Ordering (Copy)
Section A: Short Questions (No Calculator)
Total Marks: 20
1. Insert the correct symbol (=, ≠, >, <, ⩾, ⩽) in each blank: (6 marks)
a) 7 ___ 12
b) -3 ___ -5
c) 4 + 2 ___ 9 – 3
d) 15 ___ 15
e) 8 ___ 10 – 2
f) 5² ___ 30
2. Order the following numbers from smallest to largest: (4 marks)
a) 3, -2, 0, 5, -4
b) 0.5, ⅔, 45%, 0.3
3. Write these statements using inequality symbols: (4 marks)
a) 9 is greater than 6
b) A number x is less than or equal to 12
c) y is greater than or equal to 4
d) 5 is not equal to 9
4. Which is greater? Circle your answer: (3 marks)
a) -7 or -2
b) ¾ or 0.7
c) 65% or ⅗
5. State True or False: (3 marks)
a) -1 > 0
b) 0.25 = ¼
c) 100 ⩾ 99
Section B: Structured Questions (Calculator Allowed)
Total Marks: 20
6. Convert the following to decimals, then arrange in ascending order: (4 marks)
0.6, ⅝, 70%, 0.55
7. Insert < or > to make each statement true: (4 marks)
a) 5⁴ ___ 1000
b) 0.45 ___ ½
c) 9² ___ 85
d) -10 ___ -12
8. A number y satisfies the condition:
5 ⩽ y < 9
List all possible integer values of y. (2 marks)
9. A temperature drops from 3°C to -2°C. Which temperature is colder? Use an inequality to show this. (2 marks)
10. Write a real-life example for each symbol: (8 marks)
a) >
b) <
c) ⩾
d) ⩽
Example format:
“My age is greater than 15” → Age > 15
Marking Scheme with Detailed Explanations
Section A
1.
a) 7 < 12 (1 mark)
b) -3 > -5 (1 mark)
c) 6 = 6 (1 mark)
d) 15 = 15 (1 mark)
e) 8 = 8 (1 mark)
f) 25 < 30 (1 mark)
2.
a) -4, -2, 0, 3, 5 (2 marks)
b) Convert:
0.5 = 0.5
⅔ ≈ 0.666
45% = 0.45
0.3 = 0.3
Order: 0.3, 45%, 0.5, ⅔ (2 marks)
3.
a) 9 > 6 (1 mark)
b) x ⩽ 12 (1 mark)
c) y ⩾ 4 (1 mark)
d) 5 ≠ 9 (1 mark)
4.
a) -2 (1 mark)
b) ¾ = 0.75, so ¾ is greater (1 mark)
c) 65% = 0.65, ⅗ = 0.6 → 65% (1 mark)
5.
a) False (1 mark)
b) True (1 mark)
c) True (1 mark)
Section B
6. Convert to decimals:
⅝ = 0.625, 70% = 0.70
Order: 0.55, 0.6, ⅝, 70% (4 marks)
7.
a) 625 < 1000 (1 mark)
b) 0.45 < 0.5 (1 mark)
c) 81 < 85 (1 mark)
d) -10 > -12 (1 mark)
8.
5 ⩽ y < 9 → 5, 6, 7, 8 (2 marks)
9.
-2°C < 3°C (2 marks)
10. Sample Answers: (2 marks each)
a) My brother is taller than me → Height > mine
b) The cost is less than $50 → Cost < 50
c) You must be at least 18 to vote → Age ⩾ 18
d) Speed limit is 60 km/h or less → Speed ⩽ 60