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Questions and Answers
If the difference of the two smaller angles of a right triangle is 20°, what are the measures of the angles?
If the sum of the digits of a two-digit number is 11, what is the number if the number got by interchanging the digits is 27 more than the original number?
47
When a larger number is divided by a smaller number, the quotient and remainder are always 2.
False
The price of 17 trophies and 16 medals is 2180 rupees. The price of 16 trophies and 17 medals is 2110 rupees. The price of each trophy is __ rupees and the price of each medal is __ rupees.
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Match the following equations with the correct values of u and a:
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If a two-digit number is equal to 6 times the sum of its digits, what is the number?
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If 11 added to a number gives twice another number, and 20 added to the second number gives twice the first number, then the numbers are integers.
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Study Notes
Right Triangle Angles
- The difference between the two smaller angles of a right triangle is 20°, and we need to find all three angles.
Number Division
- A larger number divided by a smaller number results in a quotient and remainder of 2.
- When 5 times the smaller number is divided by the larger number, the quotient and remainder are again both 2.
Two-Digit Number
- The sum of the digits of a two-digit number is 11.
- Interchanging the digits of the number results in a value 27 more than the original number.
Trophy and Medal Prices
- The price of 17 trophies and 16 medals is 2180 rupees.
- The price of 16 trophies and 17 medals is 2110 rupees.
- We need to find the price of each trophy and medal.
Object Travel
- An object travels along a straight line with an initial speed of u m/s.
- The speed increases at a rate of a m/s every second.
- The distance travelled in 1 second is ut + ar².
- The distance travelled in 2 seconds is 10 metres.
- The distance travelled in 4 seconds is 28 metres.
- We need to find the initial speed u and the rate of speed increase a.
Two-Digit Number and Digit Sum
- A two-digit number is equal to 6 times the sum of its digits.
- The number formed by interchanging the digits is 9 more than 4 times the sum of the digits.
Number Relations
- 11 added to a number gives twice another number.
- 20 added to the second number gives twice the first number.
- We need to find the two numbers.
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Description
Solve these challenging math problems, including right triangle angles, division, two-digit numbers, and price calculations. Test your math skills!
