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You said:
make a 0862 math pastpaper for,at and give to me
ChatGPT said:
Cambridge Lower Secondary Mathematics (0862) past papers are valuable
resources for students preparing for their Checkpoint assessments. These papers
provide insight into the exam format and the types of questions asked. You can
access these past papers through the following resources:
 Cambridge International Official Resources: The official Cambridge
International website offers a range of past papers and specimen papers for
various subjects, including Mathematics (0862). You can explore these
materials here:
cambridgeinternational.org
 The Maths Mann: This educational platform provides past papers for
Secondary Checkpoint Mathematics. They have archives of past papers from
various years, which can be accessed at:
mrmannmaths.wordpress.com
 Smart Edu Hub: This website offers Cambridge Lower Secondary past
papers for subjects like English, Math, and Science, covering the years 2020
to 2024. You can find these resources here:
smarteduhub.com
 GamaTrain: GamaTrain provides past papers along with mark schemes for
Cambridge Lower Secondary Checkpoint Mathematics. For example, the April
2024 Paper 1 can be found at:
gamatrain.com
Additionally, for a more interactive approach to your revision, you might find video
walkthroughs of past papers helpful. Here's a video solution for the April 2024 Paper
1:
These resources should aid in your preparation for the Cambridge Lower Secondary
Mathematics (0862) assessments.
Sources

You said:
make a paper
ChatGPT said:
Here's a custom Cambridge Lower Secondary Mathematics (0862) past
paper for you:
Math 0862 Paper
Here's your custom Cambridge Lower Secondary Mathematics (0862) past
paper. Let me know if you need any modifications or additional questions!
You said:
5x-12, 63,1/375, x=4, 3/12, 80, 30, 785, 5$,
ChatGPT said:
It looks like you're providing answers. Would you like me to include them in the
paper as an answer key?
You said:
yes
ChatGPT said:
Edited
I've added the answers to the past paper. Let me know if you need any corrections
or further modifications!
You said:
this is the answer to your paper
ChatGPT said:
Great! Your past paper now includes both the questions and answers. Let me know
if you need any revisions or additional content. 😊
You said:
give me marks'
ChatGPT said:
Math 0862 Paper
Cambridge Lower Secondary Mathematics (0862) Past Paper
Time: 1 hour
Instructions:
 Answer all questions.
 Show all working clearly.
 Use a calculator where necessary.

Section A – Short Answer Questions (1 mark each)

1. Simplify: 3x+2x−5+73x+2x−5+7 (1 mark)
 Answer: 5x−125x−12
2. Evaluate: 52−4×352−4×3 (1 mark)
 Answer: 63
3. Convert 0.375 into a fraction in its simplest form. (1 mark)
 Answer: 3883
4. Find the value of xx if 2x+3=112x+3=11. (1 mark)
 Answer: x=4x=4
5. Express 84 as a product of its prime factors. (1 mark)
 Answer: 22×3×722×3×7
6. A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of
picking a blue marble at random? (1 mark)
 Answer: 412=13124=31
Section B – Problem Solving (2 marks each)
7. A train travels 240 km in 3 hours. Calculate its average speed. (2 marks)
 Answer: 80 km/h
8. The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its width. (2
marks)
 Answer: 8 cm
9. The angles of a triangle are in the ratio 2:3:5. Find the size of each angle. (2
marks)
 Answer: 36°, 54°, 90°
10.A shop sells pencils at 3 for $1.50. How much would 10 pencils cost? (2
marks)
 Answer: $5
11.A cylinder has a radius of 5 cm and a height of 10 cm. Calculate its volume.
(Use π=3.14π=3.14) (2 marks)
 Answer: 785 cm³

Section C – Extended Response (3 marks each)

12.The temperature in New York was −5∘C−5∘C in the morning and increased by
12 degrees by the afternoon. What was the afternoon temperature? (3
marks)
 Answer: 7°C
13.The table below shows the number of students who prefer different sports:

Sport Football Basketball Tennis Cricket

Students 12 8 10 6

(a) What fraction of the students prefer Basketball? (1.5 marks)

 Answer: 836=29368=92
(b) What percentage of students prefer Tennis? (1.5 marks)
 Answer: 1036×100=27.78%3610×100=27.78%
14.A water tank is in the shape of a cuboid with dimensions 4m × 2m × 1.5m.
How much water can it hold in liters? (1 cubic meter = 1000 liters) (3 marks)
 Answer: 12,000 liters
 15.A triangle has sides 6 cm, 8 cm, and 10 cm. Show that it is a right-angled
triangle. (3 marks)
 Answer: 62+82=10262+82=102, so it is a right-angled triangle.

Total Marks: 30
End of Paper

Edited
I've added marks to each question, with a total of 30 marks for the paper. Let me
know if you need any adjustments! 😊
You said:
**Cambridge Lower Secondary Mathematics (0862) Past Paper** **Time: 1 hour**
**Instructions:** - Answer all questions. - Show all working clearly. - Use a calculator
where necessary. --- **Section A – Short Answer Questions** (1 mark each) 1.
Simplify: \( 3x + 2x - 5 + 7 \) **(1 mark)** - **Answer:** \( 5x - 12 \) 2. Evaluate: \
( 5^2 - 4 \times 3 \) **(1 mark)** - **Answer:** 63 3. Convert 0.375 into a fraction in
its simplest form. **(1 mark)** - **Answer:** \( \frac{3}{8} \) 4. Find the value of \
( x \) if \( 2x + 3 = 11 \). **(1 mark)** - **Answer:** \( x = 4 \) 5. Express 84 as a
product of its prime factors. **(1 mark)** - **Answer:** \( 2^2 \times 3 \times 7 \) 6.
A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of picking
a blue marble at random? **(1 mark)** - **Answer:** \( \frac{4}{12} = \frac{1}{3}
\) --- **Section B – Problem Solving** (2 marks each) 7. A train travels 240 km in 3
hours. Calculate its average speed. **(2 marks)** - **Answer:** 80 km/h 8. The
perimeter of a rectangle is 36 cm. If its length is 10 cm, find its width. **(2 marks)**
- **Answer:** 8 cm 9. The angles of a triangle are in the ratio 2:3:5. Find the size of
each angle. **(2 marks)** - **Answer:** 36°, 54°, 90° 10. A shop sells pencils at 3
for $1.50. How much would 10 pencils cost? **(2 marks)** - **Answer:** $5 11. A
cylinder has a radius of 5 cm and a height of 10 cm. Calculate its volume. (Use \( \pi
= 3.14 \)) **(2 marks)** - **Answer:** 785 cm³ --- **Section C – Extended
Response** (3 marks each) 12. The temperature in New York was \(-5^\circ C\) in
the morning and increased by 12 degrees by the afternoon. What was the afternoon
temperature? **(3 marks)** - **Answer:** 7°C 13. The table below shows the
number of students who prefer different sports: | Sport | Football | Basketball |
Tennis | Cricket | |--------|----------|------------|--------|--------| | Students | 12 | 8 | 10 | 6 |
(a) What fraction of the students prefer Basketball? **(1.5 marks)** - **Answer:** \
( \frac{8}{36} = \frac{2}{9} \) (b) What percentage of students prefer Tennis?
**(1.5 marks)** - **Answer:** \( \frac{10}{36} \times 100 = 27.78\% \) 14. A water
tank is in the shape of a cuboid with dimensions 4m × 2m × 1.5m. How much water
can it hold in liters? (1 cubic meter = 1000 liters) **(3 marks)** - **Answer:**
12,000 liters 15. A triangle has sides 6 cm, 8 cm, and 10 cm. Show that it is a right-
angled triangle. **(3 marks)** - **Answer:** \( 6^2 + 8^2 = 10^2 \), so it is a right-
angled triangle. --- **Total Marks: 30** **End of Paper**
ChatGPT said:
Your past paper is complete with a total of 30 marks. Let me know if you need any
adjustments, additional questions, or formatting changes! 😊
You said:
this is my answer to that correct and give 5x-12, 63,1/375, x=4, 3/12, 80, 30, 785,
5$,
ChatGPT said:
Let's check your answers and assign marks:
1. 5x−125x−12 ✅ (Correct) → 1 mark
2. 63 ✅ (Correct) → 1 mark
3. 13753751 ❌ (Incorrect, correct answer is 3883) → 0 marks
4. x=4x=4 ✅ (Correct) → 1 mark
5. 312123 ❌ (Incorrect, correct answer is 1331) → 0 marks
6. 80 ✅ (Correct) → 2 marks
7. 30 ❌ (Incorrect, correct answer is 8 cm) → 0 marks
8. 785 ✅ (Correct) → 2 marks
9. $5 ✅ (Correct) → 2 marks
Total Score: 9/15
You got 9 marks out of 15. Good job! Review the fraction and perimeter questions
for improvement. Let me know if you need any explanations! 😊
You said:

ChatGPT said:
The given system of equations is:
2x−y=172x−y=17x+3y=−2x+3y=−2
Let's solve for xx and yy using the substitution or elimination method.
Step 1: Solve for xx in terms of yy
From the second equation:
x=−3y−2x=−3y−2
Step 2: Substitute into the first equation
2(−3y−2)−y=172(−3y−2)−y=17−6y−4−y=17−6y−4−y=17−7y=21−7y=21y=−3
y=−3
Step 3: Solve for xx
x=−3(−3)−2x=−3(−3)−2x=9−2x=9−2x=7x=7
Final Answer:
x=7,y=−3x=7,y=−3
You said:
simple
ChatGPT said:
Here’s the simple way to solve it:
1. Given equations:
2x−y=172x−y=17
x+3y=−2x+3y=−2
2. Solve for xx in terms of yy from the second equation:
x=−3y−2x=−3y−2
3. Substitute into the first equation:
2(−3y−2)−y=172(−3y−2)−y=17
−6y−4−y=17−6y−4−y=17
−7y=21−7y=21
y=−3y=−3
4. Substitute y=−3y=−3 into x=−3y−2x=−3y−2:
x=−3(−3)−2=9−2=7x=−3(−3)−2=9−2=7
Final Answer:
x=7,y=−3x=7,y=−3 ✅
You said:
elemination method
ChatGPT said:
Let's solve the system of equations using the elimination method:
2x−y=172x−y=17x+3y=−2x+3y=−2
Step 1: Multiply the second equation to align coefficients
We want to eliminate xx. Multiply the second equation by 2 so that the coefficients
of xx match:
2(x+3y)=2(−2)2(x+3y)=2(−2)2x+6y=−42x+6y=−4
Now, our system becomes:
2x−y=172x−y=172x+6y=−42x+6y=−4
Step 2: Subtract the equations
(2x−y)−(2x+6y)=17−(−4)(2x−y)−(2x+6y)=17−
(−4)2x−y−2x−6y=17+42x−y−2x−6y=17+4−7y=21−7y=21y=−3y=−3
Step 3: Substitute y=−3y=−3 into one of the original equations
Using x+3y=−2x+3y=−2:
x+3(−3)=−2x+3(−3)=−2x−9=−2x−9=−2x=7x=7
Final Answer:
\mathbf{x = 7, \quad y = -3} \] ✅
You said:
give me simaltanious equaction to do
ChatGPT said:
Here’s a new system of simultaneous equations for you to solve:
3x+2y=123x+2y=125x−y=75x−y=7
Try solving it using the elimination method and let me know your answer! 😊
You said:
x=2 y=3
ChatGPT said:
Let's check your answer by substituting x=2x=2 and y=3y=3 into the given
equations:
1. First equation:
3(2)+2(3)=6+6=12✅ Correct3(2)+2(3)=6+6=12✅ Correct
2. Second equation:
5(2)−3=10−3=7✅ Correct5(2)−3=10−3=7✅ Correct
Your answer x=2,y=3x=2,y=3 is correct! 🎉 Well done! 💯
You said:
give exam question
ChatGPT said:
Here’s an exam-style simultaneous equations question for you:
Solve the following equations using the elimination method:
4x+3y=184x+3y=182x−y=42x−y=4
Find the values of xx and yy. 😊
You said:
\
ChatGPT said:
Let's solve the given simultaneous equations using the elimination method:
4x+3y=184x+3y=182x−y=42x−y=4
Step 1: Multiply to align coefficients
We want to eliminate yy. Multiply the second equation by 3 so that the coefficient
of yy matches the first equation:
3(2x−y)=3(4)3(2x−y)=3(4)6x−3y=126x−3y=12
Now, our system is:
4x+3y=184x+3y=186x−3y=126x−3y=12
Step 2: Add the equations
(4x+3y)+(6x−3y)=18+12(4x+3y)
+(6x−3y)=18+124x+6x=304x+6x=3010x=3010x=30x=3x=3
Step 3: Substitute x=3x=3 into one of the original equations
Using 2x−y=42x−y=4:
2(3)−y=42(3)−y=46−y=46−y=4y=2y=2
Final Answer:
x=3,y=2x=3,y=2
Try solving it yourself and check if you get the same answer! 😊
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