Name:
Date:
CHAPTER
1
Positive Numbers and
the Number Line
omplete
C
each number line by filling in the missing values.
1.
31
39
2.
75
37
51
Draw a horizontal number line from 1 to 2 to represent each set
of numbers.
© Marshall Cavendish International (Singapore) Private Limited.
3.
3
3
5
3
5
1
_
, 1_, 1_, 1_, 1_, 1_
2
3
4
6
8
8
4. 1.05, 1.25, 1.6, 1.85, 1.4, 1.55
Enrichment Course 1
MIF_Enrichment_Ch01.indd 1
1
4/20/11 9:44:53 PM
Name:
Date:
Solve. Show your work.
5. Mrs. Taylor is making identical costumes for the dancers in the dance club.
She uses 126 pink ribbons and 108 yellow ribbons.
a) What is the maximum possible number of costumes she can make?
b)
How many pink ribbons and how many yellow ribbons are on
each costume?
b)
2
How many roses, lilies, and hydrangeas are in each bouquet?
© Marshall Cavendish International (Singapore) Private Limited.
6. Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets.
Each bouquet has the same number of roses, the same number of lilies, and
the same number of hydrangeas.
a) What is the maximum possible number of bouquets he can make?
Chapter 1 Positive Numbers and the Number Line
MIF_Enrichment_Ch01.indd 2
4/20/11 9:44:53 PM
Name:
Date:
7. Mr. Baker has baked some muffins. If he packs them in boxes of 4, he will
have 3 left over. If he packs them in boxes of 5, he will also have 3 left over.
If he packs them in boxes of 6, he will have only 1 left over. Find the least
possible number of muffins Mr. Baker has baked.
© Marshall Cavendish International (Singapore) Private Limited.
8. Clark wants to give some baseball cards to his friends. If he gives 6 cards to
each of his friends, he will have 5 cards left. If he gives 8 cards to each of his
friends, he will need 7 more cards. How many friends is he giving the cards to?
Enrichment Course 1
MIF_Enrichment_Ch01.indd 3
3
4/20/11 9:44:54 PM
Name:
Date:
9. The Yogurt Store is celebrating its 30th anniversary. It is giving away a
$100 voucher to every 30th customer. The store is also celebrating the
opening of its 18th branch by giving away a coupon for a free small cup
of yogurt to every 18th customer. If The Yogurt Store has 500 customers,
how many customers will receive both a $100 voucher and a free small cup
of yogurt?
© Marshall Cavendish International (Singapore) Private Limited.
10. School A and School B are located across the street from each other. Both
schools start their first class at 7:40 A.M. The length of each class in School A
is 45 minutes. The length of each class in School B is 1 hour. The school bells
of both schools ring at the beginning of each class. When will the two bells
ring at the same time again after 7:40 A.M.?
4
Chapter 1 Positive Numbers and the Number Line
MIF_Enrichment_Ch01.indd 4
4/20/11 9:44:54 PM
Name:
Date:
11. Fiona is preparing egg and cheese sandwiches for a party. She needs one
egg, one slice of cheese, and two slices of bread for each sandwich.
The supermarket sells eggs in cartons of 12, cheese slices in packages of 10,
and bread in loaves of 15 slices. Fiona wants to buy as few of each item as
possible and does not want leftovers. How many cartons of eggs, packages
of cheese slices, and loaves of bread should Fiona buy?
© Marshall Cavendish International (Singapore) Private Limited.
12. The number 504 can be expressed as a product of its prime factors as
504 2 2 2 3 3 7.
a) Find the least number that, when multiplied by 504, will give a
perfect square.
b)
Find the least number that, when multiplied by 504, will give a
perfect cube.
Enrichment Course 1
MIF_Enrichment_Ch01.indd 5
5
4/20/11 9:44:54 PM
Name:
Date:
13.
Ben wants to decorate his bedroom wall with colored square tiles of the
same size. The area he wants to tile is a rectangle measuring 60 inches by
96 inches. He uses only whole tiles.
a) Find the greatest possible length of each side of a tile.
b)
Use the answer in a) to find the number of tiles Ben will need to
decorate the wall.
14.
Look at the first four lines of the pattern:
13 1 12
13 23 1 8 9 32
13 23 33 1 8 27 36 62
13 23 33 43 1 8 27 64 100 102
a)
Complete the fifth line of the pattern:
13 23 33 43 3
1 8 27 64 2
b)
Write the sixth line of the pattern.
c)
Which line of the pattern has the last number equal to 362?
d)
Use the pattern above to fill in the blanks.
13 23 33 . . . 3
1 8 27 . . . © Marshall Cavendish International (Singapore) Private Limited.
552
6
Chapter 1 Positive Numbers and the Number Line
MIF_Enrichment_Ch01.indd 6
4/20/11 9:44:54 PM