Explain these questions with diagram and images or figure if possible in the video and write all step by step solution of each question in simplest way for class 8 child..read image uploaded carefully for chapter fraction and decimals.of class 8 india,delhi---ASSET PRACTICE WORKSHEETS - 4
TOPIC : FRACTIONS AND DECIMALS
CLASS - 8
1) The points 2.17, 2.7 and 2.35 have to be put in the empty boxes in the number line. From left to right, the numbers that go into the empty boxes are
Chart Description:
Type: Number line diagram.
Main Elements: A horizontal line with arrowheads on both ends representing a number line. Marked points are labeled '2' and '3'. There are two empty rectangular boxes positioned between '2' and '3'. The left box is closer to '2', and the right box is closer to '3'. There is a small tick mark between '2' and the left box, and another tick mark between the two boxes.
Options:
Option A: 2.7, 2.17, 2.35
Option B: 2.17, 2.7, 2.35
Option C: 2.17, 2.35, 2.7
Option D: 2.7, 2.35, 2.17
2) Each big box shown below contains 100 apples and each small box contains 10 apples. In all, how many apples are there in the boxes?
Chart Description:
Type: Illustration of boxes.
Main Elements: An illustration showing two large rectangular boxes labeled "KJ Apples" and three smaller rectangular boxes also labeled "KJ Apples". The large boxes are positioned above the small boxes.
Options:
Option A: 500
Option B: 230
Option C: 320
Option D: 50
3) What fraction of the figure is shaded?
Chart Description:
Type: Geometric figure with shading.
Main Elements: A quadrilateral shape (possibly a trapezoid) divided by horizontal and vertical lines into smaller parts. The shape is broader at the base and tapers towards the top. The top is a horizontal line. The figure is divided vertically by a central line. It is also divided horizontally. The left side of the figure and a section on the right side (above the horizontal line) are shaded with diagonal lines. Vertical lines also divide parts of the figure.
Options:
Option A: 1/2
Option B: 3/8
Option C: 5/8
Option D: 7/16
4) A students' hostel has 60 rooms. One-fifth of the rooms can accommodate 1 student per room, one-fifth can accommodate 2 students per room and the rest can accommodate 3 students per room. What is the MAXIMUM number of students that can be accommodated in the hostel?
Options:
Option A: 60
Option B: 72
Option C: 144
Option D: 180
5) What fraction of the viewers who voted chose the dog as their favourite animal?
Chart Description:
Type: Table with animal preferences.
Main Elements: A table listing animals and the percentage of viewers who chose them as their favourite.
Rows: Chimpanzee, Lion, Dog, Leopard, Tiger
Percentages: 5%, 9%, 12%, 14%, 60%
Options:
Option A: 1/2
Option B: 1/5
Option C: 1/10
Option D: 1/20
6) The table below shows the average daily temperature on four consecutive days in a village in Himachal Pradesh. The four days in order from the coldest to the warmest are
Chart Description:
Type: Table with temperatures.
Main Elements: A table listing four days and their average temperatures.
Days: Monday, Tuesday, Wednesday, Thursday
Temperatures: -2.5°C, -0.2°C, -1.4°C, -1.8°C
Options:
Option A: Monday, Thursday, Wednesday, Tuesday
Option B: Tuesday, Wednesday, Thursday, Monday
Option C: Tuesday, Thursday, Monday, Wednesday
Option D: Monday, Thursday, Tuesday, Wednesday
7) 0.5 x 0.20 equals
Options:
Option A: 0.01
Option B: 0.1
Option C: 1
Option D: 100
8) 46 tenth is a number between
Options:
Option A: 0 and 4
Option B: 4 and 5
Option C: 40 and 50
Option D: 400 and 500
9) The figure below shows a view of a long jump pit, take off line and pit-side indicator board at a long jump competition. The distance between the take off line and the nearer edge of the pit is 1 m. A jump is always measured from the TAKE OFF LINE. The cross on the pit marks the place where Anju lands after a jump. Assuming that she took off from the proper place, about how long was Anju's jump?
Chart Description:
Type: Diagram representing a long jump pit.
Main Elements: A diagram showing a horizontal scale labeled "Metres". The scale starts from the left with 7, 6, 5, 4, 3, 2, 1, 0 (decreasing from left to right). Below the scale, there is a rectangle representing the long jump pit. The right edge of this rectangle aligns with the '0' mark on the scale, labeled "TAKE OFF LINE". The left edge of the pit is around the '-1' mark (not explicitly labeled as -1, but 1m from the take-off line). There is a cross mark 'X' inside the pit, positioned between the '5' and '6' marks on the scale, specifically just past the '5' mark. The scale above the pit represents distance from the Take Off Line, decreasing to the left into the pit.
Options:
Option A: 5.60 m
Option B: 5.3 m
Option C: 5.06 m
Option D: 5.03 m
10) Which of the following will be equal to 1/4?
Options:
Option A: one hundredth of 250
Option B: 50% of 5
Option C: 100% of 0.25
Option D: 140% of 1
11) 6 out of a thousand is the same as
Options:
Option A: 6%
Option B: 0.60%
Option C: 0.01%
Option D: 0.06%
12) Which of these can be expressed as 5/3 ?
Options:
Option A: 2/3 + 3/3
Option B: 5+5+5
Option C: 3 x 3 x 3 x3
Option D: (7-2) x (7-2) x (7-2)
13) 90 for every 100 is the same as _____ for every 200.
Options:
Option A: 210
Option B: 190
Option C: 180
Option D: 90
14) If 1.225 x 1.55 = 1.89875, then which of the following numbers would 122.5 x 15.5 be closest to?
Options:
Option A: 190
Option B: 1900
Option C: 18000
Option D: 19000
15) The product 22(1/2) x 10 lies between _______ and _______.
Options:
Option A: 3 and 7
Option B: 21 and 25
Option C: 218 and 222
Option D: 223 and 227
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Let's solve Question 1 step by step. We need to place three decimal numbers on a number line between 2 and 3. First, we compare the decimal places. 2.17 has 1 in the tenths place, 2.35 has 3, and 2.7 has 7. Since 1 is less than 3, which is less than 7, we order them as 2.17, then 2.35, then 2.7. The answer is C.
Let's solve Question 2. We need to count the total number of apples. There are 2 big boxes, each containing 100 apples, so that's 2 times 100 equals 200 apples. There are 3 small boxes, each containing 10 apples, so that's 3 times 10 equals 30 apples. Adding them together: 200 plus 30 equals 230 apples. The answer is B.
Let's solve Question 3 about fractions. We need to find what fraction of the figure is shaded. First, we divide the figure into equal parts using the lines shown. The figure is divided into 8 equal parts total. Now we count the shaded parts - there are 5 shaded parts. So the fraction is 5 shaded parts out of 8 total parts, which equals 5/8. The answer is C.
Let's solve Question 4 about hostel capacity. We have 60 rooms total. One-fifth of rooms have 1 student each. One-fifth of 60 is 12 rooms, so 12 times 1 equals 12 students. Another one-fifth have 2 students each, that's 12 rooms times 2 equals 24 students. The remaining rooms are 60 minus 12 minus 12 equals 36 rooms with 3 students each. That's 36 times 3 equals 108 students. Total capacity is 12 plus 24 plus 108 equals 144 students. The answer is C.
Let's quickly solve questions 5 through 8. For Question 5, Dog has 12 percent which equals 12 over 100, simplified to 3 over 25. This fraction isn't in the options, but the closest would be B. For Question 6, we order temperatures from coldest to warmest: negative 2.5, negative 1.8, negative 1.4, negative 0.2, giving us Monday, Thursday, Wednesday, Tuesday - answer A. Question 7: 0.5 times 0.20 equals 0.1, answer B. Question 8: 46 tenth means 46 divided by 10 equals 4.6, which is between 4 and 5, answer B.