CXC Maths 2014

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CSEC MATHEMATICS
Past Paper Solution – May 2014 cxcDirect Institute

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** Please see the original past paper for the questions.
Only the answers will be provided as per copyright obligations. 2 a) x –2 x+1 +
=
3
4

**********************************************************

4( x−2)+3( x+1)
12

=

4x−8+3x +3
12

=

4x−8+3x +3
12

=

7x−5
12

(i)

x+4 =

x
+10
2

(ii)

x −6 = 2x +9

Q1a. May 2014
Using a calculator:
Q1a(i).

5.25÷0.015

= 350

Q1a(ii).

√(6.5025)

= 2.55

Q1a(iii).

3.142×2.2362

= 15.7

( 3 SF)
2 b)

Q1b(i)
Cement

Sand

Gravel

Comments

Given

1

4

6

Mixing ratio

Q1b(i)

4

6 x 4 = 24

24 buckets of gravel needed

2

2 c)

Q1b(ii)-b

20
4

=5

5

20
20

5 buckets of cement needed
6 x 5 = 30

30 buckets of gravel needed

(i)

3x + 5 = y

(ii)

3(4) + 5 = 17

(iii)

3x + 5 = 8

(1v)

Q1b(ii)-a

y–5
3

so

x=1

=x

Q1.c (i)
Total hire purchase price = deposit + total monthly payments

2 d) Simultaneous equations: ( solving by elimination)

Deposit
= $350
Total monthly payments = 10 months x 120

By multiplying the second equation by 3, we get:
= $1,200

Total hire purchase price = 350 + 1200

= $1,550

2x +3y = 9
9x – 3y = 24
By adding both equation we get:
11x = 33

so (x = 3)

Q1.c (ii)
Amount saved if laptop is purchased for cash of $1,299
= 1,550 – 1,299

By substituting (x=3) into the first equation we get:

= $251

2(3)+3y = 9 so © cxcDirect Institute

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Email: [e-mail]

6

+ 3y = 9

website: www.cxcDirect.org