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Worksheetsm4 v1018
Total questions: 160
Worksheet time: 2hrs 6mins
Clara’s family has three members with the average age of 24. Her parents are respectively 35 and 30 years old. How old is she?
(a)
There are ……….. small cubes which create the following solid shape.
(a)
What replaces the question mark?
What is the number between 123454 and 123470 which is divisible by 9?
Answer: ……….
(a)
A plant in a pond doubles its size every day. If it was planted in the southern part of a pond and covered half the pond in 28 days. It would take ………days to cover the full pond.
(a)
How many cubes to form the following solid?
(a)
John read 5 books, David read 6 books and Mary read 7 books. John and David read three same books and one book was read by all three children. Evrey other book was different. How many books did the children read totally?
(a)
What is the missing number?
(a)
A football competition was in a knock – out format. After every match, the loser would be eliminated. There were 255 matches were played. How many participants were there?
(a)
Two friends played a game of chess everday for 31 days. Who won after every match would be entitled to get $2 from the loser. At the end of the month, a friend got $38 eventually. The other had won 5 matches. How many matches ended in draw?
(a)
The following chart shows the favourite sport of students (each student chooses only one sport) in class 4A. How many more students who like soccer than volleyball?
20
5
10
15
What is the missing number in this sequence? 3; 8; 23; ….; 203; 608.
68
66
69
67
The following chart shows the number of fruits sold in a supermarket. What is the second most popular fruit.
Orange
Watermelon
Apple
Kiwi
Before a soccer game, 75960 spectators are equally divided into 24 stands. How many spectators are there on each stand?
3156
3315
3135
3165
Complete the pattern:
How many shapes below make a box when folded (with no gaps and no extra paper sticking out)?
3
1
4
2
The area of a rectangle is 180m2. The length is 5 times as much as the width. If its length doubles and its width decrease 4m, then its area
Increase 60m2
Does not change
Increase 176m2
Decrease 60m2
Tolu has a group of shapes. Each shape in her group has at least one set of parallel sides. Each shape also has at least one set of perpendicular sides. Which group could be Tolu’s group of shapes?
What replaces the question mark?
Ann accessories shop uses a special way to price products as follows.
How much does a watch cost?
$36
$48
$45
$33
Calculate
(a)
Anna has 24 comic books more than the number of comic books Sophia has. Sophia has 140 fewer comic books than Charlie. If Charlie has 204 comic books, how many comic books Anna has?
40 comic books
320 comic books
368 comic books
88 comic books
(a)
Anna scores 68 out of 80 for her test, Brat scores 86 out of 120 for his test, Cindy scores 120 out of 150 for her test, Dan scores 70 of 110 for his test. Who performs the best in his/her test?
Brat
Dan
Anna
Cindy
There are 36 kids including Mike standing in a line. The number of kids behind Mike is 4 times the number of kids ahead of Mike. What is Mike’s position in the line?
(a)
Mr General has sweet candies to give to 3 of his children. After giving each of his children 51 of his candies, he still has 4 candies. How many candies đi Mr General have at first?
(a)
85 of 6 minutes and 48 seconds = …… seconds?
(a)
Mrs Pip sold 125 kilograms (kg) of apples on the first day. On the 2nd day, she sold 15kg more than she did on the 1st day. On the 3rd day, she sold 19kg less than she sold on the 2nd day. How many kilograms of apples did Mrs Pip sell all 3 day together?
(a)
A dress that Anna wants costs 26 dollars. Anna saves 3 dollars a week. How many weeks does she have to save in order to have enough money to buy the dress?
(a)
The graph shows the number of books read by 5 students in one year. It is given that the sum of books read by the five students is no more than 60 books and no fewer than 40 books. How many books does student E read?
(a)
A family is driving 250 miles from their hometown to Grandma’s place, 15 miles after the half – way point they stopped to have lunch. How many miles do they still have to go?
(a)
How many 3 – digit numbers can you make using the following digits?
(Use each digit no more than once in each number)
(a)
One piece of wood was cut to 4 meters long pieces, 8 cuts were made. How long was the wood before it was cut?
(a)
A pool is 12m long and 10m wide. If you place flower pots around the pool 2 meters apart, center to center, how many flower pots do you need? (There should be a flower pot at each corner of the pool)
(a)
In a class 14 students collect stamps, 16 students collect postcards. 5 students collect both, but 4 students collect neither. How many students are there in the class?
(a)
Mr.Zack writes down 4 distinct numbers on a piece of paper. No number on the paper is the difference between any two of the other numbers. What is the least possible total of these 4 numbers?
(a)
John reads a book that has 208 pages from page 1 to page 208. How many times does the digit “2” appear on the page numbers of the book?
30
40
50
60
Bridget is putting 8 pairs of red socks, 9 pairs of blue socks and 10 pairs of green socks in to a box. Blind – folded, you have to take…….socks out to make sure that you have a red pair of socks or a blue pair of socks? (the left sock is different from the right one)
(a)
Five students have 120 minutes to take turns to play table tennis (only two students at a time) so that each student plays for the same amount of time. How long does each student play in total?
(Every student has to compete with everyone else once)
(a)
240 candies are packed into 8 packs with different number of candies in each pack. At least, how many candies are there in the pack that has the most candies?
(a)
Given a number 1111a (a is a digit). How many choices of a that makes this number divisible by 6?
2
0
1
3
Mr.Zack pets 9 spiders, 5 parrots and 6 ants. He counts the total number of the legs of his pets. What result will he get?
142
106
124
118
There plates A, B, C are arranged in increasing order of their weight.
To keep this order, what is the right arrangement in the following:
DABC
ABDC
ABCD
ADBC
The sum of 29 pages in a certain chapter on a book is 841, what number is written on the 19th page of this chapter?
33
32
34
35
It “x” means “+”, “y” means “×”, “z” means “-“ and “t” means “÷” then what is the value of the expression: 6x14y15z9t3?
213
97
69
297
Jack makes a pattern by repeating the 5 sgapes below in the order shown.
What is the 2018th shape in this pattern?
Four students are standing behind four doors. They do bot know about the others. After student A sees student B, student A tell a teacher: “At least one fourth of the students is girls”. After student D sees student C, student D tells a teacher: “At least one half of the students is girls”. How many girls are there if both of them tell the truth?
3
2
4
1
The four different rhombuses are drawn in the figure. Find the total perimeter of the four fhombuses.
84
112
56
28
The area of the following rhomus is ............
6cm2
12cm2
120cm2
60cm2
A square floor is tiled with congruent square tiles. The tiles on the two diagonals of the floor are black. The rest of the tiles are white. If there are 201 black tiles then the total number of white tiles is ............
9600
9799
1023
10000
There are 3 children in a family, Jack, Mary and Peter. Mary can clean the house for 1 hour. Jack can do the same job for 2 hours and Peter needs 6 hours. If they do the job together then they need (a) minutes.
How many digits are there before the fifteenth 4 of the following number?
84884888488884888884….
(a)
Consecutive counting numbers are grouped as follows: (1), (2, 3), (4, 5, 6), (7, 8, 9, 10), … There is one number in the first group, two numbers in the second group, and three numbers in the third group, … The sum of all numbers in the 100th group is…
(a)
Donald Trump has 10 grandchidren, all of different ages. Anna is the eldest. The sum of ages grandchidren is 190. At least how old is Anna?
Answer: …..
(a)
Use each of the numbers 4, 5, 6, 7, 8, 9 one to get a correct calculation ΔΔΔ − ΔΔΔ = .... What is the minimum value to be obtained in the “………….” position?
47
56
23
111
A farmer used some poles to fence a square area. There is an exit whose width is exactly a third of a side. The distance between two poles is fixed. If he used 28 poles for each of three sides that don’t have the exit, then how many poles did he use?
112
108
100
104
Find the missing number x in the following number sequence:
50
45
34
32
One month has five Tuesdays. The first and the last day are not Tuesday. The last Friday of this month is ………….th
(a)
The following figure shows three operations. Find X.
Answer: X = ……
(a)
The average weight of 8 person’s increases by 3.75kg when a new person comes in place of one of them weighing 50kg. What might be the weight of the new person?
76kg
76.5kg
80kg
85kg
What is the number of squares in the last section where the question mark is?
9
16
12
21
The sum of Jack and Jill’s age is 36 years. Jack is 54 Jill’s age. Jill is ……… years old.
20
16
26
10
Richard buys a number of flowers. He gives Mary 52 of his flowers and then gives Anne 31 of the rest. After all, he still has 24 flowers left. How many flowers does he have at first?
90
20
180
60
Anna can finish a word in 30 minutes. Bod works twice as fast as Anna. How long will it take to finish the work if Anna and Bob work together?
Answer: ………minutes.
(a)
One chain with 3 links is 14cm long. Another chain made from 5 links of the same type is 22cm long. How long is a chain with 40 such links?
Answer: A chain with 40 such links is (a) cm
Complete the sequence: 2; 3; 3; 5; 10; 13; 39; 43; …
(a)
If you only have 5 – cent and 8 – cent coins and a all the candies below are only sold in exact change, how many candies can be purchased with your coins?
4
6
3
5
A book is numbered pages from 1 to 100. How many 1’s are needed?
22
23
21
20
Sophia has a number of A4 papers. In the first month, she uses half of them. In the next 5 months, she repeatedly uses half of the previous month. Which of the following fraction represents the portion of papers used compared to the initial amount?
6463
26
641
321
Alice said to her mother, “If I reverse the two digits of my age, I will get your age”. Her mother said, “Tomorrow is my birthday, and my age will then be three times your age”. It is known that their birthdays are not on the same day. How old is Alice?
Answer: …………years old.
(a)
The difference between two numbers is the smallest distinct 3 –digit natural number and their ratio is 5: 3. What is the value of the larger number?
(a)
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. The smaller number is……….
(a)
In the multiplication: PT × PT = FPT, same letters stand for same digits. Find F.
Anwser: ………….
(a)
Mark finds the sums of pairs of two consecutive even natural numbers (without repetition).
Example: Pair 1: 0 + 2; Pair 2: 4 + 6; ….
What is the result he may find for the 2019th pair?
Answer: …………
(a)
Some students are exchanging their toys. They all agree that 2 teddy bears are exchanged for 1 book. 1 doll is exchanged for 1 book and 3 teddy bears. Annie has 2 dolls, so how many teddy bears can she exchange for?
Answer: ……..teddy bears.
(a)
Calculate: 1×21+2×31+3×41 + ... + 2018×20191 . The result is ba , with ba in the simplest form. The value a + b = …………
(a)
A group of students is assigned to plant a number of trees within a week from Monday. They plan to plant two more trees every day than the previous one. On Thursday, they plant 57 trees. On the last day, they only have to plant 33 trees left. How many trees in total are they assigned to plan?
(a)
Royce has a bag with 4 red marbles, 3 blue marbles, 4 green marbles, and 5 yellow marbles all the same size. If he pulls out 1 marble without looking, which color is he most likely to choose?
yellow
blue
green
red
The value of the expression 6 x a + b x 8 + a x 2 for a + b = 17 is…
(a)
Find the unit digit of
2
0
4
6
The following chart shows the price of one item (unit: thousand VND) for pen, pencil, ruler and eraser. How much more does a student pay to buy one pencil and one ruler other than one pen and one eraser?Answer: ……..thousand VND
(a)
How many triangles are there in the following figure?
(a)
All four scales shown are balanced. One possible replacement for the “?” is …..
To number pages of a Maths book from Page 1, the author uses 600 digits. How many pages are there in the book?
237
300
236
200
Ryan creates a 2 – character code with the former from the word VIOLYMPIC and the latter from the number 2019. How many different codes he create?
36
32
72
64
The value of expression:
A = 20161+ 20163+ 20165+ ... + 20162015 is (a)
There are twelve points in the figure. How many squares can be formed by joining four of these points?
(a)
Fill in the sequence: 5; 6; 9; 15; …; 40
(a)
The average age of three random foreigners is 32. The boy’s age is 61 of the total age, while the woman’s age is 53 of the man’s age. How old is the woman?
50
30
48
20
At an ice – cream shop, there are 7 children. 4 of them ordered one two – scoop ice cream cone each. The others ordered two one – scoop ice cream cones each. Which picture describes the ratio between these two kind of ice – creams?
Five years ago, Ben was four times as old as Anita was. If Anita is now 7 years old, then Ben is ……….years old.
(a)
Flags of three colours: red, yellow and green are placed on the sidewalk of a street. Red flags are placed every 6 meters, yellow flags – 7 meters and green flags – 8 meters. Flags of three kinds are placed at the start of the road. At least how many meters does a person have to walk to see another position having flags of three kinds?
21
Impossible
336
168
The following chart shows the weight of a group of students. What is their average weight?
51kg
2101kg
52kg
2103kg
Complete the series:
25; 32; 37; 47; 58; 71; 79; …; …
(write your answer in order, use “;” between the numbers)
(a)
Peter writes the following number on the board: 12112111211112… If he continues doing that, how many digits are there before the 2019th 2 of that number?
2039190
4038
2041208
4037
Given a sequence 2; 7; 12; 17; ….. There are …………3 – digit numbers in this sequence.
180
160
220
200
The following sequence has 9 terms, in which the first and the last are known, the seven in the middle is unknown: 3 ΔΔΔΔΔΔΔ 2019. The differences between two consecutive terms in the sequence are all the same. What is the value of the fourth rightmost term?
Answer: ……..
(a)
Sam does not have many socks, so she has a clever idea: If she wears mismatched socks, then she can make lots of different pairs! How many different socks must Sam have at least to make sure that she can wear a different pair every day for a whole month?
Answer: …………
(a)
The product of two distinct natural numbers is 144. What is their minimum possible difference?
Answer: …….
(a)
Candice has 7 times as many candies as her brother Alex. If she gives Alex 5 candies of hers. Candice will have thrice as many candies as him. How many candies does Candice have?
(a)
By switching the positions of the two digits, 12 turns into a larger number 21. How many two-digit natural numbers (excluding 12) having this property?
Answer: …..
(a)
Mr. Zack has 24 pieces of paper. On a rainy day, he decided to cut some of the pieces in to 8 smaller pieces each. At the end, the total number of pieces is ten times the number of pieces that were cut. How many pieces of paper were cut?
(a)
In how many ways can we simplify the fraction 240180 ?
(a)
A piece of a rectangle is cut out and reshaped to form a parallelogram. If the perimeter of the rectangle is 220cm, the length is 30cm more than the width and one side of the parallelogram is 50cm, the length of segment CH is ……..cm.
(a)
The result after carrying out 4 continuous calculations: add 2019, subtract 2020, multiply by 714, divide by 2022 is 2023. What is the initial number?
Answer: ………..
(a)
It takes Factory A 20 days to produce a set of items. Factory B gets to produce the same set of items and reaches the halfway point 4 days more than factory A does.Given that factory A produces 36 items per day more than factory B, how many items are there in the set? (Both factories produce at a constant productivity from the beginning until the end).
2520
400
1800
3528
In a free – hugging event, there are 2019 participants. The first girl gets to hug 10 boys, the second girl – 11 boys, the third girl – 12 boys and so on. In the end, the last girl gets to hug all the boys. How many boys are there in this event?
Answer: …..
(a)
The 13 squares are to be filled with natural numbers. If the sum of any three adjacent number is 15. Find the value of X
9
4
0
1
Which number is the 236th term of the sequence: 2; 3; 5; 8; 12; …
27968
27966
27732
27730
Geogre receives a half of a dozen of white envelopes. In each of these white envelopes, there are 5 red envelopes. In each red envelope, there are 4 other blue envelopes. How many envelopes does he receive in total?
120
240
312
156
Fill in the blank: 99; 92; 86; …; 77
(a)
A student adds three natural numbers VIO, IO and O together to get a 3 – digit sum where the same letter represents the same digit. What is the maximum value to be obtained?
(a)
The average of three numbers is 87. The first number is the largest 2-digit natural number and the ratio of the other two numbers is 4:5. What is the difference between the last two numbers?
Answer: ……….
(a)
If A∇B represents A x B – 2019, then what is the value of (45∇67)∇89?
264297
266316
86625
88644
Four groups of students are asked about their weights. The numbers of students in four groups are relatively 10, 20, 30, 40 and the average weights are relatively 46kg, 36kg, 64kg, 40kg. What is the average weight of all of the students?
31
45
32
47
How many numbers between 2019 and 9102 are divisible by 5?
1416
1418
1417
1419
The average of 4, 8, X and 13 is 8. The value of X is (a)
What fraction of the square is shaded blue?
(write your answer form a/b, examples: fraction 21 , write your answer 1/2)
(a)
Larry writes the number 2019 on the board. He then starts to write other numbers by adding 3 to the previous one. What could be the 2019th number on the board?
Answer: ………
(a)
How many 3-digit natural numbers whose sum its digits equals 10 are there?
54
42
78
51
The first 2019 natural numbers are listed on a piece of paper. Students are then asked to cross out multiples of 5 and find the product of the remaining numbers. What is the unit digit of the product?
Answer: …………..
(a)
What fraction of the square is shaded blue when you keep colouring the figure?
One – fourth.
One – third
Two – third
A half
A campaign aims to plant 2019 trees across Vietnam. Only one tree is planted on the first day; however, twice the number of trees are planted on each of the next days. How long does the campaign last?
Answer: ……….
(a)
Anna buys 6 dozen of pencils. She shares 41 of them with her brother and 21 of the rest with her sister. How many pencils does she have left?
18
2
27
9
An apple weighs 500 grams plus a half of the apple. What is the weight of eleven apples?
Answer: ……….kg
(a)
Which of the following best completes the pattern above?
Fill in the sequence:
1 4 6 9 11 14 16 19 ?
22
23
21
20
What are the last three digits of them sum:
119
999
789
899
The sum of consecutive natural numbers is 27. How many of them are there at most?
Answer: ………..
(a)
Mr. Zack is putting marbles in 9 boxes. The number of marbles in each box is different from the others’, not divisible by 2 and the difference between any two boxes is at least 3 marbles. At least how many marbles does Zack need to do that?
(a)
James has 2 more chickens than dogs. One half the chicken legs are equal to three eighths the dog legs. How many legs are there in total?
Answer: ………..legs.
(a)
Using four digits 2, 0, 1, 9 exactly once to fill the expression:
Δ + Δ − Δ × Δ . What is the maximum value to be obtained?
7
10
11
3
There are 100 students. All students do like either Maths or Vietnamese of English.
Exactly 19 students like just one of these
At least 67 students like Maths.
At least 83 students like VietNamese.
At least 73 students like English.
There are at least ……… students that like all of subjects?
(a)
The following chart shows the salary levels of employees in a factory. The ratio between the number of employees whose salary is 5 milion and the number of the rest employees is ba (ba is simplest fractiom)
(a)
In the equation: N x U x (M + B + E + R) = 33, six letters are 6 distinct digits from 0 to 9. How many different ways are there to choose 6- tuples (N,U,M,B,E,R)?
48 ways
24 ways
32 ways
36 ways
One month has five Tuesdays. The first and the last day are not Tuesday. The last Sunday of this month is ………th.
(a)
An, Binh and Cuong are fiven 75 notebooks in total. An gives Binh 20 of hers, Binh gives Cuong 1 of his and Cuong gives An 9 of his. It surprisingly turns out that they now have the same number of notebooks. How many notebooks does An have initially?
14
36
16
33
A rectangular TV has a length of 80cm and a width of 50cm. If the border is 5 cm thick, the area of the screen is ……………..cm2.
(a)
There are ………2 – digit numbers that are divided by 2 but not divided by 3.30
(a)
What is the area of the orange shape, given the area of two blue shape?
18
3
6
9
Some men meet at a conference. Each man shakes hands with each other exactly once. If there are 1225 handshakes in total then the number of men is ……….
(a)
Binh spent 140000 VND buying three items. The first one costs of the total spending, the second is 6 times as much as the last one. What is the price of the second one?
15000 VND
35000 VND
105000 VND
90000 VND
How many zeros are there in the result of 10 x 20 x 30 x … x 100?
13
12
9
10
The 2019th even number (including 0) is………
(a)
Some chair continuosly numbered from 1 are evenly placed around a huge circular table. The number 123 chair is directly opposite the number 789 chair. How many chairs are there in total?
(a)
Some men meet at a conference. Each man shakes hands with each other exactly once. If there are 4950 handshakes in total then the number of men is
(a)
Find the greatest natural number m such that: 1712<5+m8<2321
Answer: m = (a)
Four soccer balls cost $36, three basketballs cost $33. How much would it cost to buy 5 soccer balls and 7 basketballs?
$118
$122
$411
$137
Nancy got some flowers. She found that if she put one flower per vase in her house, she had one flower left. But if she put two flowers per vase, she had one vase empty. Nancy had ………flowers and ………..vases?
(a)
12 people shook hands with each other before, between and after the meeting. What is the total number of handshakes?
264
132
198
66
Arma spent 390 000 VND to buy a total of 23 oranges and apples. The prices of an orange and an apple are respectively 13 000 VND and 20 000 VND. How many apples did she buy?
10
12
13
11
Harry buys 20 books and 19 notebooks for $98. On the next day, he buys 19 books and 20 notebooks for $97. How much is one notebook?
Answer: $ (a)
The following chart shows the dream job of students (each student chooses only one job) in class 4B. Which of the followings represents the ratio between the number of students whose dream job is scientist and the total number of students in the class?
267
197
149
1514
Cindy and Daniel together have $580. If 71 of Cindy’s amount is equal to 373 of Daniel’s amount, how much amount does Daniel have?
Answer: Daniel has $ (a)
All the outer faces of a big 15 x 15 x 15 cube are painted in yellow. How many faces are unpainted?
(a)
Choose the largest fraction in the followings:
2498479
2134115
2255236
2632613
On a rectangular field whose length is 24 meters and width is a half the length; a house was built in the shape of a square whose side is 9 meters and the rest is for gardening. What’s the area of the garden?
Answer: ……….m2
(a)
What comes next in the sequence? 2; 6; 36; 324; 3888; 58320; …
(a)
The product of two natural numbers is 53. What is their diference?
Answer: …………….
(a)
The sum of the digits of all 2-digit numbers is……………
(a)
