GANITA PRAKASH (II) CHAPTER 1 - ACHIEVEMENT TEST 1.1

MAHESHKUMAR SIR'S

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CHAPTER ACHIEVEMENT TEST 1.1
SET A
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
TIME ALLOWED: 1 HOUR
MAXIMUM MARKS: 30
General Instructions:
  • This Question Paper comprises five Sections A, B, C, D and E.[cite: 2]
  • Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
  • Section B: 3 Very Short Answer Questions carrying 2 marks each (6 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 6 marks (6 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
What is $\frac{17}{25}$ expressed as a percentage? 1M[cite: 2]
(A) 34%
(B) 51%
(C) 68%
(D) 85%
2.
What is 85% expressed as a fraction in its lowest terms? 1M[cite: 2]
(A) $\frac{17}{20}$
(B) $\frac{85}{100}$
(C) $\frac{15}{20}$
(D) $\frac{17}{25}$
3.
Calculate the exact value of 15% of 240. 1M[cite: 2]
(A) 24
(B) 30
(C) 36
(D) 42
4.
A car has covered 45 km, which is 30% of its total journey. What is the total distance of its journey? 1M[cite: 2]
(A) 120 km
(B) 135 km
(C) 150 km
(D) 180 km
5.
Which of the following decimals accurately represents 65%? 1M[cite: 2]
(A) 0.065
(B) 0.65
(C) 6.5
(D) 65.0
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Aarav has a collection of 40 balloons, out of which 24 are blue. What percentage of his balloons are blue? 2M[cite: 2]
7.
Insert '<', '>', or '=' to make the following mathematical statements true without performing detailed calculations:[cite: 2]
(i) 40% ______ $\frac{2}{5}$
(ii) 75% ______ $\frac{4}{5}$
2M
8.
If 10% of a certain number $N$ is 18, mentally calculate what 40% of the same number $N$ would be. Briefly write your reasoning. 2M[cite: 2]
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
9.
In a mango drink, the ratio of mango pulp to water is 2:3. What percentage of the entire drink is mango pulp? If you prepare 600 ml of this drink, exactly how many ml of mango pulp are used? 3M[cite: 2]
10.
Priya ate 150 g of a cake having 20% sugar content. Rahul ate 120 g of a different cake having 30% sugar content. Calculate the exact grams of sugar consumed by each individual and state clearly who consumed more sugar. 3M[cite: 2]
11.
A student needs to score 75% or above on an 80-mark test to get an A+ grade. Calculate the exact minimum marks required to achieve this grade, showing your steps clearly. 3M[cite: 2]
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
12.
A driver travels from Mumbai to Pune. He completes 45% of his journey, which covers exactly 81 km. Find the total distance of the journey between the two cities. Also, calculate the remaining distance he has to travel, and draw a rough proportional bar model to represent this situation. 4M[cite: 2]
SECTION E: CASE STUDY QUESTION (6 MARKS)
13.
School Excursion Modes of Transport:[cite: 2]
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) The rest of the students take either a bus or a car in the ratio 3:2. What percentage of these *remaining* students take the bus? 2M
(iii) Additionally, if exactly 25% of the total 800 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iv) Compare the number of students walking with the number of students using bicycles. Which group is larger, and by exactly how many students? 2M
END OF QUESTION PAPER - SET A

MAHESHKUMAR SIR'S

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CHAPTER ACHIEVEMENT TEST 1.1
SET B
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
TIME ALLOWED: 1 HOUR
MAXIMUM MARKS: 30
General Instructions:
  • This Question Paper comprises five Sections A, B, C, D and E.[cite: 2]
  • Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
  • Section B: 3 Very Short Answer Questions carrying 2 marks each (6 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 6 marks (6 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
What is $\frac{13}{20}$ expressed as a percentage? 1M[cite: 2]
(A) 35%
(B) 55%
(C) 65%
(D) 75%
2.
What is 45% expressed as a fraction in its lowest terms? 1M[cite: 2]
(A) $\frac{9}{20}$
(B) $\frac{45}{100}$
(C) $\frac{7}{20}$
(D) $\frac{9}{25}$
3.
Calculate the exact value of 25% of 180. 1M[cite: 2]
(A) 35
(B) 40
(C) 45
(D) 50
4.
A train has covered 64 km, which is 40% of its total journey. What is the total distance of its journey? 1M[cite: 2]
(A) 120 km
(B) 140 km
(C) 160 km
(D) 180 km
5.
Which of the following decimals accurately represents 85%? 1M[cite: 2]
(A) 0.085
(B) 0.85
(C) 8.5
(D) 85.0
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Meera has a collection of 50 stickers, out of which 35 are shiny. What percentage of her stickers are shiny? 2M[cite: 2]
7.
Insert '<', '>', or '=' to make the following mathematical statements true without performing detailed calculations:[cite: 2]
(i) 60% ______ $\frac{3}{5}$
(ii) 80% ______ $\frac{3}{4}$
2M
8.
If 10% of a certain number $N$ is 24, mentally calculate what 30% of the same number $N$ would be. Briefly write your reasoning. 2M[cite: 2]
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
9.
In an orange squash, the ratio of syrup to water is 1:4. What percentage of the entire squash is syrup? If you prepare 500 ml of this squash, exactly how many ml of syrup are used? 3M[cite: 2]
10.
Kabir ate 160 g of a pie having 15% sugar content. Zara ate 110 g of a different pie having 20% sugar content. Calculate the exact grams of sugar consumed by each individual and state clearly who consumed more sugar. 3M[cite: 2]
11.
A student needs to score 85% or above on a 60-mark test to get an A+ grade. Calculate the exact minimum marks required to achieve this grade, showing your steps clearly. 3M[cite: 2]
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
12.
A driver travels from Chennai to Vellore. He completes 35% of his journey, which covers exactly 49 km. Find the total distance of the journey between the two cities. Also, calculate the remaining distance he has to travel, and draw a rough proportional bar model to represent this situation. 4M[cite: 2]
SECTION E: CASE STUDY QUESTION (6 MARKS)
13.
School Excursion Modes of Transport:[cite: 2]
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) The rest of the students take either a bus or a car in the ratio 7:3. What percentage of these *remaining* students take the bus? 2M
(iii) Additionally, if exactly 30% of the total 600 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iv) Compare the number of students walking with the number of students using bicycles. Which group is larger, and by exactly how many students? 2M
END OF QUESTION PAPER - SET B

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CHAPTER ACHIEVEMENT TEST 1.1
SET C
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
TIME ALLOWED: 1 HOUR
MAXIMUM MARKS: 30
General Instructions:
  • This Question Paper comprises five Sections A, B, C, D and E.[cite: 2]
  • Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
  • Section B: 3 Very Short Answer Questions carrying 2 marks each (6 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 6 marks (6 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
What is $\frac{19}{25}$ expressed as a percentage? 1M[cite: 2]
(A) 66%
(B) 76%
(C) 86%
(D) 95%
2.
What is 35% expressed as a fraction in its lowest terms? 1M[cite: 2]
(A) $\frac{7}{20}$
(B) $\frac{35}{100}$
(C) $\frac{3}{10}$
(D) $\frac{7}{25}$
3.
Calculate the exact value of 20% of 350. 1M[cite: 2]
(A) 50
(B) 60
(C) 70
(D) 80
4.
A motorcycle has covered 45 km, which is 25% of its total journey. What is the total distance of its journey? 1M[cite: 2]
(A) 120 km
(B) 160 km
(C) 180 km
(D) 200 km
5.
Which of the following decimals accurately represents 95%? 1M[cite: 2]
(A) 0.095
(B) 0.95
(C) 9.5
(D) 95.0
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Rohan has a collection of 60 coins, out of which 27 are foreign currency. What percentage of his coins are foreign? 2M[cite: 2]
7.
Insert '<', '>', or '=' to make the following mathematical statements true without performing detailed calculations:[cite: 2]
(i) 80% ______ $\frac{4}{5}$
(ii) 60% ______ $\frac{2}{3}$
2M
8.
If 10% of a certain number $N$ is 32, mentally calculate what 20% of the same number $N$ would be. Briefly write your reasoning. 2M[cite: 2]
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
9.
In fresh lemonade, the ratio of lemon juice to water is 1:3. What percentage of the entire drink is lemon juice? If you prepare 800 ml of this drink, exactly how many ml of lemon juice are used? 3M[cite: 2]
10.
Sameer ate 140 g of a pudding having 25% sugar content. Riya ate 130 g of a different pudding having 30% sugar content. Calculate the exact grams of sugar consumed by each individual and state clearly who consumed more sugar. 3M[cite: 2]
11.
A student needs to score 70% or above on a 90-mark test to get an A+ grade. Calculate the exact minimum marks required to achieve this grade, showing your steps clearly. 3M[cite: 2]
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
12.
A driver travels from Jaipur to Ajmer. He completes 55% of his journey, which covers exactly 77 km. Find the total distance of the journey between the two cities. Also, calculate the remaining distance he has to travel, and draw a rough proportional bar model to represent this situation. 4M[cite: 2]
SECTION E: CASE STUDY QUESTION (6 MARKS)
13.
School Excursion Modes of Transport:[cite: 2]
A school is organizing a major educational excursion for its 1000 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 $\frac{1}{8}$ of the total students walk to the destination. What percentage of the total students is this? 1M
(ii) The rest of the students take either a bus or a car in the ratio 3:1. What percentage of these *remaining* students take the bus? 2M
(iii) Additionally, if exactly 20% of the total 1000 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iv) Compare the number of students walking with the number of students using bicycles. Which group is larger, and by exactly how many students? 2M
END OF QUESTION PAPER - SET C

MAHESHKUMAR SIR'S

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MIND SQUARE MATHS CLASSES

Simplifying Maths and Empowering Minds

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CHAPTER ACHIEVEMENT TEST 1.1
SET D
CLASS 8 - GANITA PRAKASH (II) - FRACTIONS IN DISGUISE
TIME ALLOWED: 1 HOUR
MAXIMUM MARKS: 30
General Instructions:
  • This Question Paper comprises five Sections A, B, C, D and E.[cite: 2]
  • Section A: 5 Multiple Choice Questions carrying 1 mark each (5 Marks).
  • Section B: 3 Very Short Answer Questions carrying 2 marks each (6 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 6 marks (6 Marks).
SECTION A: OBJECTIVE TYPE QUESTIONS (1 MARK EACH)
1.
What is $\frac{11}{20}$ expressed as a percentage? 1M[cite: 2]
(A) 35%
(B) 45%
(C) 55%
(D) 65%
2.
What is 65% expressed as a fraction in its lowest terms? 1M[cite: 2]
(A) $\frac{13}{20}$
(B) $\frac{11}{20}$
(C) $\frac{65}{100}$
(D) $\frac{7}{10}$
3.
Calculate the exact value of 30% of 210. 1M[cite: 2]
(A) 53
(B) 60
(C) 63
(D) 70
4.
A scooter has covered 91 km, which is 65% of its total journey. What is the total distance of its journey? 1M[cite: 2]
(A) 130 km
(B) 140 km
(C) 150 km
(D) 160 km
5.
Which of the following decimals accurately represents 45%? 1M[cite: 2]
(A) 0.045
(B) 0.45
(C) 4.5
(D) 45.0
SECTION B: VERY SHORT ANSWER TYPE QUESTIONS (2 MARKS EACH)
6.
Ananya has a collection of 80 books, out of which 56 are fiction. What percentage of her books are fiction? 2M[cite: 2]
7.
Insert '<', '>', or '=' to make the following mathematical statements true without performing detailed calculations:[cite: 2]
(i) 75% ______ $\frac{3}{4}$
(ii) 50% ______ $\frac{3}{5}$
2M
8.
If 10% of a certain number $N$ is 45, mentally calculate what 40% of the same number $N$ would be. Briefly write your reasoning. 2M[cite: 2]
SECTION C: SHORT ANSWER TYPE QUESTIONS (3 MARKS EACH)
9.
In a rose milk drink, the ratio of rose syrup to milk is 1:9. What percentage of the entire drink is rose syrup? If you prepare 1000 ml of this drink, exactly how many ml of rose syrup are used? 3M[cite: 2]
10.
Dev ate 200 g of yogurt having 12% sugar content. Tara ate 150 g of a different yogurt having 18% sugar content. Calculate the exact grams of sugar consumed by each individual and state clearly who consumed more sugar. 3M[cite: 2]
11.
A student needs to score 90% or above on a 50-mark test to get an A+ grade. Calculate the exact minimum marks required to achieve this grade, showing your steps clearly. 3M[cite: 2]
SECTION D: LONG ANSWER TYPE QUESTION (4 MARKS)
12.
A driver travels from Kochi to Munnar. He completes 65% of his journey, which covers exactly 91 km. Find the total distance of the journey between the two cities. Also, calculate the remaining distance he has to travel, and draw a rough proportional bar model to represent this situation. 4M[cite: 2]
SECTION E: CASE STUDY QUESTION (6 MARKS)
13.
School Excursion Modes of Transport:[cite: 2]
A school is organizing a major educational excursion for its 1200 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 $\frac{3}{10}$ of the total students walk to the destination. What percentage of the total students is this? 1M
(ii) The rest of the students take either a bus or a car in the ratio 4:1. What percentage of these *remaining* students take the bus? 2M
(iii) Additionally, if exactly 15% of the total 1200 students use bicycles instead of any motor vehicle, calculate the exact number of students using bicycles. 1M
(iv) Compare the number of students walking with the number of students using bicycles. Which group is larger, and by exactly how many students? 2M
END OF QUESTION PAPER - SET D
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