Grade - practice problems - page 7 of 968

Number of problems found: 19343

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.
Tammy
Tammy attends Gray River College. Tuition this year is $6,450. Tammy's parents have saved $2,000 for her tuition. She also has a grant for $1,100 and a music scholarship for $800. Tammy plans to earn the rest at her work-study job. How much money does Tam
The surface 5
The surface area of a cylinder is 6,140 cm², and the base radius is 25 cm. What is the height?
A building
A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres?
A watch
If a watch is sold for $60, there is a loss of 15%. At what price must the watch be sold to make a profit of 2%?
A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m².
Two types of ore
A total of 42 tonnes of two types of ore is to be fed into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tonnes of copper.
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.

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