Math Experience Level AA (part 1) Name. 2. This bar graph shows David's savings for five months.

Transcription

1 Math Experience Level AA (part 1) Name 1. Add or subtract: (a) (b) (c) (d) This bar graph shows David's savings for five months. Use the graph to answer the following questions. (a) David saved in August. (b) He saved the least money in. (c) In he saved twice as much as in November. (d) He saved more in October than in July.

2 3. Add and subtract: (a) (b) (c) (d) (e) (f) $4.65 +$2.85 (g) $ $2.75 (h) Fill in the blanks: (a) 2 x 4 = (b) 5 x 3 = (c) 9 x 2 = (d) 14 2 = (e) 27 3 = (f) 3 1 = (g) 16 2 = (h) 5 x 5 = (i) 3 x 7 = (k) 8 x 10 = (m) 6 x 4 = (o) 45 5 = (q) 5 x 8 = (j) 28 4 = (l) 35 5 = (n) 5 x 1 = (p) 40 4 = (r) 10 x 10 =

3 5. Solve: (a) 281 x 4 (b) 864 x 8 (c) 306 x 7 (d) 3.85 x 9 (e) 4)99 (f) 8)488 (g) 7)803 (h) 9)0.207

4 Mathematics Experience BA (part 2) Name Fractions 6. What fraction of this shape is shaded? (a) 7. Arrange the fractions in order, beginning with the smallest.,,, 8. Find the missing numerator or denominator. (a) 9. Circle the larger fraction. (a)

5 10. Find the common factors of 15 and Express as a mixed number in its simplest form. 12. Give each answer in its simplest form. (a) (c) (e)

6 13. The rectangle and the square have the same perimeter. Find their areas. (a) The area of the rectangle is. (b) The area of the square is. 14. Find the volume of this box. (a)

7 Mathematics Experience CA (part 3) Name Read Teacher Mary used 4 eggs to bake a cake and 2 eggs to bake cookies. How many eggs did she use? She used eggs. Read Teacher There are 6 red and blue balls. 3 of them are red. How many are blue? There are blue balls. 15. After giving away 7 marbles, Peter has 22 marbles left. How many marbles did Peter have at first? Peter has marbles.

8 16. Mary has $70. She wants to buy 2 dresses. One costs $40, and the other costs $39. (a) How much do they both cost? They cost $. (b) How much more money does she need? She needs $ more 17. Mrs. Smith bought 5 hamburgers for her children. Each hamburger cost $2. How much did she spend altogether? x = She spent $ altogether. 18. Mr. Chen has a rope 18 m long. He cuts it into equal pieces. Each piece is 2 m long. How many pieces of rope did he cut? He cut pieces.

9 19. Mrs. Merry had 197 stickers. She gave 7 stickers to each of the students in her class. (a) How many students did she have? (b) How many stickers were left over? Peter, Paul, and Mary shared a pizza. Peter and Paul each 20. had of the pizza. How much pizza did Mary have? 21. Mary made 465 rolls. She gave away 15 rolls and sold the rest at 6 for $1. How much money did she receive?

10 22. A melon is 5 times as heavy as an orange. If the orange weighs 450 g, find the weight of the melon. Give your answer in kilograms and grams. 23. String A is 85 cm long. String B is twice as long. String C is 30 cm shorter than string B. How long is string C? Give your answer in meters and centimeters. 24. of the children in a club are girls. (a) What fraction of the children are boys? (b) If there are 24 boys, how many children are there altogether? (c) How many more boys than girls are there?

11 Mathematics Experience DA (part 4) 1. Find the value of (a) (b) x (c) 48 (10-4) x 100 (d) 12 + (10 + 2) (6 x 2) Solve. (a) 5492 x 98 (c)

12 3. Express in its simplest form. (a) (b) (c) (d) 4. Find the equivalent measures. (a) (c) kg = g m = cm (b) (d) kg = g m = cm 5. (a) What fraction of $2 is 75? 6. (a) Express 8 months as a fraction of 2 years. 7. Express the ratio 16 : 20 in its simplest form. 8. Write the missing number 30 : = 6 : 3

13 9. Find the unknown marked angles. (a) (b) 10. A pole, 135 cm long, is painted red, white, and blue in the ratio 3 : 4 : 2. What length of the pole is painted white? 11. Peter spent of his money on a toy car and of the remainder on a toy boat. He had $6 left. How much money did he spend altogether?

14 12. The area of the rectangle is the same as the area of the triangle. Find the perimeter of the rectangle. 13. Abraham, Joseph, and David have 256 marbles altogether. The ratio of Abraham's marbles to Joseph's marbles is 4 : 3. Joseph has 14 more marbles than David. How many marbles does Abraham have?

15 Mathematics Experience DB (part 5) 1. Express each fraction as a decimal correct to 2 decimal places. (a) (b) 2. Multiply or divide. (a) x 43 (b) 81 x 1.29 (c) (d) Find the equivalent measures. (a) 0.4 m = cm (b) 1.25 kg = kg g (c) 305 ml = L (d) 13 km 4 m = km

16 4. Express each as a percentage. (a) 0.47 (b) 0.03 (c) (d) (e) 215 out of 500 (f) 33 out of Express each percentage as a decimal and as a fraction in its simplest form. (a) 25% (b) 85% (c) 16% (d) 4% 6. Find the value of each of the following. (a) 75% of 240 m (b) 32% of $96

17 7. Fill in the blank: The average of 42, 36,, and 25 is A man rents a room for $400 a month. If the rent is increased by 12%, what is the new rent? 9. The average weight of 3 packages is 2 kg 750 g. The average weight of 2 of them is 3 kg 200 g. Find the weight of the third package. Give your answer in kg and g.

18 10. The following figures are not drawn to scale. Find the unknown marked angle. (a) ABC is a straight line. BCD (b) ABCD is a parallelogram. is an equilateral triangle. (c) ABC is a straight line. BCDE is a rhombus (d) AB is parallel to DC

19 A rectangular tank measures 50 cm by 20 cm by 33 cm. It is to be filled with water from a tap. It takes 2 minutes to fill it to a height of 12 cm. (a) What is the rate of flow from the tap in liters per minute? (a) How many more minutes will it take to fill the tank? 12. A rectangular container 8 cm long and 9 cm wide was filled with water to a depth of 6 cm. When 12 marbles of equal size were added to the container, the depth of the water became 7.5 cm. Find the volume of one marble. 13. Sam and John had $85 and $220 respectively. They were each given an equal amount of money. Then John had two times as much money as Sam. How much money did each boy receive?

20 Mathematics Experience EA (part 6) 1. Simplify the following: (a) 20a a - 7 (b) b + 6b - 2b 2. Find the value of the expression when n is 8. (a) 150-2n 2 (b) 3. The average price of 3 shirts is $12. One of the shirts costs $p and the other costs $10. (a) Express the price of the third shirt in terms of p in the simplest form.

21 4. Mrs. Wilson bought 4 bags of rice. She gave the cashier $50 and received $y change. (a) Express the the cost of one bag of rice in terms of y. (b) If y = 18.60, what is the cost of one bag of rice? 5. Mrs. Johnson mixed meat with potatoes in the ratio of 5 : 3 to make 4 kg of meat loaf. How much meat did she use?

22 6. Mr. Olson had 16 L of paint. He used 3 L 250 ml to paint one wall and 80% of the remainder to paint another wall. How much paint did he have left? 7. 4,860 people visited a fair on Saturday. This was 20% more than the number of visitors on Friday. How many visitors were there on Friday?

23 Mathematics Experience EB (part 7) *1. Find the value of each of the following in its simplest form. (a) (b) (c) (d) *2. In a jar filled with beads, of the beads are blue, of them are red, and the rest are green and yellow. The total number of red, green, and yellow beads is 126. There are as many green beads as yellow beads. How many yellow beads are there?

24 3. The figure shows a semicircle and a rectangle from which a triangle has been cut. Find its area. 4. Amy is riding a bicycle with tires that have a radius of 28 cm. If the tires have made 1,250 revolutions since she started, how far has she traveled? Give your answer in km.

25 5. This pie chart represents the use of monthly income. (a) What percentage of the monthly income is saved? (b) If $264 is saved, how much is the monthly income? 6. An empty rectangular tank, 60 cm long by 50 cm wide, contains 3 metal cubes of edge 10 cm. The tank is being filled with water flowing from a tap at a rate of 10 liters per minute. If it takes 6 minutes to fill up the tank, find the height of the tank. (1 L = 1000 ml)

26 7. The figure is not drawn to scale. ABCD is a parallelogram. BEF and CDF are straight lines. BC = CF. BAE = 118 o. Find ABE. 8. Peter and Paul each had an equal amount of money. Each day Peter spent $36 and Paul spent $48. When Paul used up all his money, Peter still had $240 left. How much money did each of them have at first?

27 9. Mr. Williams had three television sets which were of the same cost price. He sold one at cost price, one at 20% more than cost price, and one at 15% more than cost price. If he received a total of $670, how much was his profit?