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WorksheetsCODE 12309089619271
Total questions: 60
Worksheet time: 4hrs 51mins
It requires 30 minutes to cut a piece of wood into 11 sections. If the time required to cut a piece of wood into two is the same, how many minute(s) is / are required to cut a piece of wood into 7 sections? (You can only cut one piece of wood into two at any given cut.)
(a)
There are a total of 32 chickens and rabbits in a farm, and the animals have a total of 102 legs. How many chicken(s) is / are there in the farm?
(a)
According to the pattern shown below, what should be the number represented by “?” in the figure below?
(a)
If yesterday was Wednesday, which day of the week will it be 145 days later?
(a)
According to the pattern shown below, what should be the number filled in the blank?
14 , 51 , 112 , 203 , 330 , 499 , (a) , . . .
If we add 11 to Leon’s age this year, the sum is then divided by 6, 4 is then subtracted from the quotient and finally the difference is multiplied by 5, the result will be 15. How old is Leon this year?
(a)
Find the value of 39 + 43 + 45 + 47 + 51 + 54 + 58 + 66 .
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Find the value of 123÷11 + 132÷11 - 24÷11.
(a)
Find the value of 10 + 13 + 16 + . . . + 76 + 79 + 82 .
(a)
Find the value of 100÷13 + 35÷13 + 150÷13 + 40÷13.
(a)
It Find the value of 8⨯225 + 50⨯20 + 40⨯35.
(a)
Find the value of 69⨯551.
(a)
The sum of 12 consecutive odd numbers is 240. Find the largest number among these numbers.
(a)
Define the operation symbol a*b = (a⨯b – 2b) + 3a , find the value of (3*4)*5 .
(a)
Given that the product of positive integers A and B is 525, and A is 21 times of B. Find the value of A.
(a)
Given that the sum of integers A and B is 615, and A is 14 times of B. Find the value of A.
(a)
Find the unit digit of
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If a 9-digit number 20243A264 is divisible by 12, find the largest possible value of single-digit number A.
(a)
Cubes of the same size and shape are stacked together as shown in the figure below. At least how many square face(s) of the cubes can be seen if observing from the top?
(a)
36 small squares of perimeters 20 are combined to form a large square. Find the perimeter of the large square.
(a)
A pyramid has 261 vertices. How many edge(s) does this pyramid have?
(a)
Refer to the figure below, given that ABCD is a square with side length 10 and CEFG is a square with side length 16, find the area of triangle ACF.
(a)
Refer to the figure below, varies sizes of equilateral triangles are combined to form the figure below. If the total area of the figure is 104, find the area of the grey equilateral triangle.
(a)
How many rectangle(s) not containing “*” is / are there in the figure below?
(a)
How many 3-digit number(s) greater than 700 is / are there such that the number does not contain digits “0”, “4” or “7”?
(a)
Numbers are drawn from 100 integers 24 to 123 at random without replacement. At least how many number(s) need to be drawn to ensure that there are two numbers drawn whose sum is 100?
(a)
If we construct two 4-digit numbers by using 8 digits 0, 2, 3, 4, 5, 5, 7, 9 without repetition, what is the greatest difference of these two 4-digit numbers?
(a)
255 chocolate bars are placed in box A, B, C or D. Given that every box contains at least one chocolate bar, in the box containing the most chocolate bar, at least how many chocolate bar(s) is / are in the box?
(a)
Given that the total weight of 2 apples and 2 oranges is 720 g, and the weight of two apples is the same as that of four oranges. How many gram is the weight of an apple?
(a)
In how many different way(s) can Elaine walk from point A to point B following the paths outlined in the figure below such that he can only move up or move right?
(a)
Sunan and all other students from class 4C are standing in rectangular formation. There are 11 students on Sunan’s left hand side, 3 students on his right hand side, 6 students in front of him and 5 students behind him. How many student(s) is / are standing in the formation?
(a)
If 18 is subtracted from Peter’s age this year, the difference is then divided by 5, 10 is then added to the quotient and finally the sum is multiplied by 4, the result will be 64. How old is Peter this year?
(a)
According to the pattern shown below, if A and B are positive integers, find the value of B.
(a)
If 24th January 2023 is Tuesday, which day of the week is 24th November 2023?
(a)
Edward is counting numbers from 15. Whenever the number counting is a multiple of 7, he claps his hands one time. What will the next number be after Edward clapped his hand 25 times?
(a)
There are a total of 35 chickens and rabbits in a farm. These animals have a total of 110 legs. How many chicken(s) is / are there in the farm?
(a)
Using the identity S = 2S – S , find the value of S =13+ 26 + 52 + . . . + 656 + 13312 .
(a)
Find the value of 212 + 225 + 238 + 251 + . . . + 433 + 446.
(a)
Find the value of 589÷31 – 25÷31 + 119÷31 + 154÷31.
(a)
Find the value of
(a)
Find the value of 234⨯95.
(a)
Find the value of 9⨯12⨯15⨯18.
(a)
What is the largest 3-digit number that is divisible by both 28 and 42?
(a)
Define the operation symbol a*b = (b – a)⨯(a + b) – (4a – b), find the value of (7*10)*35 .
(a)
Find the unit digit of
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Given 1-digit numbers A and B, if 10-digit number 102749A63B is divisible by 21 and B > 5 > A > 0 , find the value of A.
(a)
The sum of 7 consecutive even numbers is 784. Find the value of the largest number among them.
(a)
Given that positive integers A and B satisfy the product of A and B is 1445 and A is 5 times of B. Find the value of A.
(a)
If we combine 16 squares of perimeter 44 into a rectangle with integral side lengths, what is the maximum possible perimeter of this rectangle?
(a)
9 cubes are needed to be created a 3-level structure as below. How many cube(s) is / are needed to be created an 8-level structure following the same pattern?
(a)
How many rectangle(s) containing both “*” is / are there in the figure below?
(a)
How many rectangle(s) is / are there in the figure below?
(a)
Given the area of a rectangle with integral length and width is 693, find the minimum possible value of its perimeter.
(a)
Given a right-angled triangle with hypotenuse 10 and one of its leg 8 shown in figure 1, if we use 4 of these triangles and a rectangle of appropriate size to form the polygon in figure 2, what is the area of this polygon?
(a)
A number is called “Special” if its unit digit is smaller than its other digit(s) if any, for example 831 and 554. How many 3-digit “Special” number(s) is / are there if its hundreds digit can only be 2, 3 or 4?
(a)
If we are using numbers 1, 5, 5, 5, 6, 7, 7, 8, 8 and 8 without repetition to form two 5-digit numbers, what is the minimum possible value of their difference?
(a)
89 students are divided into 5 different groups. If each group has at least 5 students and two of the groups have at most 15 students, at least how many student(s) is / are there for the group with the most students?
(a)
How many different way(s) is / are there to divide 2205 candies into equal group(s)? (Grouping all 2205 candies into 1 group is allowed)
(a)
Numbers are drawn from 95 integers 51 to 145 at random. At least how many distinct number(s) do we need to draw to ensure that there are two numbers drawn whose difference is 13?
(a)
A flight of stairs has 11 steps. Andy can go up 1 step or 2 steps at a time. The 9th step cannot be stepped on as it is broken. How many different way(s) is / are there for Andy to go up the stairs?
(a)
