Podcast
Questions and Answers
If the highest common factor of 408 and 1032 is expressible in the form 1032p - 408 x 5, find 'p'.
If the highest common factor of 408 and 1032 is expressible in the form 1032p - 408 x 5, find 'p'.
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If the highest common factor of 6 and 'a' is 2 and the lowest common multiple of 6 and 'a' is 60, then find 'a'.
If the highest common factor of 6 and 'a' is 2 and the lowest common multiple of 6 and 'a' is 60, then find 'a'.
20
The floor of a room is to be filled with square marble tiles of the largest possible size. The size of the room is 10 meters by 7 meters. What should be the size of tiles required that has to be cut and how many such tiles are required?
The floor of a room is to be filled with square marble tiles of the largest possible size. The size of the room is 10 meters by 7 meters. What should be the size of tiles required that has to be cut and how many such tiles are required?
The size of the tiles should be 1 meter by 1 meter, and 70 tiles are required.
Prove that the square root of 5 is irrational and hence show that 3 + the square root of 5 is also irrational.
Prove that the square root of 5 is irrational and hence show that 3 + the square root of 5 is also irrational.
Dudhnath has two vessels containing 720 milliliters and 405 milliliters of milk respectively. Milk from these containers is poured into glasses of equal capacity to their brim. Find the minimum number of glasses that can be filled.
Dudhnath has two vessels containing 720 milliliters and 405 milliliters of milk respectively. Milk from these containers is poured into glasses of equal capacity to their brim. Find the minimum number of glasses that can be filled.
The graph of y = p(x) is shown in the figure below. How many zeroes does p(x) have?
The graph of y = p(x) is shown in the figure below. How many zeroes does p(x) have?
Flashcards
HCF of 408 and 1032
HCF of 408 and 1032
The Highest Common Factor (HCF) of two numbers is the largest positive integer that divides both numbers without a remainder.
HCF(6, a) = 2, LCM(6, a) = 60, find 'a'
HCF(6, a) = 2, LCM(6, a) = 60, find 'a'
Given the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of two numbers, find the unknown number 'a'.
Largest possible square marble tiles
Largest possible square marble tiles
Find the largest square tile that can be used to completely cover a rectangular room of given dimensions without cutting the tiles.
Prove √5 is irrational
Prove √5 is irrational
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Irrational number 3 + √5
Irrational number 3 + √5
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Minimum glasses for milk
Minimum glasses for milk
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Number of zeroes of a function (p(x))
Number of zeroes of a function (p(x))
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Room dimensions
Room dimensions
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GCD
GCD
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LCM
LCM
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Study Notes
DPP #2 - Problems
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#LP 1: Find 'p' if the Highest Common Factor (HCF) of 408 and 1032 can be expressed as 1032p - 408 × 5.
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#LP 2: Find 'a' if the HCF of 6 and 'a' is 2, and their Lowest Common Multiple (LCM) is 60.
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#LP 3: A room is 10 m by 7 m. Square marble tiles of the largest possible size are to be used to cover the floor. Determine the tile size and the total number of tiles needed.
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#LP 4: Prove that √5 is irrational. Then prove that 3 + √5 is also irrational.
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#LP 5: Dudhnath has two vessels, one containing 720 ml and the other containing 405 ml of milk. Find the minimum number of glasses (of equal capacity) needed to completely fill the glasses from both vessels to the brim.
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#LP 6: The graph of y = p(x) is shown. Determine how many zeros (x-intercepts) the function p(x) has.
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Description
This quiz covers a variety of mathematical problems including finding the Highest Common Factor (HCF), Lowest Common Multiple (LCM), and determining properties of irrational numbers. It also involves practical applications such as tiling a floor and filling glasses with milk from vessels. Test your problem-solving skills and mathematical reasoning.
