1) Show approximately where the following fractions are on the number line:
a) 18 b) 25 c)34 d) 17 e) 29 f) 48
2) Show following fractions on the number line:
a) 38 b) 19 c)1110 d) 178 e) 149 f) 218
3) Order following fractionsleast to greatest:
a) 1112 111120 10101200 b) 712 715 719
4) Compare following fractions pairs by using < , = , >
a) 512 35 b) 120 221 c) 45 910
5) Zane is looking in her closet. If 25 of her shoes are black and 23are brown, does she have more black shoes or more brown shoes. How do you know?
6) Add following fractions:
a) 112+712 b) 59+56 c) 37+58
d) 112+225 e) 9812+112 f) 256+178
7) Subtract following fractions:
a) 1140-340 b) 14-15 c) 318-234
d) 114-38 b) 9916-9815 c) 317-245
8) Estimate the following fractions by rounding each fraction to the nearest 0 12or 1.
a) 779+10810 b) 249-247 c) 5313 × 1911 d) 171112 ÷ 279
9) Daniel spends 37 of his money on rent and 49 of his money on food. Estimate his total rent and food expenses. Calculate his total monthly rent and food expenses. Compare the estimated result with the exact sum of the expenses.
10) Model the following fraction multiplication examples:
a) 45×16 b) 58×23 c) 28×36
11) Write and solve a multiplication problem for the models shown below:
a) b) c)
12) Write and solve a division problem for the models below:
a) b) c)
13) Model following fraction operations:
a) 1÷13 b) 134÷38 c)12÷56
14) Evaluate the following fraction operations:
a) 5 ×16 b)17 × 17 c) 12 × 56
d) 4 × 3 27 e)145 × 2 79 f)135 × 1 1213
15) Evaluate following fraction operations:
a) 9÷13 b)12÷112 c) 35÷815
d) 149÷1318 e) 412÷1116 f) 218÷324
16) A maple tree was 334 feet long whe it was firtst planted. It grew 1112 ft at the end of the first moth and 56 ft at the end of the second month. How tall is the maple tree after two months?
17) A carpenter has an 8 ft long wood piece. He cut off two 118 ft long pieces for a project. How long of the wood piece he has left?
18) Sneha has to write at 212 pages of essay. She wrote 123 pages so far. How much more does she need to write to finish the essay?
19) Raj, Sharon, and Amad are raking leaves for a fundraising project. Raj raked 345 bags, Sharon raked 238 bags, and Amad raked 312 bags of leaves. About how much leaves did they gathered all together.
20) An equilateral triangle has three equal sides. Given that one side measures 3½ inches , what is the perimeter of the triangle?
21) Isadora has110 cup of powdered sugar. She sprinkles 12 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Isadora sprinkle on the brownies?
22) Yesterday, Franklin's Snack Shack went through 12 of a bottle of ketchup. If they used 35 as much mustard as ketchup, about how many bottles of mustard did they go through?
23) Of the students in Lucia's class, 12 have a pet cat. Of the students who have a cat,13 also have a dog. What fraction of the students in Lucia's class have both a cat and a dog?
24) The total hours allotted for writing and verbal competition is 235 hours. The writing competition is allotted156 hours. About how many hours are allotted for the oral competition?
25) A factory uses12of a barrel of raisins in each batch of granola bars. Yesterday, the factory used25of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
26) James made13of a quart of hot chocolate. Each mug holds16of a quart. How many mugs will James be able to fill?
27) Evaluate following decimal operations:
a) b) c) (0.25 + 0.5 + 0.062)
d) e) f)
g) h) j)
28) Billie runs daily as part of an exerciseplan. On Sunday she ran 8.3 miles,on Monday 5.1 miles, on Tuesday 5.75miles, on Wednesday 5.6 miles, onThursday 4.25 miles, and 6 miles onSaturday. How many miles did she runthis week?
29) Knowing that 2.077 m³ air weighs 2.7 kg, calculate how much 1 m³ of air weighs.
30) In a well filled with water, 14.5 gallons are removed every hour. How many gallons of water will be removed after 1.25 hours?
31) Of 100 children in 6th grade 34 of them have pets; 40 children have a dog; 18 children have a cat. How many children have other kinds of pets?
32) Aditi says “I would rather have 5 9 of $72 than 4 6 because I will get more to spend.” Is she correct?
33) 3500 tickets were sold during the Sachin Tendulkar’s last cricket game. 2 5 of the tickets were sold to government officials and 3 7 of the tickets were sold to celebrities. How many tickets were sold to general public?