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17 questions · timed · auto-graded

Question 12 Marks
What is the name of each part of the plane formed by the two lines?
Answer
The name of each part of the plane that is formed by x-axis and y-axis is called as quadrant.

(+, +) = First Quadrant, (-, +) = Second Quadrant, (-, -) = Third Quadrant and (+, -) = Fourth Quadrant
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Question 22 Marks
How will you describe the position of a table lamp on your study table to another person?
Answer
First of all, I will explain that the study table is the first quadrant of the Cartesian plane, the edge nearer to $m e$ as the positive direction of the $x$-axis and the edge on my left is the positive direction of the $y$-axis. Now, I will measure the distance of the table lamp from the edge nearer to me. Suppose that distance is y cm . Now, I will measure the distance of the table lamp from the edge on my left. Suppose that distance is x cm . Now, I can describe the position of the table lamp that it is $y ~ c m$ away from the edge nearer to me and $x ~ c m$ away from the edge on my left. In this manner, I can describe the position of any object lying on the table with two independent informations.
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Question 32 Marks
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There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak, Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of XOY, X'OY, X'OY' and XOY'. Their balls stopped as shown in the above image.
questions:
1. What the line XOX' is called?
2. What the point O(0, 0) is called?
Answer
1. x-axis
2. origin
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Question 42 Marks
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There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak, Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of XOY, X'OY, X'OY' and XOY'. Their balls stopped as shown in the above image.
questions:
1. What are the coordinates of the ball of Ashok?
2. What are the coordinates of the ball of Deepa?
Answer
1. (3, 4)
2. (2, -3)
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Question 52 Marks
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In the above picture, one small square is of size 1km × 1km. From the starting point O(0, 0) Deepak started to drive towards his home. He first drives 3km in left then he turned to his left and drove 2km, there he found a temple. He worshipped there and drove 6km in the left direction, there is a zoo and from the zoo, he drives 2km on the right side, then he reached his home. From O Sanjay drove for his school, he drove 1km to his right then took a left turn and drives 2km then again took a right turn and drives 2km. He found a hospital in the way. From Hospital he drove 3km and finally reached his school.
questions:
1. What is the common ordinate of temple and Zoo?
2. Deepak Drove in which quadrants?
Answer
1. -2
2. III and IV
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Question 62 Marks
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In the above picture, one small square is of size 1km × 1km. From the starting point O(0, 0) Deepak started to drive towards his home. He first drives 3km in left then he turned to his left and drove 2km, there he found a temple. He worshipped there and drove 6km in the left direction, there is a zoo and from the zoo, he drives 2km on the right side, then he reached his home. From O Sanjay drove for his school, he drove 1km to his right then took a left turn and drives 2km then again took a right turn and drives 2km. He found a hospital in the way. From Hospital he drove 3km and finally reached his school.
questions:
1. What are the coordinates of the Hospital?
2. What is common abscissa of school, Hospital, Zoo and Deepak's home?
Answer
1. (3, 2)
2. 3
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Question 72 Marks
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Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot × 1 foot and the area of each tile is 1 foot2. He arranged the tile in such a way that colour of tiles in each row and column were in the pattern: Orange → Yellow → green → Blue → Orange → ..... and so on.
questions:
1. Which colour tile was fitted at the point with coordinate (2, 5)?
2. What is the area of the tiles fitted in the rectangular part OABX?
Answer
1. Yellow
2. 48 foot $^2$
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Question 82 Marks
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Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot × 1 foot and the area of each tile is 1 foot2. He arranged the tile in such a way that colour of tiles in each row and column were in the pattern: Orange → Yellow → green → Blue → Orange → ..... and so on.
questions:
1. Which colour tile was fitted at the point with coordinates (5, 3)?
2. Which colour tile was fitted at the point with coordinates (7, 7)?
Answer
1. Green
2. Orange
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Question 92 Marks
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Arun is participating in an 8 miles walk. The organizers used a square coordinate grid to plot the course. The starting point is at A (3, 1). At B (3, 4), there's a water station to make sure the walkers stay hydrated. From water station, the walkway turns right and at C (6,4) a garden is situated to keep walkers fresh. From the garden, the walkway turns left and finally, Arun reaches at destination D to complete 8 miles.
questions:
1. What is the abscissa of destination point D?
2. What is the ordinate of destination point D?
Answer
1. 6
2. 6
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Question 102 Marks
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Arun is participating in an 8 miles walk. The organizers used a square coordinate grid to plot the course. The starting point is at A (3, 1). At B (3, 4), there's a water station to make sure the walkers stay hydrated. From water station, the walkway turns right and at C (6,4) a garden is situated to keep walkers fresh. From the garden, the walkway turns left and finally, Arun reaches at destination D to complete 8 miles.
questions:
1. How far is the water station B from the starting point A?
2. How far is the water station B from garden C?
Answer
1. 3 miles
2. 3 miles
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Question 112 Marks
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Rohit was putting up one of his paintings in his living room. Before this Rohit had put a grid on the wall where each unit measured equal to a foot. The upper-left corner of the frame is at point C(1, 8) and the upper-right corner at D(7, 8). The bottom-left corner is at A(1, 2) and the bottom-right corner at B(7, 2). Please answer the following questions:
1. Which sides of the painting are parallel to x-axis?
2. Which sides of the painting are parallel to y-axis?
Answer
1. AB and CD
2. AC and BD
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Question 122 Marks
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Rohit was putting up one of his paintings in his living room. Before this Rohit had put a grid on the wall where each unit measured equal to a foot. The upper-left corner of the frame is at point C(1, 8) and the upper-right corner at D(7, 8). The bottom-left corner is at A(1, 2) and the bottom-right corner at B(7, 2).
questions:
1. What is the width of the painting plus frame?
2. What is the length of the painting plus frame?
Answer
1. 6 feet
2. 6 feet
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Question 132 Marks
A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin represents the ranger's control room’s location. To access and maintain equipment, Road x and Road yhave been laid and paved inside the forest. They pass through the control room. 
Image
One unit on the graph paper represents 1 km. 
1. Which of the following is true for the line with equation: 1.x+0.y-4=0?
2. What conditions ensure that the distance of the line from an axis is constant?
Answer
1. Writes four coordinates that are at equal distance from the control room and paved roads including decimal values
For example:
• (5, 5), (–5, 5), (–5, –5), (5, –5)
• (2.5, 2.5), (–2.5, 2.5), (–2.5, –2.5), (2.5, –2.5)
2. ( – 7, – 9)
2. y = x and x = y
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Question 142 Marks
A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin represents the ranger's control room’s location. To access and maintain equipment, Road x and Road yhave been laid and paved inside the forest. They pass through the control room. 
Image
One unit on the graph paper represents 1 km. 
1. Ravi planted a red maple tree sapling. The height of the sapling is 0.25 m. The average growth rate of the height of a red maple tree is 0.27 m per year.
The average life of a red maple tree is 80–100 years. Ravi estimated that his tree will grow up to 27 m.
What is the likely reason behind his estimation?
2. Which of the following equations represents the height (h) of the red maple tree after ‘t’ years of planting?
Answer
1. Writes coordinates which are at a distance of 1 km from either of the jeeps including decimal values
• (2, –9)
• (3, –10)
2. ( – 7, – 9)
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Question 152 Marks
A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin represents the ranger's control room’s location. To access and maintain equipment, Road x and Road yhave been laid and paved inside the forest. They pass through the control room. 
Image
One unit on the graph paper represents 1 km. 
1. In the forest, rain shelters are at an interval of 2 km along paved roads. A forest ranger is travelling on Road x. He crosses a rain shelter located at (3, 0).
What is likely to be the location of the next shelter?
2. The control room receives a message about trespassers located at (–9, –8). The trespassers were seen moving towards Road x on foot. The ranger immediately dispatches a team of guards in a jeep towards them. The guards encounter the trespassers before crossing Road x.
Which of the following is most likely to be the location of the encounter?
Answer
1. Gives a point which is at a distance of 2 units from (3, 0)
• (5, 0)
• (1, 0)
2. (– 9, – 5)
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Question 162 Marks
A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin represents the ranger's control room’s location. To access and maintain equipment, Road x and Road yhave been laid and paved inside the forest. They pass through the control room. 
Image
One unit on the graph paper represents 1 km. 
1. How far is Bear 425 from Road x?
2. A tiger is at (11, 4). How far from it is the nearest bear?
Answer
1. Writes 13 km OR 13
2. 2 km
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Question 172 Marks
A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin represents the ranger's control room’s location. To access and maintain equipment, Road x and Road yhave been laid and paved inside the forest. They pass through the control room. 
Image
One unit on the graph paper represents 1 km. 
1. Which bear is nearest to a paved road?
2. Bear 467 has been injured. The forest rescue team starts from the control room and decides to use the paved road as much as possible. Which road should they take?
Answer
1.Bear 415
2. Writes Road y OR y
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2 Marks Questions - Maths STD 9 Questions - Vidyadip