MAHESHKUMAR SIR'S
m²
MIND SQUARE MATHS CLASSES
Simplifying Maths and Empowering Minds
maheshkumarsir.in | +91 7498180085CHAPTER ACHIEVEMENT TEST 8.2
SET A
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
General Instructions:
- This Question Paper comprises five Sections A, B, C, D and E.
- Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
- Section B: 4 Very Short Answer Questions carrying 2 marks each (8 Marks).
- Section C: 3 Short Answer Questions carrying 3 marks each (9 Marks).
- Section D: 1 Long Answer Question carrying 4 marks (4 Marks).
- Section E: 1 Case Study Question carrying 4 marks (4 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
How is 250% expressed as a fraction in its simplest form? 1M
2.
What is exactly 1% of 1 hour, expressed in seconds? 1M
3.
If 40 is 80% of a certain number, what is the number? 1M
4.
A shopkeeper has a daily sales target of ₹5000. If he makes ₹6000 in sales, what percentage of his target did he achieve? 1M
5.
Which of the following comparisons is mathematically true? 1M
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
A retailer aims to achieve daily sales of ₹5000. On a particular day, he achieved 150% of his target. Calculate the exact sales amount made on that day. 2M
7.
Convert 28.9% into both a decimal and a fraction in its simplest form. 2M
8.
Fill in the blank using proportional reasoning: If 30% of $k$ is 70, then 60% of $k$ is ______. Briefly explain your mental calculation. 2M
9.
A bakery uses a recipe for halwa where Rava makes up 40% of the total weight. If they make 2.5 kg of halwa, exactly how much Rava in kg is used? 2M
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
10.
A cyclist travelling from Delhi to Agra completes 40% of the journey. If he has covered 92 km so far, find the total distance from Delhi to Agra and calculate the remaining distance. 3M
11.
A badminton coach plans a 90-minute training session such that the ratio of warm-up : play : cool-down is 10% : 80% : 10%. Calculate exactly how many minutes should be dedicated to each activity. 3M
12.
A farmer harvested 260 kg of wheat last year. This year, they harvested 650 kg. What percentage of last year's harvest is this year's harvest? 3M
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
13.
Mariam's farm has a peculiar bull. The table below tracks the fodder given and eaten:
- Day 1: Given 2 units, ate 1 unit.
- Day 2: Given 3 units, ate 2 units.
- Day 3: Given 4 units, ate 3 units.
- ...and so on...
- Day 99: Given 100 units, ate 99 units.
SECTION E: CASE STUDY QUESTION (4 MARKS)
14.
School Excursion Modes of Transport:
A school is organizing a major educational excursion for its 800 students. The students choose different modes of transport based on their location. You are tasked with analyzing the transport data provided by the administration.
(i) It is observed that $\frac{1}{5}$ of the total students walk to the destination. What percentage of the total students is this? 1M
(ii) If exactly 25% of the total 800 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iii) The remaining students take either a bus or a car in the ratio 3:2. Calculate the exact number of students who take the bus. 2M
MAHESHKUMAR SIR'S
m²
MIND SQUARE MATHS CLASSES
Simplifying Maths and Empowering Minds
maheshkumarsir.in | +91 7498180085CHAPTER ACHIEVEMENT TEST 8.2
SET B
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
General Instructions:
- This Question Paper comprises five Sections A, B, C, D and E.
- Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
- Section B: 4 Very Short Answer Questions carrying 2 marks each (8 Marks).
- Section C: 3 Short Answer Questions carrying 3 marks each (9 Marks).
- Section D: 1 Long Answer Question carrying 4 marks (4 Marks).
- Section E: 1 Case Study Question carrying 4 marks (4 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
How is 15% expressed as a fraction in its lowest terms? 1M
2.
Calculate the exact value of 25% of 160. 1M
3.
3 is what percentage of 300? 1M
4.
A garment shop aims to achieve daily sales of ₹5000. On a festival day, sales reached ₹9550. What percentage of the target was achieved? 1M
5.
Which of the following statements is mathematically true? 1M
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
A retail store owner has a daily sales target of ₹5000. During a clearance sale, she achieved 210% of her target. Calculate her exact sales amount for that day. 2M
7.
Convert 173% into both a decimal and a fraction. 2M
8.
Fill in the blank using proportional reasoning: If 100% of $m$ is 215, then 10% of $m$ is ______. Briefly explain your mental calculation. 2M
9.
A recipe for a dish uses Sugar: 40%, and Ghee: 20%. If a chef uses exactly 600g of sugar, how many grams of ghee must be used to maintain the proportions? 2M
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
10.
A truck driver travelling across the state completes 60% of his journey, which measures 138 km. Calculate the total length of the entire journey and find out how many kilometres are left to travel. 3M
11.
A gym instructor designs a 45-minute exercise routine with the ratio of warm-up : cardio : stretching being 20% : 60% : 20%. Calculate exactly how many minutes are assigned to each segment of the routine. 3M
12.
A fruit orchard yielded 320 kg of apples last year. Due to better farming techniques, this year's yield is 800 kg. Express this year's yield as a percentage of last year's yield. 3M
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
13.
Surya mixes red paint and yellow paint to create a deep orange colour. He notes that red paint makes up $\frac{3}{4}$ of this mixture. If Surya prepares exactly 60 ml of this deep orange paint:
(i) How many millilitres of red paint did he use?
(ii) What percentage of the colour is made with red paint?
(iii) What percentage of the colour is made with yellow paint?
(iv) Draw a rough bar model diagram representing the mixture. 4M
(i) How many millilitres of red paint did he use?
(ii) What percentage of the colour is made with red paint?
(iii) What percentage of the colour is made with yellow paint?
(iv) Draw a rough bar model diagram representing the mixture. 4M
SECTION E: CASE STUDY QUESTION (4 MARKS)
14.
School Excursion Modes of Transport:
A school is organizing a major educational excursion for its 600 students. The students choose different modes of transport based on their location. You are tasked with analyzing the transport data provided by the administration.
(i) It is observed that $\frac{1}{4}$ of the total students walk to the destination. What percentage of the total students is this? 1M
(ii) If exactly 30% of the total 600 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iii) The remaining students take either a bus or a car in the ratio 7:3. Calculate the exact number of students who take the bus. 2M
MAHESHKUMAR SIR'S
m²
MIND SQUARE MATHS CLASSES
Simplifying Maths and Empowering Minds
maheshkumarsir.in | +91 7498180085CHAPTER ACHIEVEMENT TEST 8.2
SET C
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
General Instructions:
- This Question Paper comprises five Sections A, B, C, D and E.
- Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
- Section B: 4 Very Short Answer Questions carrying 2 marks each (8 Marks).
- Section C: 3 Short Answer Questions carrying 3 marks each (9 Marks).
- Section D: 1 Long Answer Question carrying 4 marks (4 Marks).
- Section E: 1 Case Study Question carrying 4 marks (4 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
How is 358% expressed as a decimal? 1M
2.
Calculate the exact value of 16% of 250. 1M
3.
If 120% of a certain quantity is 60, what is the original quantity? 1M
4.
A salesperson has a target of ₹5000. If they sell goods worth ₹2000, what percentage of their target did they achieve? 1M
5.
Which of the following statements comparing percentages is true? 1M
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Is 10% of a standard 24-hour day a longer duration than 1% of a standard 7-day week? Verify with a quick calculation. 2M
7.
Convert 90% into both a decimal and a fraction in its simplest form. 2M
8.
Fill in the blank using proportional reasoning: If 90% of $n$ is 270, then 9% of $n$ is ______. Briefly explain your mental math approach. 2M
9.
A painter mixes red and yellow paint. If yellow paint makes up 25% of the 80 ml mixture, express the amount of red paint as a fraction of the total mixture in its simplest form. 2M
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
10.
A passenger train traveling between two cities completes 40% of its journey, which equals 230 km. Find the total distance of the journey and determine how many kilometres are left. 3M
11.
A student structures a 120-minute study block assigning breaks, math practice, and science reading in the ratio of 15% : 60% : 25%. Calculate exactly how many minutes are spent on each activity. 3M
12.
A factory manufactured 400 electronic units last month. Due to new machinery, production this month skyrocketed to 1400 units. Express this month's production as a percentage of last month's production. 3M
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
13.
A small boutique sets a daily revenue target of ₹4000. Below is their sales record for the first three days of the week:
- Day 1: ₹1000
- Day 2: ₹5000
- Day 3: ₹8000
SECTION E: CASE STUDY QUESTION (4 MARKS)
14.
Reading Assignment Pacing:
For a literature project, a student must read a thick novel. Tracking his reading habit, he notices that it took him exactly 6 days to read 30% of the total pages in the novel.
(i) Express the portion of the book read (30%) as a fraction in its simplest form. 1M
(ii) Assuming he reads at a constant daily pace, how many days does it take him to read 10% of the novel? 1M
(iii) If he continues at this exact same pace, how many total days will he need to finish reading the entire 100% of the novel? 2M
MAHESHKUMAR SIR'S
m²
MIND SQUARE MATHS CLASSES
Simplifying Maths and Empowering Minds
maheshkumarsir.in | +91 7498180085CHAPTER ACHIEVEMENT TEST 8.2
SET D
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
General Instructions:
- This Question Paper comprises five Sections A, B, C, D and E.
- Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
- Section B: 4 Very Short Answer Questions carrying 2 marks each (8 Marks).
- Section C: 3 Short Answer Questions carrying 3 marks each (9 Marks).
- Section D: 1 Long Answer Question carrying 4 marks (4 Marks).
- Section E: 1 Case Study Question carrying 4 marks (4 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
How is 110% expressed as a fraction in its simplest form? 1M
2.
Calculate the exact value of 140% of 40. 1M
3.
What is 7% of 10 kg, expressed in grams? 1M
4.
A merchant's daily sales target is ₹5000. If they record sales of ₹7800 on a busy day, what percentage of the target is achieved? 1M
5.
Which of the following comparisons between quantities is true? 1M
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Fill in the blank to complete the statement: ______ is exactly 40% of 4. Show your brief calculation. 2M
7.
Convert 305% into both a decimal and a fraction in its simplest form. 2M
8.
Fill in the blank using proportional reasoning: If 100% of $n$ is 270, then 18% of $n$ is ______. Briefly explain your mental math approach. 2M
9.
A badminton coach has a 60-minute training session. He allots 20% of the time for warm-up. How many minutes are left for the remaining activities? 2M
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
10.
An airplane flying internationally completes 80% of its flight path, covering 1600 km. Calculate the total flight distance and determine the remaining distance left to reach the destination. 3M
11.
A nutritionist designs a 600-gram meal comprising carbohydrates, protein, and fat in the ratio 50% : 30% : 20%. Calculate exactly how many grams are assigned to each of the three macronutrients. 3M
12.
A creeping plant measured 15 cm last week. After a period of heavy rain, its height this week reached 45 cm. Express the plant's height this week as a percentage of its height last week. 3M
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
13.
Investigate the relationship between "x% of y" and "y% of x" by solving the following two specific examples:
(a) Calculate exactly what 5% of 40 is, and then calculate what 40% of 5 is.
(b) Calculate exactly what 25% of 12 is, and then calculate what 12% of 25 is.
Based on your answers, write a general statement regarding this relationship, and provide a brief algebraic justification for why this works. 4M
(a) Calculate exactly what 5% of 40 is, and then calculate what 40% of 5 is.
(b) Calculate exactly what 25% of 12 is, and then calculate what 12% of 25 is.
Based on your answers, write a general statement regarding this relationship, and provide a brief algebraic justification for why this works. 4M
SECTION E: CASE STUDY QUESTION (4 MARKS)
14.
Battery Charging Diagnostics:
A technician is testing the charging speed of a new mobile phone battery. The phone is plugged in from a completely dead state (0%). The technician notes that it takes exactly 15 minutes to charge the battery to 25% capacity.
(i) What percentage of the battery remains uncharged at this point? 1M
(ii) Assuming the charging speed remains perfectly constant, how many minutes does it take to charge 5% of the battery? 1M
(iii) If the constant speed is maintained, how many total minutes are required to fully charge the battery to 100%? 2M
