Work Place and Apprenticeship 10
Final Review
Part Two
Units 4-6
Name:______
January 2011
That is why we review!!!
Chapter 4 Mass, Temperature, and Volume
WORKING WITH TEMPERATURE
1. Firefighters can estimate the temperature of a burning fire by the colour of its flame. A clear orange flame has a temperature of about 2190°F. How hot is this in degrees Celsius?
2. The normal temperature for a dog is from 99°F to 102°F. Ashley’s dog has a temperature of 40°C. Convert the temperature to Fahrenheit to calculate if it falls within the normal range.
WORKING WITH WEIGHT
3. Rochelle gave birth to twin boys weighing 6 lb 5 oz and 5 lb 14 oz. What was their total weight?
4. The weight of water is approximately 2 pounds 3 ounces per litre. How much will 8 litres of water weigh?
5. An elevator has a maximum load restriction of 1.5 tons. Is it safe for two tile layers weighing 195 lb and 210 lb to load it with 65 boxes of tile weighing 42 lb each?
6. 6. Kurt is planting wheat at the rate of 90 pounds per acre. If he plans to plant 320 acres of wheat, how many tons of wheat will he use?
7. An 18-oz jar of peanut butter costs $3.29, a 28-oz jar costs $4.79, and a 2.5-lb jar costs $5.99. Which is the best buy?
8. About 200 cocoa beans are used to make 1 lb of chocolate. Beans are shipped in 200-lb sacks, which contain about 88 000 beans. How many 1.5-oz chocolate bars can be made from one sack of beans?
9. Mark bought 8 bags of sand, each weighing 25 lb, for $1.68/bag. One bag ripped and he lost all the sand. What was his true price per pound of sand?
WORKING WITH SI UNITS OF MASS
10. What is the total weight of a loaded truck if the truck weighs 2.6 tonnes and it is loaded with 15 skids of boxes that weigh 210 kilograms each? Give your answer in tonnes.
WORKING WITH MASS/WEIGHT CONVERSION BETWEEN IMPERIAL AND SI
11. A recipe calls for 180 g of flour. How much is this in ounces?
12. A baby weighed 7 pounds 12 ounces at birth. How much did it weigh in grams?
13. The dosage of a certain medicine is 0.05 mg/kg of weight. Tom weighs 185 lbs.
a) How many milligrams of the medicine should he take?
b) If the medicine costs $1.95/mg, what will his dosage cost?
14. Karen is making a batch of potato soup. She needs 8 potatoes, and each potato weighs about 375 g. How many pounds of potatoes does she need?
WORKING WITH CONVERSIONS BETWEEN MEASURES OF VOLUME AND WEIGHT
15. If Jore gets $195.76 per metric ton for wheat, how much does he earn per bushel (conversion factor 36.744 bu/t)?
16. How many tonnes of rye are there is 900 bushels if there are 39.368 bushels/tonne?
WORKING WITH CONVERSION BETWEEN SI AND IMPERIAL UNITS OF WEIGHT
1 lb ≈ 0.45 kg
1 oz ≈ 28.3 g
1 tn ≈ 0.9 t
17. A crane can lift a maximum of 5 t. Sandstone weighs about 150 lb per cubic foot, and a container contains 70 cubic feet of sandstone. Can the crane be used to load the container onto a train?
Chapter 5 Angles and Parallel Lines
1. Given each of the following angles, determine the size of the complement and/or the size of the supplement (if they exist).
a) 75°
b) b) 43°
c) c) 103°
d) d) 87°
e) e) 300°
2. The complement of an angle is 0°.
a) What is the size of the angle?
b) What is the size of the supplement of the angle?
WORKING WITH ANGLE BISECTORS
3. An angle is bisected. Each resulting angle is 78°. How big was the original angle?
4. Calculate the size of the indicated angles. Name as many pairs of complementary and supplementary angles as possible.
WORKING WITH ANGLES FORMED BY INTERSECTING LINES
5. In the following diagram, identify each of the following, and specify which lines and transversals you are using.
a) an interior angle on the same side of the transversal as ∠6
b) an angle corresponding to ∠2
c) an angle corresponding to ∠4
d) an alternate interior angle to ∠4
6. In the diagram below, identify the relationship between each pair of angles.
a) ∠7 and ∠8
b) ∠2 and ∠7
c) ∠1 and ∠6
d) ∠5 and ∠7
WORKING WITH ANGLES FORMED BY PARALLEL LINES INTERSECTED BY A TRANSVERSAL
7. Consider the diagram below, in which ℓ1 is parallel to ℓ2. What are the measures of the three indicated angles? Explain how you reached your answers.
8. If ℓ1 and ℓ2 are parallel and are intersected by transversals t1 and t2, what are the measures of the indicated angles? Solve for the measures in the given order, stating your reasoning.
9. Examine the following diagram. By how many degrees do the studs need to be moved in order to be parallel to each other? What direction do they need to move in? (The studs are indicated by the capital letters.)
Chapter 6 Similarity of Figures
WORKING WITH SIMILAR FIGURES
1. If ΔRST is similar to ΔLMN and angle measures of ΔLMN are as follows, what are the angle measures of ΔRST?
∠L = 85°
∠M = 78°
∠N = 17°
2. If ΔABC is similar to ΔXYZ and the following angle measures are known, what are the values of the remaining angles?
∠A = 32°
∠C = 48°
∠Y = 100°
3. Two triangles are similar. One has sides of 8 m, 5 m, and 6 m. If the longest side of the second triangle is 5 m, what are the lengths of the other two sides?
WORKING WITH SIMILAR POLYGONS
4. One cylinder has a radius of 25 cm and a height of 35 cm. Another cylinder has a radius of 30 cm and a height of 40 cm. Are the cylinders similar? Show your calculations.
5. The scale on a map is 2.5 cm:500 m.
a) What distance is represented by a 12.5-cm segment on the map?
b) How long would a segment on the map be if it represented 1.5 km?
WORKING WITH SIMILAR TRIANGLES
6. In each of the diagrams below, ΔABC is similar to ΔXYZ. Find the length of the indicated side (to one decimal place).
7. Given that ΔABC in similar to ΔRST, AB is 6 cm long, BC is 5 cm long, and RS is 8 cm long, find the length of a second side in ΔRST. Can you find the length of the third side? Explain your answer.
8. Assuming that the slope of a hill is constant, and that a point 100 metres along the surface of the hill is 4.2 metres higher than the starting point, how high will you be if you walk 250 metres along the slope of the hill?
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