Right Triangles
Triangles
Exponentials
Logarithms
Miscellaneous
100
The sides of a right triangle adjacent to the right angle are 5 and 12 inches long. Find the length of the hypotenuse.
What is 13 inches?
100
The angle at the top of an isosceles triangle has 40 degrees. What are the measures of the other two angles?
What are 70 and 70 degrees?
100
Find x such that 2x-3=8.
What is x=6?
100
Evaluate a=log(6)+log(5)-log(3)
What is a=1?
100
What are the next logical letters in the sequence M T W T _ _ _
What are F S S?
200
A sail has two sides that meet at a right angle. One side is 15ft long and the other 9ft long. Find the area of the sail.
What is 67.5 ft2?
200
The lengths of the sides of a triangle are 7, 8, and 10. If the length of the shortest side of a similar triangle is 21, find the length of the longest side.
What is 30?
200
Solve the equation for x: 3x-1-27=0
What is x=4?
200
Solve the equation 3log(x+50)-log(1000)=3
What is x=50?
200
A newspaper made of 8 large sheets of paper folded in half. The newspaper has 32 pages altogether. The first sheet contains pages 1, 2, 31 and 32. I pick up a sheet containing page 25. What are the other pages that this sheet contains?
What are 7, 8, 25 and 26?
300
One of the angles of a right triangle has 30 degrees and the side opposite the angle is 5 inches long. Find the length of the hypotenuse.
What is 10 inches?
300
A triangle has sides of length 5, 7 and 10. A second triangle has sides 15, 21 and 30. Find the ratio between the area of the second triangle and the first trangle.
What is 9?
300
Solve the equation: (2x)3-16=0
What is x=4/3?
300
Solve the equation log(x+1)-log(x-1)=2
What is x=101/99 ?
300
Write 24 by only using the numbers 8,8,3,3. You can use add, subtract, multiply, divide, and parentheses.
What is 8/(3-(8/3))= 8/(1/3) = 24 ?
400
The sides adjacent to the right angle in a right triangle are 6 and 8 inches long, respectively. Find the radius of the circle circumscribed to the triangle.
What is 5 inches?
400
Find the area of an equilateral triangle whose perimeter is equal to 6 in.
What is 31/2 (or square root of 3)?
400
Solve the equation: 10x-1=3
What is x=log(3)+1 ?
400
Solve the equation: 10log(x)+2=5
What is x=3?
400
What number completes the third group ? (27, 56, 79) (23, 88, 27) (16, 56, x)
What is x=24 ?
500
Among all right triangles inscribed in a circle of radius 1, what triangle has maximum area and what is the value of that area?
What is the isosceles triangle? What is area 1?
500
A square and an equilateral triangle have the same perimeter, 12 in. Which geometric figure has a larger area?
What is the square?
500
Solve the equation: 4x+2x-6=0
What is x=1?
500
Solve the equation log(x-3)+log(x+3)=2log(x-1)
What is x=5?
500
Tom asked his Granny how old she was. Rather than giving him a straight answer, she replied: "I have 6 children, and there are 4 years between each one and the next. I had my first child (your Uncle Peter) when I was 19. Now the youngest one (Your Auntie Jane) is 19 herself. That's all I'm telling you!" How old is Tom's Granny?
What is 58 years old?
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