CSEC Mathematics Paper 1 January 2007 - Free CXC Past Paper with Answers

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 3 terms of a geometric progression is 26 and the sum of the first 6 terms is 728. Find the sum of the first 9 terms.

The first term of a geometric progression is 2 and the common ratio is 3. Find the sum of the first 5 terms.

The sum of the first $n$ terms of a sequence is given by $S_n = 3n^2 + 2n$. Find the 5th term of the sequence.

The sum of the first $n$ terms of a sequence is given by $S_n = n(n+1)(n+2)$. Find the 4th term of the sequence.

The sum of the first $n$ terms of a sequence is given by $S_n = \frac{n(3n+1)}{2}$. Find the 6th term of the sequence.

The sum of the first $n$ terms of a sequence is given by $S_n = 2^n - 1$. Find the 7th term of the sequence.

The sum of the first $n$ terms of a sequence is given by $S_n = 3^n - 1$. Find the 4th term of the sequence.

What is the value of the digit 2 in the number 48.621?

By the distributive law $49 \times 17 + 49 \times 3 =$

In the Venn diagram above, the shaded area represents

In the figure above, X represents the set of multiples of four. Y represents the set of multiples of five. The shaded region represents the set of all multiples of

In which one of the following Venn diagrams is the region $A \cap B'$ shaded?

$A = \{\text{Factors of } 30\}$ $B = \{\text{Prime numbers less than } 10\}$ $C = \{\text{Even whole numbers less than } 10\}$ Then $n(A \cap B \cap C)$ is

If p sweets cost q cents, then the cost of one sweet is

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

An article bought for $125 was sold for $175. The percentage profit was

What is the probability that a student chosen at random would have obtained a score less than 5?

The above table shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50 000, and the contents at $10000?

Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain?

Mary invested $200 for 3 years at 5% per annum. John invested $300 at the same rate. If they both received the same amount of money in interest, for how many years did John invest his money?

A woman buys a pair of shoes at a sale. She pays $60, saving $15 on the regular price. The percentage discount on the shoes is

-2(x-4)

The total cost of 3 pens and 2 boxes is

3a (a + 2b) - b (2a - 3b) =

Given that a * b = 2a - 3b, then 2 * (-3) =

2(a²b)³ =

Given that 2x + 3 ≥ 9, the range of values of x is

Given that $3(x-1)-2(x-1)=7$, 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?

The area of the rectangle, in cm², is $x^2$. The equation that may be used to find the value of $x$ is

The mass, in kg, of a bag of rice is given as 10.6 correct to 1 decimal place. The range of values in which the actual mass lies is

The volume of a cube whose edge is 6 cm long is

The figure above, not drawn to scale, shows a sector of a circle centre O. The length of the minor arc PQ is 8 cm. What is the length of the circumference of the entire circle?

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

Which of the following statements is true about the perimeters of the figures A and B?

The lengths of the sides of a triangle are $x$, $2x$ and $2x$ centimetres. If the perimeter is 20 centimetres, what is the value of $x$?

The area of a rectangle is 53.6 cm². If the length is multiplied by four and the width is halved, the area would then be

Each exterior angle of a regular polygon measures 45°. How many sides has the polygon?

The number of boys who chose football is

The probability that a boy chosen at random participated in boxing is

How many boys participated in cricket?

Which one of the following is NOT a statistical diagram?

A bag contains 2 red, 4 yellow and 6 blue balls. The probability of drawing a blue ball from the bag at random is

The modal score is

The arrow diagram above describes the relation

The gradient of AB in the figure above is

Which of the following BEST describes the function?

The range of $f: x \to x^3$ for the domain $\{-2,-1,0, 1,2\}$ is

If a, b and c are constants, the equation of the graph could be

Which of the following represents the graph of a function?

What is the measure of $\angle BAC$?

In the right-angled triangle above, $\tan \theta$ is

A ship sails 8 km due east from A to B. It then sails 6 km due north to C. Which diagram below BEST represents the path of the ship?

The image of a point P(-2, 3) under a translation $\begin{pmatrix} 3 \\ 4 \end{pmatrix}$ is

In the diagram above, AB is parallel to EC. Calculate $\angle BDE$.

In the diagram above, the vector that translates PQ to P'Q' may be described as

In the diagram above, $\angle CAB = 35^\circ$ and AC is the diameter of the circle. Angle ADB is

A plane is heading in a direction of 045° and changes course in a clockwise direction to 135°. The angle through which the plane turns is