Matthew and Courtney have
coins altogether. Courtney has
fewer than twice as
many coins as Matthew. How many coins do they each have?
a. Matthew has 30 coins. Courtney has 56 coins.
b. Matthew has 20 coins. Courtney has 36 coins.
c. Matthew has 50 coins. Courtney has 96 coins.
d. Matthew has
coins. Courtney has
coins.
e. None of the above
[Ques. 2] Pam has 71 beads. She has four fewer than five times as many beads as Amy. How many beads does Amy have?
a. 10
b. 16
c. 11
d. 9
e. 15
[Ques. 3] Fred has three times as many stamps as Mark. Fred has 45 stamp. How many stamps does Mark have?
a. 9
b. 18
c. 45
d. 27
e. 15
[Ques. 4] Write a word problem such that the answer is given algebraic expression.
a. Ken has eleven more stamps than Lana.
b. Ken has four more stamps than Lana. c.
Ken has nine more stamps than Lana. d.
Ken has five more stamps than Lana. e.
Ken has ten more stamps than Lana.
[Ques. 5] Veronica has
more than
times as many pencils as Cory. Write a variable expression to represent the relationship.
a. If Cory has
c pencils. Then Veronica has
c +
pencils.
b. If Cory has
c pencils. Then Veronica has
c +
pencils.
c. If Veronica has
c pencils. Then Cory has
c +
pencils.
d. If Veronica has
c pencils. Then Cory has
c +
pencils.
e. None of the above
[Ques. 6] Think of a number. Multiply the number by 7. Add 6 to the result. Divide the result by 3. Square the result. The result is 529. What is the number?
a. 12
b. 6
c. 15
d. 9
e. 18
[Ques. 7] Zed and Iggy are two snails who like to race. Zed crawls at a rate of 6 cm per hour, while Iggy crawls at a rate of 8 cm per hour. Zed is slower and got a 35-cm head start. If the race were 110 cm, who would win the exciting snail race?
Zed and Iggy are two snails who like to race. Zed crawls at a rate of 6 cm per hour, while Iggy crawls at a rate of 8 cm per hour. Zed is slower and got a 35-cm head start. If the race were 110 cm, who would win the exciting snail race?
[Ques. 8] What is the minimum number of cards you need to select from a shuffled deck of 52 ordinary playing cards to guarantee you selected
(a) five cards with the same suit?
(b) six cards with the same suit?
(Hint: Remember, there are four suits: hearts, diamonds, spades, and clubs.)
a.
(a) 17 cards
(b) 17 cards
b.
(a) 17 cards
(b) 21 cards
c.
(a) 21 cards
(b) 17 cards
d.
(a) 21 cards
(b) 21 cards
e.
None of these
[Ques. 9] A carpenter needs to cut a 20-foot piece of wood into two pieces. One piece must be 6 feet longer than the other piece. Find the lengths of the two pieces.
a. 7 and 15 ft
b. 9 and 13 ft
c. 7 and 13 ft
d. 7 and 17 ft
e. 11 and 13 ft
[Ques. 10] A video store charges 3.50 to rent a DVD. Every fourth DVD that a customer rents is free. Brooke paid a total of 289.50 last year for renting DVDs. How many free DVDs did she receive?
a. 24 videos
b. 20 videos
c. 21 videos
d. 22 videos
e. 23 videos