Grade - practice problems - page 7 of 967
Number of problems found: 19327
- The average 19
The average age of a class was 15 years. When 5 boys with an average age of 12 years and 6 months were admitted, the class average decreased by 6 months. How many students were in the class originally? - Cu ore
An ore contains 5% copper. How much ore is required to obtain 400 grams of copper? - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume? - The shadow 2
The shadow of a tower standing on level ground is found to be 40 m longer when the Sun's altitude is 30° than when it is 60°. Find the height of the tower. - Journey trip
A man performs 2/15 of his total journey by rail, 9/20 by bus, and the remaining 10 km by bicycle. What is the total length of his journey? - Existence of a triangle
Can the sides of a triangle have lengths of 4, 18, and 20? - Salaries - ratio3
The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries? - Goods train
A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? - Bellow one
What is 1/3 expressed as a whole number? - Last Friday
3/4 of the children were present at school last Friday. If 90 children were present, how many were absent? - Fabric - Jose
Jose had 1 5/7 yards of fabric and used 24/59 of a yard for a project. What fraction of the fabric did he use? - Parallel lines - dist
Find the distance between the parallel lines 3x − 4y + 7 = 0 and 3x − 4y + 5 = 0. - Beeps
An electronic device beeps after every 60 seconds. Another device beeps after every 62 seconds. They beeped together at 10 a.m. When is the next time they will beep together? - A person 2
A person has 2 parents, 4 grandparents, 8 great-grandparents, and so on. Find the total number of ancestors during the ten generations preceding his own. - 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.
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