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Question

Dear Mitch,

Last year you posted some really good questions for middle school and high school students for the Easter and Passover holidays.  My classes really enjoyed working on them.

Well, time flies, as they say, and those very same holidays are upon us again.

So, would you  please consider posting another bunch of problems with this holiday theme that would be good for both middle school kids and high school kids? 

Thank you,

Mrs. G.

Greenwich, Connecticut

Answer

Dear Mrs. G, of Greenwich, Connecticut,

Sure!

(And, in case you are wondering why we've only been responding to our emailed questions via private emails and not posting any on our site, as many recent letter-writers have wondered, we've been busy taking things 'on the road,' lecturing and giving presentations to various school boards and communities along the Eastern seaboard, presenting new ways to teach-and-learn math and writing, and other basic skills in ways that seem to reawaken people's excitement; now we're back and revitalized!)

So here they are.  And, as determined by a flip of a coin, we're presenting this year's Easter questions first, followed by all-new Passover-themed versions of the exact same questions.

EASTER QUESTIONS:

1) One year, Ester awoke on Easter morning to discover it was snowing.  (This was highly unusual where she lived, which was Florida). Worried that her grandma, who lived 10 miles away and had planned on walking to Ester's house for Easter Day brunch, might arrive late, Ester stared out her window and observed that the snow was falling at a rate of 1/3 inch per 24 minutes. 

Looking at her watch, Ester wondered how much snow would fall in the two hours before her grandma would begin her walk.  Can you help Ester figure out how much snow will fall in 2 hours at 1/3 inch per 24 minutes?

A) 3/4 inch

B) 1 inch

C) 1 1/2 inch

D) 1 2/3 inch

E) 2 1/4 inch

 

2) In each box of 12 Easter eggs, exactly 3 are colored red. If there are 64 boxes of Easter eggs in each case, how many red Easter eggs are there in 10 cases?

A) 40

B) 160

C) 192

D) 1,920

E) 7,680

 

3) Sixty percent of a class goes on a field trip to the Easter parade.  If twelve students don't go to the parade, how many students are in the class?

A) 20

B) 24

C) 30

D) 36

E) 48

 

4) As part of a special Easter promotion, customers receive one free Easter cupcake with every five they buy.  Jenn-Lao-Whoa-Greengil buys only Easter cupcakes and leaves the store with a total of 30 of them.  If she spent $75.00, how many dollars does each Easter cupcake sell for?

A) 25

B) 20

C) 9. 

D) 6

E) 3

 

5) Making a necklace for her grandmother for an Easter present, Denise strings tiny toy eggs in the following order: Gold, Pink, White, Red, Beige, Purple, Silver.  What is the color of the 83rd toy egg she strings onto the necklace?

A) gold

B) pink

C) red

D) purple

E) silver

 

6) Every Easter, Jan and her sister Jen play a game of checkers.  Over the years, Jen won 25 games and lost 8. What is the ratio of the number of games Jen won to the number of games the sisters played?

A) 25:58

B) 58:25

C) 25:33

D) 33:25

E) 33:58

 

7) The Grud family traveled in their car from their house to the church on Easter Sunday at an average speed of 40 miles per hour, and then, realizing they'd forgotten to leave out food for their beloved dog, Barkey, immediately traveled back from the church to their house at an aveage speed of 60 miles per hour.  What was their car's average speed for the round-trip in miles per hour?

A) 45

B) 48

C) 50

D) 52

E) 54

 

8) In how many different ways can 6 people arrange themselves in a row of 6 seats at an Easter show if 2 people insist on sitting in an end seat?

A) 24

B) 36

C) 48

D) 120

E) 720

 

9) If Jack collects only red Easter eggs and purple Easter eggs at a party, and he ends up with a collection whose ratio is 3:4, red eggs to purple eggs, how many Easter eggs could be the total number of Easter eggs he has accumulated?

A) 74

B) 75

C) 76

D) 77

E) 78

 

10) At an Easter Day party, 2/3 of the guests drank only juice, 1/4 of the guests drank only soda, and no guest drank both juice and soda.  If the remaining 5 guests had nothing to drink, then how many guests were at the party?

A) 2

B) 30

C) 45

D) 50

E) 60

 

Now, here, as promised, are Passover-themed versions of the exact same problems:

1) One year, Ester awoke on Passover morning to discover it was snowing.  (This was highly unusual where she lived, which was Florida). Worried that her grandma, who lived 10 miles away and had planned on walking to Ester's house for the first night of Pesach, might arrive late, Ester stared out her window and observed that the snow was falling at a rate of 1/3 inch per 24 minutes. 

Looking at her watch, Ester wondered how much snow would fall in the two hours before her grandma would begin her walk.  Can you help Ester figure out how much snow will fall in 2 hours at 1/3 inch per 24 minutes?

A) 3/4 inch

B) 1 inch

C) 1 1/2 inch

D) 1 2/3 inch

E) 2 1/4 inch

 

2) In each box of 12 assorted pieces of matzoh, exactly 3 are egg matzoh. If there are 64 boxes of matzoh in each case, how many pieces of egg matzoh are there in 10 cases?

A) 40

B) 160

C) 192

D) 1,920

E) 7,680

 

3) Sixty percent of a class goes on a historical field trip to one of the first homes in the United States to have a Passover seder.  If twelve students don't go on the trip, how many students are in the class?

A) 20

B) 24

C) 30

D) 36

E) 48

 

4) As part of a special Passover promotion, customers receive one free quart of matzoh ball soup with every five they buy.  Jenn-Lao-Whoa-Greenstein buys only quarts of matzoh ball soup and leaves the store with a total of 30 of them.  If she spent $75.00, how many dollars does each quart of matzoh ball soup sell for?

A) 25

B) 20

C) 9

D) 6

E) 3

 

5) Making a necklace for her grandmother for an Passover present, Denise strings tiny toy matzoh balls in the following order: Gold, Pink, White, Red, Beige, Purple, Silver.  What is the color of the 83rd toy matzoh ball she strings onto the necklace?

A) gold

B) pink

C) red

D) purple

E) silver

 

6) Every Passover, Jan and her sister Jen play a game of checkers.  Over the years, Jen won 25 games and lost 8. What is the ratio of the number of games Jen won to the number of games the sisters played?

A) 25:58

B) 58:25

C) 25:33

D) 33:25

E) 33:58

 

7) The Grud family traveled in their car from their house to their cousin's house at an average speed of 40 miles per hour, and then, realizing they'd forgotten to leave out food for their beloved dog, Barkey, immediately traveled back from their cousin's house to their own house at an aveage speed of 60 miles per hour.  What was their car's average speed for the round-trip in miles per hour?

A) 45

B) 48

C) 50

D) 52

E) 54

 

8) In how many different ways can 6 people arrange themselves in a row of 6 seats on one side of the larger table at their Bubi's house for their Passover seder if 2 people insist on sitting in an end seat?

A) 24

B) 36

C) 48

D) 120

E) 720

 

9) If Jack collects Passover stories from English and Hebrew newspapers, and he ends up with a collection whose ratio is 3:4, English Passover stories to Hebrew Passover stories, how many Passover stories could be the total number of Passover stories he has accumulated?

A) 74

B) 75

C) 76

D) 77

E) 78

 

10) At a Passover seder, 2/3 of the guests drank only wine, 1/4 of the guests drank only grape juice, and no guest drank both wine and grape juice.  If the remaining 5 guests had nothing to drink, then how many guests were at the seder?

A) 2

B) 30

C) 45

D) 50

E) 60

Hope you and your classes enjoy solving these holiday problems!

Happy holidays,

Mitch