Font size
WorksheetsKelas Istimewa 2020 Drill Y
Total questions: 10
Worksheet time: 12mins
The sum of the reciprocals of three positive integers is 1. It is known that one of them is a multiple of 2 and another one is a multiple of 3. The quotient when the multiple of 2 is divided by 2 is added to the quotient when the multiple of 3 is divided by 3. What is the largest possible sum of the two quotients?
(a)
Weni cuts a long loaf of bread into 10 equal pieces but leaves the entire loaf together. Lia and Anggi also did the same thing on the same loaf of bread, but cutting it into 15 and 18 equal pieces, then the loaf falls apart. How many pieces are there altogether?
(a)
Suppose a rectangle ABCD has area 2016 cm2 . E is a point on CD and F is a point on AB such that EF is parallel to AD. The distance from X to CD is twice the distance from X to AB. The distance from Y or Z to AB is twice the distance from Y or Z to CD. The distance from Y to EF is twice the distance from Y to BC. The distance from Z to EF is twice the distance from Z to AD. Find the area, in cm2, of triangle XYZ.
(a)
Each of A and B, both starting with 50 dollars each, are taking turns in tossing a coin. If the coin lands heads, the other player losses 4 dollars and if the coin lands tails, the other player wins 3 dollars. After each player has tossed the coin 10 times, A has 42 dollars more than B. If A got heads 6 times, how many times did B get heads?
(a)
In ΔABC , ∠A = ∠2B , CD bisects ∠ACB , AC = 11 cm and AD = 2 cm. Find the length, in cm, of BC.
(a)
Burton calculates the least common multiple of some consecutive positive integers starting from 1. Vargas performs the same computation but includes the next four consecutive positive integers from Burton’s list. If they have the same answer, what is the smallest possible value of the largest number of Burton's positive integers?
(a)
The diagram shows eight isosceles right triangles placed around a point so that the hypotenuse of each triangle coincides with the leg of the next triangle. If the total area of all eight triangles is 637.5 cm2 , find the area, in cm2 , of the shaded triangle.
(a)
Mary writes down 2017 on the first day. Every day after, she writes down the sum of the cubes of the digits of the number of the preceding day. What number will Mary write down on the 2017th day?
(a)
How many distinct 4-digit numbers are there such that sum of the first three digits is 20 and sum of the last three digits is 17?
(a)
In how many ways can 1, 2, 3, 4, 5 and 6 be arranged in a row so that the difference between any two adjacent numbers is not equal to 3?
(a)
