2022年大联盟(Math League)国际夏季四年级数学挑战活动二练习（含答案）

这是一份2022年大联盟(Math League)国际夏季四年级数学挑战活动二练习（含答案），共15页。试卷主要包含了 21 × 22=， − = 100 × ?等内容，欢迎下载使用。

Nte:
Listed belw are the fur types f cins currently being minted in United States.
Penny: 1¢
Nickel: 5¢
Dime: 10¢
Quarter: 25¢
1. 21 × 22=
A) 43
B) 442
C) 462
D) 2122
Answer: C
What is the average f 1, 2, 3, 4, 5, 6, and 7?
1
4
7
10 Answer: B
I have 1 penny, 5 nickels, and 10 dimes. Hw much mney d I have? A) $1.25
B) $1.26
C) $1.50
D) $1.51
Answer: B
The digital sum fr the year 2022 is 2 + 0 + 2 + 2 r 6. Hw many years frm 2023 t 2500 have a digital sum f 6?
10
12
13
14 Answer: B
5. 100% f 50 = 200% f ?
25
75
C) 100
D) 150
Answer: A
Of the fllwing, which fractin des nt equal 2?
3
22 33
4 6
18 27
40 90
Answer: D
The sum f tw whle numbers is 36. Their greatest pssible prduct is
A) 35
B) 260
C) 320
D) 324
Answer: D
Hw many different rectangles des this diagram cntain? (Cunt all rectangles, including squares.)
18
24
36
64 Answer: C
Hw many psitive prime numbers have nes digit f 5?
0
1
5
25 Answer: B
If I start with $100, increase this by 50%, then decrease the new amunt by 50%, hw much mney will I have?
A) $50
B) $66
C) $75
D) $100 Answer: C
Bb earned $33 in 6 days. At the same rate, Bb’s ttal earnings shuld be $88 in hw many mre days?
10
14
16
22 Answer: A
Of the fllwing whle numbers, which has the fewest number f factrs?
6
8
10
11
Answer:D
13. 111111  222222  333333  444444  222222  ?
1
4
5
10 Answer: C
Rund 0.999 t the nearest tenth. A) 0.1
B) 0.9
C) 0.99
D) 1.0
Answer: D
Ozzie hid his head in the sand 98 hurs after 11 P.M. Sunday. Ozzie hid his head n a
Tuesday
Wednesday
Thursday
Friday Answer: D
The nes digit f the prduct 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 is
1
2
9
0 Answer: A
The number f zer-digits in 80500 is 3. If the prduct 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 = 3628800, hw many zer-digits are in the prduct 10 × 20 ×
30 × 40 × 50 × 60 × 70 × 80 × 90 × 100?
10
11
12
13 Answer: C
18. (200 + 199 + 198 + ⋯ + 101) − (100 + 99 + ⋯ + 1) = 100 × ?
A) 99
B) 100
C) 199
D) 200
Answer: B
If I made a list f every seven-digit whle number greater than 1 millin which has exactly six f its digits equal t 9, hw many different numbers wuld be n my list?
7
9
62
63 Answer: C
If the sum f tw whle numbers equals twice their difference, this sum cannt be A) 222
B) 444
C) 888
D) 1000
Answer: A
All the fllwing have 2, 3, 5, 6, 10, 15, and 30 as factrs except
A) 543420
B) 85030
C) 72630
D) 53430
Answer: B
In a class f 30 students, exactly 7 have smart phnes, exactly 15 have pcket calculatrs, and exactly 2 have bth. Hw many f the 30 students have neither?
10
8
6
4 Answer: A
23. 2 m 1000 mm 
10 cm
100 cm
20 cm
200 cm Answer: B
A prime number multiplied by its reciprcal will always be
prime
0
even
dd Answer: D
Which f the fllwing fractins is less than ne-third?
5 14
15 46
31 90
D) 104
309
Answer: B
In a class, the rati f the number f bys t the number f girls is 2 t 3. The number f bys is what percent f the number f students in the entire class?
A) 20%
B) 40%
C) 60%
D) 66 2 %
3
Answer: B
Jan bught a painting fr $10, sld it fr $20, repurchased it fr $30, then resld it fr $40. Jan
brke even
made $20
lst $10
lst $20
Answer: B
Hw much less is the area f a rectangular field 60 meters by 40 meters than that f a square field with the same perimeter?
10 square meters
100 square meters
1000 square meters
they’re equal Answer: B
Chice ?has mre different prime factrs than the ther chices. A) 1997
B) 1998
C) 1999
D) 2000
Answer: B
A clck is set crrectly at 2 P.M. It lses 3 minutes every hur. What is the crrect time when the clck reads 9 A.M. the next day?
A) 8 A.M.
B) 8:03 A.M.
C) 9:57 A.M.
D) 10 A.M. Answer: D
Find the largest prime factr f 30 × 40 × 50.
3
5
10
50 Answer: B
In the rectangle belw, the area f triangle ABC is 12. What is the area f triangle ABE? (E is the midpint f line segment CD.)
18
15
12
10 Answer: C
All the whle numbers with a first digit f 2 are written in increasing rder. The list begins 2, 20, 21, 22, …Find the 1000th digit thus written.
6
7
8
9 Answer: A
My bicycle has a rear wheel whse diameter is 1.2 times as big as the diameter f the frnt wheel. As I ride my bicycle, if the frnt wheel turns 120 times, the rear wheel will turn
96 times
100 times
120 times
144 times Answer: B
Fr any number N, let #(N) be the number f prime numbers less than r equal t N. What is #(8620) - #(8614)?
0
1
2
3 Answer: A
I multiplied ne whle number by 18. I multiplied a secnd whle number by 21. I then added the tw prducts. Of the fllwing, which culd have been the resulting sum?
A) 2020
B) 2021
C) 2022
D) 2023
Answer: C
The lengths f the sides f a triangle are 6, 8, and 10. The area f this triangle is
24
30
40
48 Answer: A
In a 10-team league, each team plays every ther team exactly twice. Find the ttal number f games played in the league.
45
81
90
D) 180
Answer: C
A man has 2 pennies, 3 nickels, 1 dime, and 2 quarters. Hw many different sums f mney can he make using ne r mre f these 8 cins?
8
12
47
77 Answer: C
A pilt flew 80 km. He flew the first 4 minutes at half speed and the secnd 4 minutes at full speed. The full speed f the plane is
400 km/hr
600 km/hr
800 km/hr
1000 km/hr Answer: C
A whle number is called an increasing number if each digit in the number is greater than the digit t its left. Fr example, 2359 is an increasing number. Hw many increasing numbers are there between 5000 and 10000?
3
4
5
6 Answer: C
9
16
42.
5
A)
7
B)
5
7 Answer: D
Hw many different three-digit numbers can be made using any three f the fllwing five digits: 1, 2, 2, 3, and 3?
12
16
18
20 Answer: C
If B is the midpint f AC , and if C is the midpint f BD , then what percent f CD is AC?
A) 25%
B) 50%
C) 100%
D) 200%
Answer: D
At 3:30, the hands f an accurate schl clck make an angle f
90 degrees
75 degrees
65 degrees
60 degrees Answer: B
Fr what value f x will the sum f the numbers in each rw, each clumn, and bth majr diagnals be equal in the “magic square” shwn belw?
13
4
14
15
16
18 Answer: C
What is the 200th number in the sequence 1, 1, 1, 2, 1, 3, 1, 4, 1, 5,…?
A) 1
B) 100
C) 101
D) 200
Answer: B
8
10
17
5
6
12
x
9
What is the remainder when
0
1
2
3 Answer: B
1099
is divided by 9?
A square can be divided int 9 smaller cngruent squares, as shwn. By drawing different lines, it wuld be pssible t divide this square int ?smaller cngruent squares.
70
80
90
D) 100
Answer: D
A man travels a distance f 20 miles at 60 miles per hur and then returns ver the same rute at 40 miles per hur. Find his average rate fr the rund trip in miles per hur.
50
48
47
46 Answer: B
Hw many whle numbers between 1 and 500 are divisible by 6 but are nt divisible by 8?
83
73
63
53 Answer: C
What is the missing length in the diagram (which is nt drawn t scale)?
AB = 9, BC = 18, BD = 6, CE= ?
12
15
18
21 Answer: C
Ann says “I never lie.” Bb says “Ann is nt lying.” Carl says “Bb is lying.” Dan says “Carl is nt lying.” If Bb is lying, hw many f the ther three must be lying?
0
1
2
3 Answer: B
What is the prbability that, in its spelling (using all lwercase letters except the first ne), a randmly chsen day f the week uses the letter “u”?
2 7
3 7
4 7
5 7
Answer: C
If the average f
21999
and
22001
is equal t the number f pirates wh ever
lived n Treasure Island, then hw many pirates ever lived n Treasure Island?
A) 5 21998
B) 3 21998
C) 3 21999
D) 22000
Answer: A
After 5 tests, a student’s average was 80. After taking an examinatin which cunted as tw test grades, his average drpped t 76. What was his grade n that examinatin?
52
66
72
76 Answer: B
A 12-hur clck lses 10 minutes each day. The clck will first return t the crrect time in
36 days
72 days
120 days
144 days Answer: B
In the crrect additin belw, A, B, and C are 3 different nn-zer digits. Find the value f C.
AB
CC AAA
1
9
8
7 Answer: B
Tw cars are traveling in the same directin, ne at 40 km/hr and the ther at 50 km/hr. If the slwer car is 15 km ahead f the faster car, hw lng will it take the faster car t catch up with the slwer car?
60 minutes
75 minutes
80 minutes
90 minutes Answer: D
A man has a 10 m × 10 m square garden. In the center is a 2 m × 2 m square patch which he can nt use. He divides his usable space int fur cngruent rectangular patches, each f which measures
3 m × 3 m
8 m × 3 m
4 m × 6 m
2 m × 12 m Answer: C