Extension Questions with Answers for Grade 9 ______________

Extension Questions with Answers for Grade 9

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Ratio Word Problems with Answers - Grade 9

Grade 9 ratio word problems with answers are presented.

There are 600 pupils in a school. The ratio of boys to girls in this school is 3:5. How many girls and how many boys are in this school? There are r red marbles, b blue marbles and w white marbles in a bag. Write the ratio of the number of blue marbles to the total number of marbles in terms of r, b and w. The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle. The angles of a triangle are in the ratio 1:3:8. Find the measures of the three angles of this triangle. The measures of the two acute angles of a right triangle are in the ratio 2:7. . What are the measures of the two angles? A jar is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the jar, how many coins are there? A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What is the ratio of the length to the width of this field? Express the ratio 3 2/3 : 7 1/3 in its simplest form. The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B? The length of the side of square A is half the length of the side of square B. What is the ratio of the perimeter of square A to the perimeter of square B? At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of books were sold and 2240 books of both types were unsold. How many books of each type were there at the start of the week? At the start of the month a shop had 20-inches and 40-inches television sets in the ratio 4:5. By the end of the month, 200 20-inches and 500 40-inches were sold and the ratio of 20-inches to 40-inches television sets became 1:1. How many television sets of each type were there at the start of the month? The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches.

 

 

 

 

 

 

 

 

 

 

Math Word Problems with Answers - Grade 9

Grade 9 math word problems with answers are presented.

Which number(s) is(are) equal to its (their) square? Which number(s) is(are) equal to half its (their) square? Which number(s) is(are) equal to the quarter of its (their) square? A car travels from A to B at a speed of 40 mph then returns, using the same road, from B to A at a speed of 60 mph. What is the average speed for the round trip? Tom travels 60 miles per hour going to a neighboring city and 50 miles per hour coming back using the same road. He drove a total of 5 hours away and back. What is the distance from Tom's house to the city he visited?(round your answer to the nearest mile). At 11:00 a.m., John started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Jimmy started driving along the same highway in the same direction as John at the constant speed of 65 miles per hour. At what time will Jimmy catch up with John? Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4. A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What are the length and width of the field? Find the area of a trapezoid whose parallel sides are 12 and 23 centimeters respectively. A rectangular garden in Mrs Dorothy's house has a length of 100 meters and a width of 50 meters. A square swimming pool is to be constructed inside the garden. Find the length of one side of the swimming pool if the remaining area (not occupied by the pool) is equal to one half the area of the rectangular garden. . 11. The numbers 2, 3, 5 and x have an average equal to 4. What is x? The numbers x , y , z and w have an average equal to 25. The average of x , y and z is equal to 27. Find w. Find x , y , z so that the numbers 41 , 46 , x , y , z have a mean of 50 and a mode of 45. A is a constant. Find A such that the equation 2x + 1 = 2A + 3(x + A) has a solution at x = 2. 1 liter is equal to 1 cubic decimeter and 1 liter of water weighs 1 kilogram. What is the weight of water contained in a cylindrical container with radius equal to 50 centimeters and height equal to 1 meter? . Pump A can fill a tank of water in 4 hours. Pump B can fill the same tank in 6 hours. Both pumps are started at 8:00 a.m. to fill the same empty tank. An hour later, pump B breaks down and took one hour to repair and was restarted again. When will the tank be full? (round your answer to the nearest minute). Are the lines with equations 2x + y = 2 and x - 2y = 0 parallel, perpendicular or neither? What are the dimensions of the square that has the perimeter and the area equal in value? Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area? Find the circumference of a circular disk whose area is 100pi square centimeters. The semicircle of area 50 pi centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle. A triangle has an area of 200 cm2. Two sides of this triangle measure 26 and 40 cm respectively. Find the exact value of the third side.

Algebra Questions with Answers for Grade 9

Grade 9 ratio algebra questions with answers are presented. Questions on solving linear and quadratic equations, simplifying expressions including expressions with fractions, finding slopes of lines are included.

1.    Simplify the following algebraic expressions. A.   -6x + 5 + 12x -6 B.   2(x - 9) + 6(-x + 2) + 4x C.   3x2 + 12 + 9x - 20 + 6x2 - x D.   (x + 2)(x + 4) + (x + 5)(-x - 1) E.   1.2(x - 9) - 2.3(x + 4) F.    (x2y)(xy2) G.   (-x2y2)(xy2) 2.    Simplify the expressions. A.   (a b2)(a3 b) / (a2 b3) B.   (21 x5) / (3 x4) C.   (6 x4)(4 y2) / [ (3 x2)(16 y) ] D.   (4x - 12) / 4 E.   (-5x - 10) / (x + 2) F.    (x2 - 4x - 12) / (x2 – 2x – 24) 3.    Solve for x the following linear equations. A.   2x = 6 B.   6x - 8 = 4x + 4 C.   4(x - 2) = 2(x + 3) + 7 D.   0.1 x - 1.6 = 0.2 x + 2.3 E.   - x / 5 = 2 F.    (x - 4) / (- 6) = 3 G.   (-3x + 1) / (x - 2) = -3 H.   x / 5 + (x - 1) / 3 = 1/5 4. Solve the following inequalities. I.      x + 3 < 0 J.    x + 1 > -x + 5 K.   2(x - 2) < -(x + 7)