CSEC Mathematics Paper 1 January 2011 - Free CXC Past Paper with Answers

There are 40 students in a class. Girls make up 60% of the class. 25% of the girls wear glasses. How many girls in the class wear glasses?

If $560 is shared in the ratio 2:3:9, the difference between the largest and the smallest shares is

If 60% of a number is 90, what is the number?

$(\frac{-1}{2})^3$ is the same as

What is the highest Common Factor of the set of numbers {54, 72, 90} ?

If 3n is an odd number, which of the following is an even number?

By the distributive law $49 × 17 + 49 × 3 = $

Which of the following sets is equivalent to $\{a, b, c, d\}$ ?

If $U = \{1,3,5,6,8\}$ and $A = \{3,6\}$, then the number of elements in $A'$ is

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 5. The shaded region represents the set of all multiples of

A plot of land is valued at $18000. Land tax is charged at a rate of $0.70 per $100. What is total amount of tax to be paid for the land?

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

The table above 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?

A man bought a cow for $200 and sold it to gain $50. What was his gain as a percentage of the cost price?

If the simple interest on $800 for 3 years is $54. What is the rate of interest per annum?

A customer buys a table on hire purchase. He makes a deposit of $306 and pays six monthly installments of $60 each. The TOTAL cost to the customer is

A man pays 60 cents for every 200 m³ of gas used, plus a fixed charge of $13.75. How much does he pay when he uses 55000 m³ of gas?

A company employs 12 gardeners at $26 per day, and 8 clerks at $17 per day. What is the mean daily wage, in dollars, of the 20 employees?

$\frac{4}{5x} + \frac{2}{5x} = $

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

The expression $-2(x-4)$ is the same as

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

If $m*n = \sqrt{mn-n^2}$, then $5*3=$

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

Given that $3(x-1)-2(x-1)=7$, then the value of $x$ is

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

The sum of two numbers $x$ and $y$, is 18, and their difference is 14. Which pair of equations describes the above statement?

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

2500 millimetres expressed in metres is

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

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

The area of the quadrilateral above is

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, in centimeters?

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

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

The number of boys who chose football is

How many boys participated in cricket?

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

The median of the numbers: 1, 1, 5, 5, 6, 7, 7, 7, 7, 8 is

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 lengths of 30 cabbage leaves were measured, to the nearest cm, and the information grouped as shown in the table above. The class boundaries are

Which of the following line graphs represents {x:-2< x ≤4}?

If $f(x) = x^2-x-1$, then $f(-5) =$

The straight line AB cuts the y axis at

Which of the following represents the graph of a function?

The arrow diagram above shows a function. 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

What is the measure of $\angle BAC$?

In the diagram, $AB$ is parallel to $CD$, and $\angle JKB = 125^\circ$. $\angle MLD$ is

In the right-angled triangle above, not drawn to scale, $\hat{Q} = 90^\circ$, $PQ = 50$ cm, $PR = 130$ cm and $RQ = x$ cm. $\text{Tan } \hat{PRQ} =$

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

AB is parallel to EC. Calculate $\angle BDE$.

The triangle LMN is rotated in a clockwise direction about L through an angle of 90°. What is its image?

In the diagram above, if the line $y = x$ is rotated anti-clockwise about $O$ through $90^\circ$, what is its image?

How many triangles congruent to $\triangle ADE$ would be needed to cover the rectangle $ABCD$ entirely?

In each of the diagrams shown below, $A'$ is the image of $A$. Which of the following diagrams shows a reflection in the $x$ axis ?