Mathematics Question Paper
MDM 4U Chapter 5 Test
K ( ) T ( / ) A( / ) C( / )
Short Answer
1. For a calculus quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose? K-6
2. All 16 people at a function shake hands with everyone else at the function. Use combinations to find the total number of handshakes. T- 6
3. How many different sums of money can you make with three pennies, a nickel, a dime, and two quarters?K-5
4. How many different sums of money can you make with four pennies, two nickels, and six quarters? A-6
5. Susan’s company has just won an important new contract. She will have to assign a project team of at least 4 of her 11 staff members to this contract in order to complete it on time. If no more than 5 staff members can be spared from other work, how many different project teams could Susan form for the new contract? T-8
6. A new theme park will have five roller coasters, six water rides, and eight suspension rides. How many different combinations of rides could you try at this park? K-7
7. Write the first three terms of the expansion of (2x – y)7. C- 5
8. Expand (x + 3y)5. K 6
Problem
9. There are 10 councillors and 12 planning department staff available to serve on a budget committee for the new city council. If the committee will consist of 3 councillors and either 1 or 2 planning staff, how many different committees could the council choose? A- 5
10. A teacher organizing a field trip finds that 50 students have signed up. However, the bus has only 47 seats, so a few students will have to travel by car. The teacher and one other supervisor must go on the bus. Explain two different methods for using combinations to find how many ways the teacher can choose which students go on the bus. Show that both methods produce the same answer. T-7
11. You and your lab partner have made a list of six tasks you must do to
K ( ) T ( / ) A( / ) C( / )
Short Answer
1. For a calculus quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose? K-6
2. All 16 people at a function shake hands with everyone else at the function. Use combinations to find the total number of handshakes. T- 6
3. How many different sums of money can you make with three pennies, a nickel, a dime, and two quarters?K-5
4. How many different sums of money can you make with four pennies, two nickels, and six quarters? A-6
5. Susan’s company has just won an important new contract. She will have to assign a project team of at least 4 of her 11 staff members to this contract in order to complete it on time. If no more than 5 staff members can be spared from other work, how many different project teams could Susan form for the new contract? T-8
6. A new theme park will have five roller coasters, six water rides, and eight suspension rides. How many different combinations of rides could you try at this park? K-7
7. Write the first three terms of the expansion of (2x – y)7. C- 5
8. Expand (x + 3y)5. K 6
Problem
9. There are 10 councillors and 12 planning department staff available to serve on a budget committee for the new city council. If the committee will consist of 3 councillors and either 1 or 2 planning staff, how many different committees could the council choose? A- 5
10. A teacher organizing a field trip finds that 50 students have signed up. However, the bus has only 47 seats, so a few students will have to travel by car. The teacher and one other supervisor must go on the bus. Explain two different methods for using combinations to find how many ways the teacher can choose which students go on the bus. Show that both methods produce the same answer. T-7
11. You and your lab partner have made a list of six tasks you must do to