Grade - practice problems - page 8 of 968
Number of problems found: 19341
- Angle over circle
In the figure, O is the centre of the circle and AB is tangent to the circle at B. If angle OAB is 28°, find angle AOB. The figure is not to scale. - Angle of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm. - Submarine and plane
A submarine is floating 900 m below sea level. Directly above it, an aeroplane is flying at an altitude of 4,800 m above sea level. What is the vertical distance between the two? - The average age
The average age of a 5-member committee is the same as it was 3 years ago, because an old member has been replaced by a new one. Find the difference between the ages of the old and new members. - Digits sum
A two-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. Find the sum of the digits of the number. - Salary up and down
After reducing a man's salary by 50%, it is then increased by 50%. Find the net gain or loss percentage. - The sum 52 The sum of the digits of a two-digit number is 10. When the digits are interchanged, the resulting number is 54 less than the original. What is the original number?
- Division with a remainder
Find the smallest number which, when divided by 8, 12, and 20, leaves a remainder of 5 in each case. - Tower + pole
On horizontal ground, there is a vertical tower with a flagpole on its top. From a point 9 m from the foot of the tower, the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively. Find the height of the flagpole. - The ratio 21
The ratio of the number of sides of two regular polygons is 1:2 and the ratio of the sum of their interior angles is 2:3. Find the number of sides of each polygon. - Correcting mean
The average of 10 numbers is calculated as 25. It is later discovered that while calculating the average, the number 36 was wrongly read as 56. Find the correct average. - Two friends 5 Two friends, X and Y: X is 36 years old and Y is 16 years old. In how many years will X be twice as old as Y?
- The ages 3 The ages of A and B are in the ratio 5:4. Three years from now, the ratio of their ages will be 11:9. What is B's present age?
- A rectangle 15
A rectangle is 5 cm longer than its width. Its area is 6 cm². What are the dimensions of the rectangle? - Subtracting 7
Subtracting 50 from 50% of a number gives 50. Find the number. - Rhombus = area, diagonal
The area of a rhombus is 144 cm². One diagonal is twice the length of the other. How long is the shorter diagonal? - A man 24
A man distributed €25,300 among his 3 sons A, B, and C such that the amounts of their portions, with 10% simple interest over 2 years, 3 years, and 4 years respectively, will be equal. What is A's share? - Train station
A man walks from his house to the station. If he walks at 5 km/h, he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the train departs. Find the distance from his house to the station. - The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm and one diagonal of which is 24 cm.
- Rectangle - S2
Calculate the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
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