Free CXC Mathematics Paper 1 May/June 2010 past paper from 2010. 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 May/June 2010 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2010 past paper from 2010. 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.
The number 3.14063 written correct to 3 decimal places is
3.140
3.141
3.146
3.150
(-3)²+(-2)² =
-13
-10
13
25
In scientific notation, 170.04 is written as
0.17004×10³
1.7004 × 10²
17.004 × 10¹
1.7004 × 10⁻²
0.386×0.06=
0.02316
0.2316
2.316
23.16
What number when added to 1⅓ gives 2?
1/3
2/3
1
3
A man leaves home at 22:15 hrs and reaches his destination in the same time zone at 04:00 hrs on the following day. How many hours did the journey take?.
5
5
6
6
The H.C.F. of 12, 15 and 60 is
3
5
12
60
The number 301 can be written as
3×10³+1×10
3×10²+1×10
3×10³+1
3×10²+1
If 3n is an odd number, which of the following is an even number?
3n-1
3n-2
3n+2
3n+2n
25 × 130 is the same as
(25×100)+30
(25+30) × 100
(25×30)+(25×100)
(100×30)+(100×25)
In the Venn diagram above, the shaded area represents
P^{\prime}
Q \cap P^{\prime}
Q \cup P^{\prime}
In a class of 32 students, 17 study Music and 20 study Art. What is the LEAST number of students who are studying BOTH Music and Art?
3
5
12
15
If then the number of subsets of is
8
6
4
3
If and , then the shaded region represents
{}
{1,2}
{4, 6, 8 ...}
{12, 24, 36, ...}
If TT$6.00 is equivalent to US$1.00, then TT$15.00 in U.S. dollars is
$0.25
$0.40
$2.50
$4.00
of is
$ 1.62
$15.52
$16.00
$16.25
If sweets cost cents, then the cost of one sweet is
cents
$pq$ cents
cents
cents
How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
$56.00
$53.00
$47.00
$44.00
A table is sold on hire purchase. The sale price consists of a deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
$360
$366
$666
$966
A loan of $8 000 was repaid in 2 years in monthly payments of $400.00. The interest on the loan, as a percentage, was
5%
8%
16%
20%
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 55 000 m³ of gas?
$178.75
$175.25
$165.00
$151.25
(8a)² =
16a
64a
16a²
64a²
Item 24 refers to the expansion below.
(x + a) (x + b) = x² + (a + b) x + ab
The middle term in the expansion of (x + 3) (x - 1) is
2
3
2x
4x
5(x+y) - 3(x-y) =
2x
2x + 2y
2x + 8y
8x + 8y
4x/7y + 3x/5y may be written as
41x / 35y
41x² / 35y
41xy / 35y
20x + 21y / 35y
If , then $7 * 28 = $
Given , the range of values of is
If , , , then $\left(\frac{x}{y}\right)^t = $
When 6 is added to a number and the sum is divided by three, the result is four. This statement written in mathematical symbols is
The values of and which satisfy the equations and are respectively
15 and 10
10 and 15
7 and 13
13 and 7
The volume of a cube of edge 10 cm is
30 cm³
100 cm³
300 cm³
1000 cm³
2500 millimetres expressed in metres is
0.25
2.5
25
250
A boy leaves home at 09:15 hours and arrives at school at 10:05 hours. If he travels non-stop at an average speed of 6 kmh⁻¹, what is the distance, in km, of his home from school?
2 km
5 km
6 km
9 km
The distance around the edge of a circular pond is 88 m. The radius, in metres, is
176π
88π
Item 37 refers to the diagram below.
AOB is a sector of a circle such that angle AOB = 60° and OB is r units long. The area of AOB is
Which of the figures below, not drawn to scale, has an area equal to square units?
The area of a triangle is 30 cm² and its base is 10 cm. What is the perpendicular height, in cm, of the triangle?
6
12
13
17
The median of the numbers: 1, 1, 5, 5, 6, 7, 7, 7, 7, 8 is
5.4
6
6.5
7
Six hundred students write an examination. The probability of a randomly selected student failing the examination is . How many students are expected to pass?
120
480
500
600
The lengths of 30 cabbage leaves were measured, to the nearest cm, and the information grouped as shown in the table below.
The limits of the class intervals are
3, 8, 12, 7
5, 5, 5, 5
9.5, 14.5, 19.5, 24.5, 29.5
10, 14, 15, 19, 20, 24, 25, 29
The bar chart above shows the number of books read by the children who took part in a survey.
How many children took part in the survey?
5
15
75
87
Each of the letters of the word 'CHANCE' is written on a slip of paper similar in size and shape. The slips of paper are then placed in a bag and thoroughly shaken. What is the probability of drawing a letter 'C'?
The pie-chart above shows the preference in drinks of a group of students. If 12 students prefer chocolate, then the TOTAL number of students is
48
72
180
360
Which of the following represents the equation of a straight line?
The straight line AB cuts the Y axis at
(0,3)
(0, 2)
(3,-2)
(0,-2)
The values of x for which y = 4x - x² intersects y = 0 are
x = 0 and x = 4
x = 0 and x = 2
x = 0 and x = -4
x = 2 and x = 4
If f(x) = x² - x - 1, then f(-5) =
-31
19
24
29
Which of the following BEST describes the function?
Item 52 refers to the diagram below.
AC and DE are straight lines intersecting at B. Angle DBA = 58°.
The measure of angle ABE is
58°
122°
142°
302°
If the sum of the interior angles of a polygon is 4 right angles, the polygon is a
triangle
hexagon
pentagon
quadrilateral
A ship sailed 8 km due east from A to B, then sailed 6 km due north to C. Which diagram below BEST represents the path of the ship?
The image of the point P(-3, 2) under the translation is
(-5,3)
(-2,4)
(-1,3)
(-1, 1)
Item 57 refers to the following diagram.
In the diagram above, if the line y = x is rotated anti-clockwise about O through 90°, what is its image?
y=0
x=0
y=x
y = -x
A ladder 5 metres long is leaning against a vertical wall. The foot of the ladder is 3 m away from the wall. How far up the wall does the ladder reach?
4 m
6 m
8 m
15 m
Item 59 refers to the diagram below.
The diagram above, not drawn to scale, shows that the angle of depression of a point X from Z is 30°. If X is 10 metres from Y, the height of YZ, in metres, is
10 tan 60°
10 cos 60°
10 tan 30°
10 sin 30°
In a triangle ABC, angle A = x° and angle B, 2x°. What is the size of angle C?
60°
45°
(180-3x)°
()