SA2 EXAMINATION 2023-24
Candidate Name: _____________
Std: 9th Grade CAIE
Date: 21/03/2024
Subject: Mathematics Extended
Paper 4 Calculator
Code: 0580/04
Time: 1 hour
Total Marks: 50
You will need: Geometrical Instruments
__________________________________________________________________________________________
INSTRUCTIONS
● Answer all questions.
● Use a black or dark blue pen.
● You may use an HB pencil for any diagrams or graphs.
● Write your name, at the top of the page.
● Do not use an erasable pen or correction fluid.
● Do not write on any bar codes.
● You should use a scientific calculator where appropriate.
● You may use tracing paper.
● You must show all necessary work clearly.
● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees,
unless a different level of accuracy is specified in the question.
● For π, use either your calculator value or 3.142.
INFORMATION
● The total mark for this paper is 50.
● The number of marks for each question or part question is shown in brackets [ ].
__________________________________________________________________________________________
Answer:
20
7
or 2.8571 or 2.9
Answer: 23.5
3.After a price increase of 10%, a television costs $286. What was the price before the increase?
Answer:
4.Eight workers can dig a hole in 4 hours. How long will it take five workers to dig the same size hole?
Solution: 8 workers take 4 hours
1 worker would take 8x4=32 hours (Inverse proportion)
5 workers would take 32/5 hours = 6 hours 24 minutes or 6.4 hours
5.Vivien earns $42 000 per year and she gets a tax free allowance of $9000. If she pays 20% tax on the next $30
000 and 40% on the rest, how much tax does she pay in total?
6.For the below equation
a)
1225 = 35
b) X =
7.
𝑦
𝑢
2
2
Answer: Formula
4+(−8)
10+5
=( 2
, 2 )
= (-2, 7.5)
8.
Answer:
9.
10.
Answer:
=
Answer:
Gradient of AB =
−1
2
Gradient of line perpendicular to AB = 2
Equation of line perpendicular to AB = y = mx + c
On substituting (-1,3), y - intercept C = 5
Hence, Equation of line perpendicular to AB
= y = 2x+5
11.
12.Solve the quadratic equation
2
𝑥 + 3𝑥 − 11 = 0
By the method of completing the square, giving your answers correct to 2 decimal places
Answer:
2
𝑥 + 3x = 11
3 2
2
𝑥 + 3x + ( 2 )
2
3 2
= 11 + ( 2 )
2
(𝑥 + 1. 5) = 11+ 1. 5
2
= (𝑥 + 1. 5) = 2.25 +11 = 13.35
X +1.5 = ± 13. 25
x= -1.5 + 13. 25
or x = -1.5 - 13. 25
X = - 5.14 (2 d.p) or x = +2.14 (2 d.p)
13.
Answer:
14. Use a single graph paper to draw the lines.Write down the point of intersection
Point of intersection = (3.5,3.5)
15.
Answer:
17.
Simple Interest
Simple Interest =400
Amount =2400
Compound Interest:
Future Value=
Amount= 2343.32
= {(4743.32 - 4000)/4000} *100
= {(743.32)/4000} *100
= 18.57 or 18.58, or 18.6