Farhan and Kenneth shared 240 marbles in the ratio of 4 : 11 respectively. How many marbles must Kenneth give Farhan so that the two boys would have the same number of marbles?
Hammie is in the 6th grade and weighs 106 pounds. Her quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds?
Answer entry: Use mean for the mean or median for the median. Enter the code for the greater quantity, then a semicolon and the integer difference in pounds, with no spaces or units.
There are 32 pots on all the sides and the corners of a square field. Suppose the pots that are next to each other are all equally spaced. How many pots are placed on each side of the field?
For each side, count the pots at both endpoint corners as well as those between them. Count each physical pot only once in the total of 32.
The clock chimes once when it is 1 o'clock, chimes twice when it is 2 o'clock, chimes thrice when it is 3 o'clock, and so on. How many times will it chime between 11 a.m and 10 p.m.
Interpret “between” strictly: exclude the chimes at exactly 11 a.m. and exactly 10 p.m. The clock follows the usual 12-hour chime cycle and chimes only on the hour.
A page was missing from a 72-page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missing?
For this practice item, “a page” means one physical leaf with two consecutive numbered sides. The book is numbered 1 through 72. Give both missing page numbers.
Answer entry: Enter the two integer page numbers in increasing order, separated by one semicolon, without spaces.
Town A and Town B are 435km apart. At 9:15 a.m., a car left Town A and travel towards Town B at a constant speed of 80km/h. At the same time, a lorry left B and travelled towards Town A at a constant speed. When they met, the car travelled a distance of 240km. Find the speed of the lorry.
Clara has $4/5$ as much money as Sandra. Melanie has $5/6$ as much money of Clara. If Sandra has 90 dollars more than Melanie, how much money does Clara have?
45% of Leon's stamp collection is from Singapore. The total number of stamps from other countries is 120 more than stamps from Singapore. How many stamps does Leon have in his stamp collection?
Mr. Jones is a chicken farmer. He wants to build a new fence around the chicken enclosure. Each metre of fencing will cost 18 dollars. Work out the cost of the new fence.
Fence the entire boundary shown, at the stated price per metre, with no unmentioned gate or extra charge.
There are twenty banana trees in a straight line. The distance between two adjacent banana trees is 3 metres. What is the distance between the first tree and eighth tree?
