CSEC Mathematics Paper 1 January 2018 - Free CXC Past Paper with Answers

The exact value of $6 \div (0.0003)$ is

If $6 \times 10^{-n} = 0.06$, $n > 0$, then $n$ is

Paula bought $1 \frac{7}{8}$ m of fabric to make a shirt, while Rita bought $1 \frac{3}{4}$ m to make her shirt. How much MORE fabric did Paula buy than Rita?

The value of $29.94 \times 0.5$ is approximately

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?

$(3 \times 7) + (3 \times 5)$ is the same as

What is the HIGHEST common factor of the set of numbers $\{30, 45, 90\}$?

What is the LEAST number of plums that can be shared equally among either $6, 9$ or $12$ children?

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

If $A = \{3, 6, 9\}$, then the number of subsets of $A$ is

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

If the universal set $U = \{1, 2, 3, 4, 5, 6\}$ and $H = \{3, 4, 6\}$, then $H' =$

In the Venn diagram $U = \{\text{students who play games}\}$ $H = \{\text{students who play hockey}\}$ $V = \{\text{students who play volleyball}\}$

The number of students in each set is indicated. How many students do NOT play volleyball?

The simple interest on $$600$ for $4$ years at $5$ per cent per annum is

$3 \frac{1}{4} \%$ of $$500$ is

Mrs Jones has US$$200$ to change to TT$. The bank gives her TT$$6.20$ for US$$1$ and charges TT$$2.50$ for the transaction. Mrs Jones receives

A man's basic wage for a $40$-hour week is $$160.00$. He is paid $$5.00$ per hour for overtime. If he works $6 \frac{1}{2}$ hours overtime in a certain week, his wage for that week is

A dinner at a restaurant was advertised at $$60$ plus $18%$ tax. The TOTAL bill for this dinner was

A store offers a discount of $10%$ to customers who spend more than $$20$. If a customer's total bill is $$80$, what will he actually pay?

A salesman sells a car for $$10 \ 500$. If he is paid a commission of $5%$ for the first $$10 \ 000$ and $8%$ on the remainder, then the TOTAL commission he receives is

Mr Jones buys a car for $$64 \ 000$. The car depreciates by $20%$ in the first year and $10%$ in each of the following years. The value of the car at the end of the second year is

$15p + 55q - 2(3p + 4q) =$

$-(-2q) - 3q =$

$2^6 \div 2^2 =$

If $\frac{p}{5} = 20$, then $p =$

"When $7$ is added to $3$ times a certain number, $n$, the result is $22$." The statement above may be represented by the equation

Thirty-six men can paint a shopping mall in $25$ days. How many days will it take $15$ men to paint the mall, if they work at the same rate?

If $x = 4$ and $y = 2$, then the value of $\frac{x^2 + 3y}{xy}$ is

The trapezium with height, $h$, has an area of $x^2 \text{ cm}^2$. The equation that may be used to find the value of $x$ is

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

In the circle above, with centre $O$, the area is $20 \text{ cm}^2$. The area of the minor sector $AOB$, in $\text{cm}^2$, is

$2,500$ millimetres expressed in metres is

The volume, in $\text{cm}^3$, of the cylinder is

The distance around the edge of a circular pond is $88 \text{ m}$. The radius, in metres, is

An aircraft leaves $A$ at $16:00$ hours and arrives at $B$ at $19:30$ hours, travelling at an average speed of $550$ kilometres per hour. $A$ and $B$ are in the same time zone. The distance from $A$ to $B$, in kilometres, is

The volume of the cuboid is $320 \text{ cm}^3$ and the height is $5 \text{ cm}$. If the cuboid has a square base, what is the length of one side of the base?

A square has the same area as a rectangle with sides of length $9 \text{ cm}$ and $16 \text{ cm}$. What is the length of the side of the square?

The distance around a lake is $8 \text{ km}$. On a map, this distance around the lake is represented by a length of $2 \text{ cm}$. The scale on the map is

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

The modal score is

The heights, in cm, of 10 students are $150, 152, 155, 153, 170, 160, 156, 165, 158, 155$. The range is

How many children took part in the survey?

Six hundred students write an examination. The probability of a randomly selected student failing the examination is $\frac{1}{5}$. How many students are expected to pass?

If 12 students prefer lemonade, then the TOTAL number of students is

The relationship that BEST describes the mapping in the diagram is

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

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

The diagram represents the mapping

Which of the following sets is represented by the function $f: x \to x^2 + 3$ where $x \in \{0, 1, 2, 3\}$?

In the diagram $PQ$ and $RS$ are parallel. Which of the following BEST describes the relation between $p$ and $q$?

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

If $O$ is the centre of the circle, then $y^\circ$ is

A ship sailed $8\text{ km}$ due east from $A$ to $B$. It then sailed $6\text{ km}$ due north to $C$. Which of the following diagrams BEST represents the path of the ship?

The transformation which will map triangle $PQR$ onto $P'Q'R'$ is

The diagram, not drawn to scale, shows that the angle of depression of point $X$ from $Z$ is $35^\circ$. If $X$ is $12\text{ metres}$ from $Y$, the height $YZ$, in metres, is

In the diagram, triangle $ABC$ is mapped onto triangle $A'B'C'$ where $O$ is the centre of enlargement. What is the scale factor of the enlargement?

In the right-angled triangle above, which trigonometric ratio is equal to $\frac{4}{8}$?

In the diagram above, $AB$ is parallel to $EC$. The value of $\angle BDE$ is