Deck 3: Understanding Addition and Subtraction

Question 1

Add: ​ 18,120 + 46,790 ¯¯¯¯¯¯ ¯

A) 28,670
B) 63,810
C) 65,910
D) 64,910
E) 64,810

Answer 1

64,910

Question 2

Solve the following riddle. ​ The number of digits is the same as the number in the hundreds place. The sum of the digits is 17. All the digits are different. The digits are in increasing order. ​

A) 467
B) 458
C) 386
D) 368
E) 358

Answer 2

368

Question 3

Finish the following addition problem, which has been done in expanded form. ​ 6 4 4 = 6 hundreds + 4 tens + 4 ones + 2 3 3 = 2 hundreds + 3 tens + 3 ones ​ ​

A) 857 = 8 hundreds + 5 tens + 7 ones
B) 867 = 8 hundreds + 6 tens + 7 ones
C) 877 = 8 hundreds + 7 tens + 7 ones
D) 777 = 7 hundreds + 7 tens + 7 ones
E) 876 = 8 hundreds + 7 tens + 6 ones

Answer 3

877 = 8 hundreds + 7 tens + 7 ones

Question 4

Add: 15,679 + 2,342 + 19 . ​

A) 18,140
B) 18,040
C) 18,050
D) 17,930
E) 18,030

Question 5

Solve the following riddle. ​
I have 224 cents and 25 coins. I have the same number of quarters as pennies. Each type of coin worth less than 50 cents is used. What are the coins? ​

A) 6 quarters, 8 dimes, 12 nickels, and 6 pennies
B) 4 quarters, 7 dimes, 10 nickels, and 4 pennies
C) 5 quarters, 8 dimes, 12 nickels, and 5 pennies
D) 5 quarters, 7 dimes, 10 nickels, and 5 pennies
E) 4 quarters, 8 dimes, 12 nickels, and 4 pennies

Question 6

Add: ​ 702 + 68 ¯¯¯¯¯

A) 780
B) 770
C) 769
D) 634
E) 760

Question 7

When Joe wakes up in the morning, the clock is blinking and says 3: 15 . His watch says 6: 50 . When did the power go off? ​

A) 12: 35
B) 12: 15
C) 3: 35
D) 3: 15
E) 3: 50

Question 8

Add: ​ 925 + 519 ¯¯¯¯¯

A) 1,444
B) 1,434
C) 406
D) 1,344
E) 1,544

Question 9

Find the base x for which the following statement is true. ​ ​

A) 7
B) 6
C) 9
D) 10
E) 8

Question 10

Add: ​ 27 + 36 ¯¯¯¯¯

A) 53
B) 73
C) 9
D) 2,736
E) 63

Question 11

Add: 7,940 4,008 + 2,622 ¯¯¯¯¯¯

A) 15,570
B) 14,570
C) 13,470
D) 13,560
E) 14,580

Question 12

Add: 726 874 + 958 ¯¯¯¯¯¯

A) 2,558
B) 2,658
C) 2,458
D) 2,568
E) 2,448

Question 13

Add: ​ 75,539 77,731 + 93,425 ¯¯¯¯¯¯¯

A) 245,595
B) 246,695
C) 256,795
D) 247,794
E) 245,684

Question 14

I have 10 coins consisting of quarters, dimes and nickels. There are 2 more nickels than quarters. I have twice as many dimes as nickels. How much money do I have? ​

A) $1.00
B) $1.20
C) $1.15
D) $1.25
E) $1.60

Question 15

Place the digits 2 , 3 , 4 , 5 , 6 , 7 into the boxes below to obtain the least sum. ​

A) 603
B) 1305
C) 1395
D) 873
E) 333

Question 16

Choose among the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to make the sum equal 230. You may use each digit only once. ​

A) 112 + 55 230
B) ​ 872 + 58 230
C) ​ 162 + 48 230
D) ​ 177 + 58 230
E) ​ 172 + 58 230

Question 17

Solve the following riddle. ​ I am thinking of a 4-digit number. The sum of the digits is 25. The largest digit is used twice but not side by side. The smallest digit is in the largest place. The smallest digit is 1/3 as large as the largest digit. ​

A) 4939
B) 3994
C) 3499
D) 3939
E) 3949

Question 18

Place the digits 2 , 3 , 4 , 5 , 6 , 7 into the boxes below to obtain the largest sum. ​

A) 603
B) 1495
C) 1197
D) 1305
E) 1395

Question 19

Determine the missing numbers that will complete the following addition problem. ​ 4_ _4 ₆ + 35 _ ₆ = 1064 ₁₀ ​

A) 1 , 3 , and 4
B) 0 , 4 , and 3
C) 2 , 3 , and 5
D) 1 , 4 , and 3
E) 1 , 3 , and 5

Question 20

Solve the following riddle. ​ I am thinking of a 4-digit number. The sum of the digits is 15. Starting from left, the third digit is double the first and the fourth is double the second. All the digits are different. ​

A) 2539
B) 1428
C) 1424
D) 2482
E) 1248

Question 21

The beginning balance of the checkbook below is $ 620 . What will the balance be after checks 233-238 clear the bank? ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

A) $ 58
B) $ 50
C) $ 95
D) $ 477
E) $ 103

Question 22

If GCF( f , e ) = e , then LCM( f , e ) = ? ​

A) 2 e
B) e
C) 2 f
D) e + f
E) f

Question 23

Joanna was driving from Fresno to Bakersfield. Because it was a business meeting, she would be reimbursed for her mileage. When she left Fresno, she noted that her odometer said 64,157 . Unfortunately, she forgot to check her odometer in Bakersfield. However, on the way home, she saw a sign that said she was 24 miles from Fresno. At that point, her odometer said 64,257 . She now had enough information to determine the distance from Fresno to Bakersfield. How far is it?

A) 124 miles
B) 50 miles
C) 76 miles
D) 62 miles
E) 100 miles

Question 24

Subtract: ​ 76 - 30 ¯¯¯¯¯¯

A) 45
B) 47
C) 57
D) 46
E) 56

Question 25

Estimate the following difference by rounding. ​ ​

A) about 23,000,000
B) about 31,000,000
C) about 21,000,000
D) about 16,000,000
E) about 19,000,000

Question 26

Subtract. ​ ​

A)
B)
C)
D)
E)

Question 27

Determine the missing numbers that will solve the following subtraction problem. ​ 3_2_ ₅ - 441₅ = 340 ₁₀ ​

A) 4 and 2
B) 3 and 1
C) 1 and 3
D) 3 and 2
E) 4 and 1

Question 28

Subtract: 232 - 21 . ​

A) 211
B) 212
C) 200
D) 201
E) 210

Question 29

If d and y are relatively prime, then the LCM( d , y ) = ? ​

A) 2 d
B) 2 dy
C) dy
D) d
E) y

Question 30

Subtract: ​ 1,278 - 835 ¯¯¯¯¯¯

A) 432
B) 443
C) 543
D) 453
E) 544

Question 31

Subtract: 32 - 14. ​

A) 29
B) 18
C) 19
D) 17
E) 8

Question 32

Subtract: 5534 - 3111. ​

A) 2434
B) 8645
C) 2423
D) 3523
E) 2533

Question 33

Place the digits 1, 2, 3, 8 , and 9 in the boxes to obtain the greatest difference. You can only use each digit once. ​

A) 926
B) 962
C) 881
D) 1069
E) 971

Question 34

Choose among the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to make the difference 135. You can use each digit only once. ​ ​

A) 186 - 479 135
B) ​ 814 - 979 135
C) 844 - 679 135
D) 914 - 786 135
E) ​ 814 - 679 135

Question 35

Subtract: 5773 - 121. ​

A) 5642
B) 5663
C) 5641
D) 5652
E) 5894

Question 36

Place the digits 1, 2, 3, 5 , and 6 in the boxes to obtain the least difference. You can only use each digit once. ​ ​

A) 58
B) 133
C) 76
D) 45
E) 73

Question 37

I left my house at 6 : 40 P.M. and arrived at 10 : 20 P.M. How long did the trip take me? ​

A) 4 hours and 20 minutes
B) 3 hours and 40 minutes
C) 16 hours and 40 minutes
D) 15 hours and 20 minutes
E) 4 hours and 40 minutes

Question 38

Subtract: ​ 9973 - 5570 ¯¯¯¯¯¯

A) 4503
B) 4414
C) 5403
D) 4403
E) 4293

Question 39

Find the difference between 5666 and 4324.

A) 1242
B) 1342
C) 1347
D) 1352
E) 1331

Question 40

Find the difference in the given base. ​ ​

A) 4 3 3 ₈
B) 3 3 3 ₈
C) 345 ₈
D) 4 2 3 ₈
E) 3 2 3 ₈

Question 41

Find the temperature after a rise of 10 ºС from - 11 ºС . ​

A) 21 ºС
B) -21 ºС
C) -20 ºС
D) -22 ºС
E) -1 ºС

Question 42

A temperature measurement from the Earth's stratosphere is taken as - 68 ° F . The temperature on the Earth's surface below is found to be 40 ° F . Find the difference between the surface temperature reading and the stratosphere temperature reading. ​

A) 108 ° F
B) -28 ° F
C) -29 ° F
D) 29 ° F
E) 28 °F

Question 43

Subtract: ​ ​

A)
B)
C)
D)
E)

Question 44

The GCF of two numbers m and n is 32 , their LCM is 64 , and both m and n are less than 79 . Find m and n. ​

A) m = 32 and n = 64
B) m = 37 and n = 128
C) m = 32 and n = 128
D) m = 64 and n = 59
E) m = 64 and n = 64

Question 45

The Crabby Apple restaurant lost $2000 in the month of January. If their net worth at the end of the month is -$200, what was their net worth at the beginning of the month? ​

A) $2200
B) -$2200
C) -$2000
D) $200
E) $1800

Question 46

The GCF of 114 and x is 38; the LCM of 114 and x is 228. Find x . ​

A) x = 71
B) x = 152
C) x = 722
D) x = 76
E) x = 80

Question 47

Two mechanical shafts are joined together at their ends. Together, their total length is ft. If one shaft is ft long, how long must the other shaft be? ​

A) ft
B) ft
C) ft
D) ft
E) ft

Question 48

Using Pattern Blocks, if hexagon + triangle = , then what is the value of trapezoid? ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 49

The GCF of two numbers is 21 . Their LCM is 357 . What are the two numbers? ​

A) 21 and 357
B) 19 and 355
C) 42 and 355
D) 22 and 358
E) 42 and 714

Question 50

Fred has 6-gallon tanks and George has 5-gallon tanks. They both purchased the same amount of gasoline to fill their tanks. What is the smallest amount of gasoline they could have purchased? ​

A) 12 gallons
B) 60 gallons
C) 90 gallons
D) 30 gallons
E) 10 gallons

Question 51

During a card game of Hearts, Nick had a score of 25 points before his opponent "shot the moon," subtracting a score of 26 from Nick's total. What was Nick's score after his opponent "shot the moon"? ​

A) -51
B) 51
C) -1
D) 50
E) 1

Question 52

Use each of these numbers exactly once to make the following equation true: 1, 2, 3, 5, 44 , 60 . Answers may vary. ​ ​

A)
B)
C)
D)
E)

Question 53

Find the least common multiple (LCM) of the numbers 12, 16, 14. ​

A) 168
B) 12
C) 2
D) 1
E) 336

Question 54

Sam was told by the doctor that he had to lose about 40 pounds. Six weeks ago he weighed 190 pounds. Below is a weekly record of his progress. How much does he weigh now? ​ ​ ​

A) 179 pounds
B) 181 pounds
C) 173 pounds
D) 150 pounds
E) 170 pounds

Question 55

A plane flying at its maximum speed can go 220 miles per hour with a tailwind or 160 miles per hour into a headwind. What is the wind speed? ​

A) 30 miles per hour
B) 35 miles per hour
C) 160 miles per hour
D) 60 miles per hour
E) 25 miles per hour

Question 56

Find the least common multiple (LCM) of the numbers 12 , 16 . ​

A) 48
B) 4
C) 1
D) 12
E) 192

Question 57

The elevation, or height, of places on Earth is measured in relation to sea level, or the average level of the ocean's surface. The table below shows heights above sea level as a positive number and depth below sea level as a negative number. Find the difference in elevation between Mt. Everest and the the Dead Sea .

A) -9360 m
B) -9260 m
C) 9360 m
D) 9261 m
E) 9258 m

Question 58

A plane flying at its maximum speed can go 250 miles per hour with a tailwind or 160 miles per hour into a headwind. What is the plane's maximum speed with no wind? ​

A) 160 miles per hour
B) 125 miles per hour
C) 45 miles per hour
D) 250 miles per hour
E) 205 miles per hour

Question 59

Add: - 20 + (- 8 ) ​

A) 12
B) -12
C) 28
D) -29
E) -28