Item 12 refers to the Venn diagram below. U P Q In the Venn diagram, , and .
12.
What is ?
- (A)
1
- (B)
4
- (C)
5
- (D)
9
Free CXC Mathematics Paper 1 January 2014 past paper from 2014. 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 2014 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 January 2014 past paper from 2014. 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
If , then is
1.591
15.91
159.1
1591.0
$\frac{2}{5} + 4\frac{3}{7} = $
Written correct to two significant figures, is
0.38
38
38.10
38.11
If $350 is shared in the ratio 2:5, the SMALLER share is
$250
$175
$100
$70
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
If is an odd number, which of the following is an even number?
What is the HIGHEST common factor of the set of numbers {54, 72, 90}?
9
18
90
1080
. has the same value as
The first three common multiples of 3, 4 and 6 are
0, 1, 2
3, 4, 6
6, 8, 12
12, 24, 36
If , and Then
Item 12 refers to the Venn diagram below. U P Q In the Venn diagram, , and .
What is ?
1
4
5
9
Item 13 refers to the Venn diagram below. U H V 5 2 4 3 In the Venn diagram The number of students in each set is shown. How many students do NOT play volleyball?
2
3
5
8
All students in a class play Scrabble or Checkers or both. If 36% of the students play Scrabble only and 48% of the students play Checkers only, what percentage of students play BOTH games?
12
16
84
88
The cost of a calculator exclusive of sales tax is $120. Susan bought a calculator and had to pay a sales tax of 10%. How much change would she receive from $140?
$ 8.00
$12.00
$28.00
$32.00
The simple interest on $600 for 4 years at 5 percent per annum is
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 plot of land is valued at $18000. Land tax is charged at the rate of $0.70 per $100. What is the TOTAL amount of tax paid for the land?
$110.00
$126.00
$180.70
$257.15
A loan of $8000 was paid back in 2 years in monthly payments of $400.00. The interest on the loan, as a percentage, was
5%
20%
A store offers a discount of 10% to customers who spend more than $20. If a customer's total bill was $80, what will he actually pay?
$60
$70
$72
$74
How much will a person pay for his insurance, if his house is valued at $50 000, and the contents at $10 000?
$175
$225
$450
$500
A car presently valued at $12 000 depreciates at the rate of 10% per annum. What will be the value of the car one year later?
$10 800
$11 800
$11 880
$13 200
The product of a number p and its reciprocal may be written as
5(2x-y)-2(3y - 5x) =
20x - 11y
5x - 7y
2x - 6y
The value of (-2a) (-3a) is
5a²
6a²
If 50 - 3x = x - 26, then x =
6
19
If then the square root of 0.0225 is
0.015
0.15
1.5
15.0
If a = 5, b = 2, c = 4, then 6ab - 2c =
5
52
60
628
If x is an integer which satisfies the inequalities , then the SMALLEST possible value of x is
7
6
5
4
If m * n = , then 5 * 3 =
2
√8
4
√34
$2^6 ÷ 2^2 = $
How many kilograms are there in one tonne?
10
100
1 000
10 000
If it took a speed-boat 9 hours to travel a distance of 1 080 km, what was its average speed, in kmh⁻¹?
12
102
120
1200
The distance around a lake is 8 km. On a map, this distance around the lake is represented by a length of 2 cm. The scale on the map is
1 : 40
1 : 2 000
1 : 200 000
1 : 400 000
Item 35 refers to the diagram below, not drawn to scale, which shows the sector of a circle with centre, O. P 60° 0 Q
In the diagram, the length of the minor arc, PQ, is 8 cm. What is the circumference of the circle?
16 cm
24 cm
48 cm
64 cm
Fifty guests each had 2 glasses of champagne. Each glass held 150 millilitres. How many litres of champagne were used?
0.15
1.5
15
150
Item 37 refers to the diagram below, not drawn to scale, which shows a trapezium. 8 cm S R 5 cm ↑ 5 cm P Q -18 cm
The area of the trapezium is
45 cm²
65 cm²
90 cm²
130 cm²
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, how many km is his home from school?
2 km
5 km
6 km
9 km
Item 39 refers to the diagram below, not drawn to scale, which shows a cuboid. 5 cm ↑
The volume of the cuboid is 320 cm³ and the height is 5 cm. If the cuboid has a square base, what is the length of one side of the base?
8 cm
16 cm
32 cm
64 cm
Item 40 refers to the information below. The following scores were obtained by eleven footballers in a goal-shoot competition: 5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 3
The modal score is
3
6
8
11
The table below shows the frequency of scores obtained by students in a test. Scores 235 6 8 10 No. of Students 846 392
The range of the scores is
2
7
8
10
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
In a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy?
If the mean of the four numbers 4, 8, x and 12 is 10, then x is
4
10
12
16
If 12 students prefer lemonade, then the TOTAL number of students is
48
72
180
360
The equation of the line which passes through the point (0, 2) and has a gradient of is
y = 3x
y = 3x + 2
y = x
y = x + 2
The diagram represents the mapping
x → x + 2
x → x + 1
x → 2^x
x → 2x
If , then
-32
-19
17
35
Which of the following sets is represented by the function where ?
{(0, 3), (1, 4), (2, 7), (3, 12)}
{(0, 3), (1, 5), (2, 7), (3, 9)}
{(0, 3), (1, 4), (2, 5), (3, 6)}
{(0, 3), (1, 1), (2, 4), (3, 9)}
The range of for the domain is
{0,1,4}
{0,2,4}
{-4,-1, 0, 1, 4}
{-4,-2, 0, 2, 4}
Which of the following angles are equal?
∠ DBC and ∠ CBE
∠ CBE and ∠ ABE
∠ ABD and ∠ CBD
∠ ABD and ∠ CBE
The measure of angle ABE is
58°
122°
142°
302°
Item 54 refers to the diagram below.
If O is the centre of the circle, then y' is
25°
80°
90°
100°
In the triangle cos P may be expressed as
The image of a point P(-2, 3) under a translation is
(-6, 12)
(-5,-1)
(1,7)
(5,1)
The transformation which will map triangle PQR onto P'Q'R' is
a rotation of 180° about the origin
a reflection in the line y = x
an enlargement, centre R, of scale factor -1
a translation parallel to the x-axis
The length of MO, in centimetres, is
7
6
3.5
3
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?
How far up the wall does the ladder reach?
4 m
6 m
8 m
15 m