Free CXC Mathematics Paper 1 January 2006 past paper from 2006. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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CSEC Mathematics Paper 1 January 2006 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 January 2006 past paper from 2006. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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Every question from this paper as text. See the answers and worked solutions. Questions are the property of the Caribbean Examinations Council; Caribbean AI is not affiliated with CXC.
(-3)² + (-2)² =
-13
-10
13
25
11.1 ÷ 0.01
110
111
1100
1110
The number 3076 written in standard form is
3.076 x 10³
3.076 x 10²
3.076 x 10⁻²
3.076 x 10⁻³
If $560 is shared in the ratio 2 : 3 : 9, the difference between the largest and the smallest shares is
$80
$240
$280
$360
In a school the ratio of the number of pupils to the number of teachers is 20 : 1. If the number of pupils is 840, how many teachers are there?
40
42
800
840
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?
6
8
10
15
A student used a rod to measure the distances 3.6 m, 5.4 m and 7.2 m. What was the GREATEST length of the rod if it fitted each distance an exact number of times?
0.9 m
1.8 m
2.7 m
3.6 m
301 can be written as
3 x 10³ + 1 x 10
3 x 10² + 1 x 10
3 x 10³ + 1
3 x 10² + 1
-1/8
-1/6
1/8
1/6
By the distributive law 49 x 17 + 3 x 49 =
52 + 66
52 x 66
49 + 20
49 x 20
If P = {a, b, c} then the number of subsets of P is
3
4
8
16
Item 12 refers to the Venn diagram below. <image>
The two circles above represent set P and set Q. If P = {Factors of 6} and Q = {Factors of 4}, then the shaded region represents
{}
{1,2}
{4, 6, 8 ...}
{12, 24, 36, ...}
Item 13 refers to the Venn diagram below. <image>
In the Venn diagram above, the shaded area represents
P'
(P U Q)'
Q ∩ P'
Q U P'
In which one of the following Venn diagrams is the region A ∩ B' shaded?
Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain?
$12
$40
$72
$80
An article costs $161. If a profit of 13% is to be made the selling price, in dollars, is
161 (1 + \frac{13}{100})
13 (1 + \frac{161}{100})
161 (13 + \frac{13}{100})
13 (161 + \frac{13}{100})
Mr. Duncan bought a table at a discount of 30% thus saving $42. What was the marked price of the table?
$98
$110
$140
$182
A television set costs $350 cash. When bought on hire-purchase, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?
$10
$25
$40
$45
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?
$20.00
$21.50
$22.40
$31.50
If $7000 is borrowed at the rate of 5% per annum for 3 years, the simple interest is
$ 105
$ 210
$ 370
$1050
A man's taxable income is found to be $15 200. He pays tax at the rate of 25%. The amount of income tax he pays is
$3775
$3.800
$3 825
$3 875
Which amount is the best buy?
100 ml
150 ml
200 ml
250 ml
$x+8
$5x+8
$5(x+y)-3(x-y) = $
$2x
$2x+2y
$2x+8y
$8x+8y
For all a and b, $3a (a+2b)-b(2a-3b) = $
If , then
When simplified, is written as
If , then $a=$
If is an integer which satisfies the inequalities , then the smallest possible value of is
4
5
6
7
The sum of two numbers, and , is 18, and their difference is 14. Which pair of equations below describes the above statement?
The distance around the edge of a circular pond is 88 m. The radius, in metres is
88π
176π
88/π
88/(2π)
Item 33 refers to the circle below with centre O and circumference of 20 cm.
The length of the minor arc AB, in cm, is
1/60 x 20
60/360 x 20
(360-60)/360 x 20
60 x 20
If the length of a rectangle is doubled, by what number must the width be multiplied in order that the area remains the same?
3
2
1/2
1/4
Item 35 refers to the trapezium below.
The area of the trapezium above is
24 cm²
28 cm²
30 cm²
36 cm²
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
214.4 cm²
107.2 cm²
53.6 cm²
26.8 cm²
Item 37 refers to the cube below.
The volume of the cube is
1000 cm³
300 cm³
100 cm³
30 cm³
Item 38 refers to the cylinder below with radius 3 cm and height 8 cm. <image>
The volume of the cylinder is
If it took a speed boat 9 hours to travel a distance of 1080 km, what was its average speed?
12 km/h
102 km/h
120 km/h
1200 km/h
The pie-chart shows the preference in drinks of a group of students. If 12 students prefer chocolate, then the total number of students in the group is
48
72
180
360
The median of the numbers 1, 1, 5, 5, 6, 7, 7, 7, 7, 8 is
7
6.5
6
5.4
If the mean of the four numbers 4, 8, x and 12 is 10, then x is
4
10
12
16
The highest weekly wage of a group of employees is $105.40, If the range of the wages is $27.50, how much does the lowest paid employee receive?
$105.40
$77.90
$ 66.45
$ 27.50
A bag contains 4 red balls and 5 blue balls. A ball is picked at random from the bag and is found to be red. It is not replaced. What is the probability that the next ball to be taken randomly from the bag will be blue?
1/5
5/9
3/5
5/8
The probability that a home visited at random will contain exactly 4 children is
Which two graphs below represent functions?
I and II
I and III
II and IV
III and IV
If then $h(-6) = $
-4
-\frac{16}{5}
\frac{16}{5}
4
The diagram above shows a graph. If a, b and c are positive constants, the equation of the graph could be
The diagram above shows a line PQ. The gradient of the line PQ is given by
The graph of the inequality in the diagram above is defined by
In the figure above AB and CD are parallel. Which of the following BEST describes the relation between x and y?
The triangle ABC above is right-angled at C. ABC = 40° and AC = 20cm. The length of BC, in cm, is
20 sin 40°
20 tan 40°
Item 54 - 55 refer to the following graph.
The point A(2, -3) is rotated about the origin through an angle of 90° in an anticlockwise direction. What are the coordinates of the image of A?
(3,2)
(2,3)
(-3,-2)
(-3,2)
The transformation that maps Δ LMN onto Δ PQR is
a rotation through 180° about the origin
a rotation of 180° about
an enlargement about of scale factor 2
An enlargement about the origin of scale factor -2
Item 56 refers to the following graph which shows the point A.
What are the co-ordinates of the image of A under reflection in the y-axis?
(-3, 4)
(3, -4)
(4, -3)
(-4, 3)
In the figure above, the line CD is the image of AB after
a rotation through 90° centre O
a reflection in the y-axis
a translation by vector
an enlargement of scale factor -1
How many triangles congruent to would be needed to cover the rectangle entirely?
2
4
6
8
In the right-angled triangle above, not drawn to scale, , cm, cm, and cm.
Tan PRQ =
In the figure above, ABC is a triangle in which .
The angle ABC is
90°
80°
50°
40°
3
4