Counting and multi-step puzzles · SET 2

A sculptor removes 35%of the original marble, then 20%of the remainder, then 25%of the new remainder. The finished statue weighs 48.75 lb. What was the original weight, in lb?

552 eggs are cracked, 12%of a consignment. How many eggs are in the whole consignment?

A bag weighs 50 pounds divided by half the numerical value of its weight. How many pounds does it weigh?

Three numbers average 29. Two of them average 38. What is the third?

A right triangle has hypotenuse 65 cm and second-longest side 63 cm. What is the shortest side, in cm?

Of 384 coffee drinkers, 1/4 take sugar only, 5/8 milk and sugar, 1/16 milk only, and the rest neither. How many take neither?

Stall 1 has 16 apples and 48 oranges left; stall 2 has 36 apples and 24 oranges. What is the difference in the apple percentages, in percentage points?

Eight players are on the pitch throughout a 90-minute game. Four reserves alternate so all 12 people play equally. How many minutes does each play?

A company produces 864 white, black and red cars weekly in ratio 1: 5: 3. How many are black?

A sapling is 3 feet shorter than a fence four times its height. How tall is the sapling, in feet?

A right triangle has legs 10 cm and 24 cm. How long is its hypotenuse, in cm?

689 workers attend a conference. Each bus seats 35 passengers. What is the minimum number of buses?

In 15 years, the combined age of four brothers will be 107. What will it be in 6 years?

Each symbol (heart, club, diamond, spade) has a value. The numbers at the end of each row and below each column are the totals. Which symbol should replace the question mark to make the totals correct?

The cost of hiring a private rail carriage is shared equally by all the passengers, who each paid an exact whole number of pounds that was less than £100. The carriage has seats for 50 passengers and the total bill is £1887. How many seats were not occupied?

At a school outing, 81% of the boys had lost a shoe, 82% had lost a sock, 77% had lost a handkerchief and 68% had lost a hat. At least what percentage of the boys must have lost all 4 items? Give the answer as a whole number of percent.

An invoice for wine reads "?67.9?" pounds: the first and last digits are missing. There were 72 bottles, all the same price. How much did each bottle cost? Give the answer in pence (1 pound = 100 pence).

A man drives to a town 30 miles away at a speed of 45 mph and arrives in 40 minutes. On his return he takes 60 minutes. What is his average speed for the total trip, in mph?

How many 4-card permutations (ordered arrangements) can you make from a standard pack of 52 playing cards?

In a lottery, 6 winning numbers are drawn from 30 numbers. How many different tickets are needed to include every possible set of 6 numbers out of 30?