times 17 + 49 \times 3 =$

The next term in the sequence $1, 6, 13, 22, 33, \dots$ is

Given that $P = \{2, 3, 5, 6\}$ and $Q = \{2, 3, 4\}$, then $P \cup Q$ is described as

In the Venn diagram, the shaded area represents

In a group of 40 students, 28 play tennis and 22 play chess. What is the LEAST number of students who play BOTH tennis and chess?

If $P = \{\text{Factors of } 6\}$ and $Q = \{\text{Factors of } 4\}$, then the shaded region represents

Mrs Jones' taxable income is $18 400. She pays tax at a rate of 20%. The amount of income tax she pays is

The value of a plot of land is $18 000. Land tax is charged at the rate of $0.70 per $100 value. What is the TOTAL amount of tax paid for the land?

At the end of any year a car is worth 5% less than what it was worth at the beginning of the year. If a certain car was worth $10 000 at the beginning of 2014, then its value at the end of 2014 was

A man bought a mobile phone for $800 and sold it for $1 000. What was his profit as a percentage of the cost price?

Susan bought a calculator for $120. She had to pay sales tax of 10% on the price. How much change would she receive from $140?

The simple interest on a loan of $6 000 for 3 years was $900. What was the rate of interest per annum?

A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is

If $7 000 is borrowed at the rate of 5% per annum for 3 years, the simple interest is

-2(x-4) =

If x is an integer that satisfies the inequality 4 < 2x ≤ 6, then

The total cost of 3 pens and 2 boxes is

3x² × 2x³ =

P = $\frac{m^2}{2-m}$. When m=-3, the value of P is

If a*b = $\frac{b}{a} - 1$, then 7 * 28 =

If $5x - 26 = x + 50$, then the value of $x$ is

John has $x$ marbles and Max has twice as many. Max gives John 5 of his marbles. How many marbles does Max now have?

When 8 is subtracted from a certain number and the result is multiplied by 3 the answer is 21. What is the original number?

The volume of a cube with edge 10 cm is

A car travels 80 kilometres in 2½ hours. What is its speed in kilometres per hour?

Given that 1 millimetre = $\frac{1}{1000}$ metres, express 2 500 millimetres in metres.

The area of AOB is

The distance around the edge of a circular pond is 88 metres. The radius, in metres, is

A man leaves home at 22:15 hours and reaches his destination at 04:00 hours on the following day in the same time zone. How many hours did the journey take?

The area of a triangle is 30 cm² and its base is 10 cm. What is the height, in cm, of the triangle?

The perimeter of a square is 48 cm. What is the area, in cm²?

The diagram, not drawn to scale, shows a cylinder of radius 3 cm and height 8 cm. The volume is

What was the modal age?

How many children took part in the survey?

Jade's scores on her nine spelling tests are 5, 7, 7, 4, 5, 4, 7, 6, 6. Therefore, her median score on these nine tests is

If the mean of the four numbers 4, 8, x and 12 is 10, then x is

The boundaries of the class interval 10–14 are BEST recorded as

The straight line AB cuts the x-axis at

The relationship that BEST describes the mapping shown in the diagram is

If $f(x) = 2x^2 - 1$, then $f(-3) =$

The maximum point of $y = 4x - x^2$ is

The values of $x$ at the points where $y = 4x - x^2$ intersects $y = 0$ are

Which of the following BEST describes the function?

If the sum of the interior angles of a polygon is 4 right angles, then the polygon is a

In the diagram, $AB$ and $CD$ are parallel. Which of the following BEST describes the relation between $x$ and $y$?

In the triangle, the value of $x$ is

In the diagram, ΔOPQ is mapped onto ΔOP'Q'. What type of transformation has taken place?

The length of MO, in centimetres, is

In the triangle, not drawn to scale, angle BAC=30° and AB = 40 m. The length BC, in metres, is

In the diagram, the translation by which AB is mapped onto A'B' is represented by

How far up the wall does the ladder reach?

An estimate of the height of the building is obtained by calculating