 # Math Unit 7

Study Guide

Unit 7: Weight

Chapter 1- Examples of test questions:

• Strictly speaking, the kilogram is a unit of mass (a measure of the amount of matter in the object), not of weight ( a measure of the force of gravity on an object).  However, since we use the term weight in daily speech when weighing things, it will be used here.
• A quart (or liter) of water weighs about 1 kg.
• Four hundred pennies weigh about 1 kg.
• Two regular paper clips weigh about 1 gram.
• The unit cube in some base-10 sets weighs 1 gram.
• A teaspoon of water weighs 5 grams.
• A kilogram weighs 2.2 pounds, that is, a bit over two pounds.  A good estimate when given the weight of a person in kilograms, for someone used to pounds, is to double that weight.  A child who weighs 30 kilograms, would weigh about 60 pounds.
• 4 kg 78 g = _____ g
• 2 kg 2 g = _____ g
• 8731 g = ____ kg ___ g
• Arrange in order from lightest to heaviest and heaviest to lightest:
• 8731 g            7 kg 92 g               6 kg 821 g               3 kg
• A scale is drawn with items on top.  If the scale is broken into quarters like a clock face:
• 0 is at noon
• 1 kg would be at 3
• 2 kg would be at 6
• 3 kg would be at 9
• 4 kg would also be at noon
• between the numbers is a slightly longer line that represents half way
• Smaller lines represent individual kg
• An item is on the scale.  The mark is two lines past the 3 kg mark.  What is the weight of the item?
• Two scales side by side.  The weight of an apple is shown.  The other scale shows the weight of the apple with a banana.  Find the weight of the banana.
• Two items are labeled with weights: 4 kg 78 g and 9 kg 821 g.  What is the total weight of the two parcels?
• What is the difference in weight between the two parcels?
• Bag A weighs 8 kg 431 g.  It weighs 84 g less than Bag B.  What is the weight of Bag B in grams?
• Nicolas weighed the box at 52 kg 204g.  He put in a few more items and the box now weighs 58 kg.  How much weight did he add into the box?  ______ kg ____ g

Chapter 2- Examples of test questions:

• Chapter 2 focuses on Word Problems
• Unit bars are required to be drawn correctly for a point on the test.
• Comparison models may use two or more bars to represent the quantities being compared.
• Each part of equal value is called a unit.  For instance, if the first unit bar is work 20 and the second unit bar is 5 times as large, the second unit bar should have five units drawn and 20 written in each unit.
• The box weighs 4 kg 406 g.  The empty box weighs 512 g.  What is the weight of the items in the box?
• The container of fruit weighed 219 g.  What is the weight of 7 such containers?  Give your answer in kilograms and grams.
• Parcel A weighs 84 kg.  It is 2 times as heavy as Parcel B.  What is the weight of Parcel B?
• 9 similar bags of cat food weigh 634 kg.  How much does one bag of cat food cost?
• Two boxes weigh 69 kg.  One box weighs 52 kg 397 g.  What is the weight of the other box?
• The box of grapes weighs 4 kg 58 g.  The box of apples weighs 873 g more than the box of grapes.  What is the weight of the box of apples?
• Davis bought 8 cans of soda.  They weighed 782 g.  What was the weight of 3 such cans of soda?
• Nebyu’s dog weighs 94 kg.  His cat weighs 6 kg less than the dog.  The bird weighs 62 kg less than the cat.  What does the bird weigh?
• 7 kg 502 g of concrete mix was mixed with 793 g of sand.  How much more concrete must be added to make 9 kg of concrete?
• Emma sold 4 kg 189 g of flour on Day 1.  Day 2 she sold 8 kg 731 g.  Day 3 she sold 6 kg 392 g.  If 1 kg of flour cost \$6, how much did she earn in all?

Chapter 3- Examples of test questions:

• 1 kg weighs 2.205 pounds or 35.28 ounces.  1 ounce has a mass of 28.35 grams.  There are about 2 pounds in 1 kg.  A person who weighs about 80 pounds weighs about 40 kilograms.
• A quart of water weighs about 2 lbs
• A slice of bread, about 60 paper clips, 11 pennies, or 5 quarters weigh about one ounce.
• The abbreviation for pound, lb, comes from the Latin word libra, a unit of weight.
• 5 lb = ______ oz
• 7 lb 3 oz = ______ oz
• 78 oz = ___ lb ____ oz
• Add 7 lb 3 oz and 4 oz
• Subtract 7 lb 3 oz from 9 oz
• 8 apples weigh 640 oz.  One apple weighs _____ lb ____ oz
• A box of apples weighs 81 oz.  9 such boxes weigh _____ oz
• Separate scales for pounds and ounces both circular like a clock face:
• Ounces scale has 16 single marks.
• Each mark is 0 – 15
• 0 is at noon
• 8 is at 6 on the clockface
• Read the weight in ounces.
• An item is on the scale.  How much would 3 of the items weigh? _____ lb ____ oz
• Pound scale
• 0 is at noon
• 1 lb would be at 3
• 2 lb would be at 6
• 3 lb would be at 9
• 4 lb would also be at noon
• between the numbers is a slightly longer line that represents half way
• Smaller lines represent individual lb
• Read the weight as _____ lb ______ oz.
• A huge box of crayons weighed 4 lbs 7 oz.  Emily gave away 8 oz of crayons.  What was the weight of the remaining crayons?
• Samuel put his toy cars in three containers.  The first container weighs 7 lbs 3 oz.  The second container weighs 31 oz more than the first.  The third container weighs 2 lbs less than the second box.  What is the weight of the third box?
• Various items and weights are given in oz.  Find the weight of the items.  Give your answer in pounds and ounces.

Unit 7 Cumulative Test:

• Review all of Units 1 - 7