G5 Number System - Math and Science Olympiad trainer and online tutoring

G5 Number System

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1) The units digit of a 3-digit number is twice the tens digit, and the tens digit is twice the hundreds digit.
What is the smallest such number?

A) 482

B) 369

C) 248

D) 124

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2) What is the place value of 7 in the number 472,319?

A) 700,000

B) 7,000

C) 70,000

D) 700

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3) A 3-digit number has the sum of its digits as 12.
The number is divisible by 3, and the product of the digits is 24.
What is the number?

A) 156

B) 318

C) 237

D) 426

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4) A 3-digit number is divisible by 9.
The sum of its digits is 18, and the number is a perfect cube.
What is the number?

A) 216

B) 729

C) 512

D) 343

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5) A 4-digit number has all digits distinct.
The number is divisible by 8, and the sum of its digits is 18.
What is the number?

A) 3418

B) 8352

C) 1278

D) 4678

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6) What is the largest 3-digit number whose digits are all different and the sum of the digits is 10?

A) 910

B) 541

C) 730

D) 820

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7) How many hundreds must be subtracted from 78500 to get 8500?

A) 700

B) 7,000

C) 70

D) 70,000

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8) How many hundreds must be subtracted from 35219 to get 5219?

A) 300

B) 30,000

C) 3000

D) 30

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9) What is the sum of the digits of the smallest 4-digit number divisible by 11?

A) 3

B) 1

C) 4

D) 2

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10) A number is 2 less tha

Find the number using the given clues:

The number is the successor of a two-digit even number.
The number is a multiple of 3.
The sum of its digits is 9.

A) 63

B) 54

C) 42

D) 51

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11) A 4-digit number has all digits distinct.
The number is divisible by 7, and the difference between the largest and smallest digits is 6.
What is the smallest such number?

A) 1246

B) 1462

C) 1352

D) 1036

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12) A 3-digit number is divisible by 5, and the product of its digits is 120.
What is the number?

A) 645

B) 825

C) 384

D) 485

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13) A 4-digit number is divisible by 5.
The sum of its digits is 19, and the number is 1 more than a multiple of 6.
What is the number?

A) 5635

B) 3455

C) 6724

D) 4525

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14) What is the units digit of 9^4?

A) 9

B) 1

C) 7

D) 3

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15) A 3-digit number has digits in the ratio 2:3:4.
The number is divisible by 3.
What is the number?

A) 234

B) 448

C) 246

D) 692

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16) A number is formed by reversing the digits of 253.
What is the difference between the original number and the new number?

A) 297

B) 396

C) 99

D) 198

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17) A 2-digit number has digits whose difference is 3.
The number is 2 less than a multiple of 5, and the number formed by reversing its digits is divisible by 4.
What is the number?

A) 41

B) 52

C) 63

D) 74

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18) The product of two numbers is 48, and their sum is 14.
What is the larger number?

A) 8

B) 10

C) 12

D) 6

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19) The sum of the digits of a 4-digit number is 21.
If the number is divisible by 4 and the last digit is 8, what is the number?

A) 4528

B) 2748

C) 5638

D) 3458

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20) How many 2-digit numbers have a tens digit that is twice the units digit?

A) 4

B) 10

C) 5

D) 9

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