Grade - practice problems - page 6 of 968
Number of problems found: 19341
- GP - negative term
The first term of a geometric progression is −3 and the square of the second term equals its 4th term. Find the 7th term of the progression. - Three in a ratio
If A is 40% more than B, and B is 20% less than C, find the ratio A:C. - A liter of a milk
One litre of milk costs Rs 42.50. What will be the cost of 2.5 litres? - School - boys:girls
In a school, 10% of the boys is equal to 1/4 of the number of girls, and 10% of the number of girls is equal to 1/25 of the boys. Find the ratio of the number of boys to girls. - Mother and daughter 6 A mother is six times as old as her daughter. In 6 years' time, she will be four times as old as her daughter. How old is each of them?
- Eva wraps
Eve wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square metres? - A solid
A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid. - Compare ratios Are the ratios 4:7 and 16:19 equivalent?
- Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture. - Equation of the line
Find the equation of the line through (1, 2) with slope 3. - Milk everyday Nisha consumes 1,200 ml of milk every day. How many litres of milk will she consume in 5 weeks?
- The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for $5 less, he would have gained 25%. Find the cost price of the article. - Swim kilometers
Amy swam 2/9 kilometres to an island. Then she swam 1/9 kilometres to a boat. How far did she swim in all? Write your answer as a fraction in simplest form. - A road 2
A road crew must repave a road that is 4/5 miles long. They can repave 1/20 miles per hour. How long will it take the crew to repave the road? Write your answer in simplest form. - The sum 53 The sum of three numbers in a geometric progression is 35 and their product is 1,000. Find the numbers.
- A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - A person 3
A person distributes his pens among four friends A, B, C, and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens the person should have? - A train 6
A train covers distances of 10 km, 20 km, and 30 km at speeds of 50 km/h, 60 km/h, and 90 km/h respectively. Find the average speed of the train in km/h. - A pie 16
A pie is divided among 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what is left, and so on. Who gets the largest piece of pie? - The centroid
The centroid of a triangle ABC is at the point (3, 3, 3). If the coordinates of A and B are (3, −5, 7) and (−1, 7, −6) respectively, find the coordinates of point C.
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