Cumulative Test: Exam Prep
P
MULTIPLE CHOICE
1. Picrre is thinking about even numbers. He makes this conjecture: the sum of
any 3 consecutive even integers is divisible by 4. Which of the following sets
of numbers does NOT support the validity of Pierrc’s conjecture?
A 2,4,6 ®)s, 10,12 C. 10,12,14 D. 14,16,18
2. Janet conjectures that the diagonals of a trapezoid always bisect each other.
Which of these trapezoids is a counterexample to Janer's conjecture?
| A. an isosceles trapezoid trapezold with two rlght angles
B. a parallelogram D. None of these choices is
counterexample.
3. A regular polygon has internal angles measuring 165°. How many sides does
the polygon have?
A 15 G) 24 C. 26 D. none of these
4. You are asked to solve this triangle. Which law, in which form, should you use
firse? o . 13 mm
sind _ sinB . C b~
A. sine law: —— = —— C. cosinelaw: cos C = ———
a b 2ab
= b
(\.B) sine law: si:A =3 D. cosine law: & = 4> + & — 2ab cos C
5. In AJKL,j = 38 mm, # = 32 mm, and £] = 107°. How many triangles are p
possible with these dimensions?
A0 /By 1 C. 2 D. not enough information to determine
6. Based on their standard deviations, which of these two sets of test scores Class A Class B
. . 3 78, 69, 5162,
(both out of 100) is more dispersed?
A. Class A is significantly more dispersed. 95, 65, 68, 75,
83, 87 88, 70,
B. Class B is significantly more dispersed. 59, 64,
’ 77
(C! The classes are about equally dispersed.
D. The standard deviations do not give enough information to decide.
™
258 Chapters 1-8 Cumulative Test Copyright © 2012 by Nelson Education Ltd
, 7. Which of the following accurately describes how the solution set for the linear
inequality 3x — 2y > 5, x € 1, y € I should be graphed?
(¢
A. boundary dashed, upper half plane shaded
B. boundary solid, uppet half plane shaded
’/6/ boundary stippled, lower half plane shaded and stippled
D. boundary dashed, lower half plane shaded and stippled
8. Which of these quadratic functions corresponds to the parabola?
A y=2x(6—x) — 8 Cy=12x—8— 2
B.y=—2(x—3?+10 @ all of these choices
9. Which of these quadratic functions is equivalent to y = 2x(x + 5) + 20?
A y=2x+ 57— 30 C.y=2(x+25?%+20
(B)y= 20+ 257 + 7.5 D.y=2(x+572+75
10. Which of these are approximate solutions of the quadratic equation
x4+
3x — 13 = 3x(x
— 5)?
@ 0.792, 8.208 C. —5.405, 0, 2.405,5
B. —5.405, 2.405 D. —0.845, 3.845
11. Helayne, Stuart, and Chloe are taking part in a 40 km run for chariry.
Helayne runs the first half of the run at a gentle 9 km/h, then completes it at
15 km/h. Stuart runs the first half ac 18 km/h, but then has to walk the rest
of the way at 6 km/h. Chloe completes the whole event at a steady 12 km/h.
Who finishes firs?
A. Helayne B. Stuart @ Chloe D. Helayne and Chloe in a tie
12. Richard is roasting a chicken with a mass of 1.85 kg. His cookery book says
to allow 15 min cooking time per pound plus an extra 15 min. Given that
2.21b = 1 kg, how long should Richard leave the chicken in the oven?
A lhimin B.43min C 1h1lmin @1h16min
NUMERICAL RESPONSE
13. a) How many ways can you colour the edges of pentagon ABCDE so that
cach edge is either red, blue, or green, and two edges that meet at a vertex
are different colours? 20 ways
b) How many ways can you colour the edges of square ABCD in the same
way as the pentagon in parta)? (¥ ways
Copyright © 2012 by Nelson Education Ltd. Chapters 1-8 Cumvulative Test 259
P
MULTIPLE CHOICE
1. Picrre is thinking about even numbers. He makes this conjecture: the sum of
any 3 consecutive even integers is divisible by 4. Which of the following sets
of numbers does NOT support the validity of Pierrc’s conjecture?
A 2,4,6 ®)s, 10,12 C. 10,12,14 D. 14,16,18
2. Janet conjectures that the diagonals of a trapezoid always bisect each other.
Which of these trapezoids is a counterexample to Janer's conjecture?
| A. an isosceles trapezoid trapezold with two rlght angles
B. a parallelogram D. None of these choices is
counterexample.
3. A regular polygon has internal angles measuring 165°. How many sides does
the polygon have?
A 15 G) 24 C. 26 D. none of these
4. You are asked to solve this triangle. Which law, in which form, should you use
firse? o . 13 mm
sind _ sinB . C b~
A. sine law: —— = —— C. cosinelaw: cos C = ———
a b 2ab
= b
(\.B) sine law: si:A =3 D. cosine law: & = 4> + & — 2ab cos C
5. In AJKL,j = 38 mm, # = 32 mm, and £] = 107°. How many triangles are p
possible with these dimensions?
A0 /By 1 C. 2 D. not enough information to determine
6. Based on their standard deviations, which of these two sets of test scores Class A Class B
. . 3 78, 69, 5162,
(both out of 100) is more dispersed?
A. Class A is significantly more dispersed. 95, 65, 68, 75,
83, 87 88, 70,
B. Class B is significantly more dispersed. 59, 64,
’ 77
(C! The classes are about equally dispersed.
D. The standard deviations do not give enough information to decide.
™
258 Chapters 1-8 Cumulative Test Copyright © 2012 by Nelson Education Ltd
, 7. Which of the following accurately describes how the solution set for the linear
inequality 3x — 2y > 5, x € 1, y € I should be graphed?
(¢
A. boundary dashed, upper half plane shaded
B. boundary solid, uppet half plane shaded
’/6/ boundary stippled, lower half plane shaded and stippled
D. boundary dashed, lower half plane shaded and stippled
8. Which of these quadratic functions corresponds to the parabola?
A y=2x(6—x) — 8 Cy=12x—8— 2
B.y=—2(x—3?+10 @ all of these choices
9. Which of these quadratic functions is equivalent to y = 2x(x + 5) + 20?
A y=2x+ 57— 30 C.y=2(x+25?%+20
(B)y= 20+ 257 + 7.5 D.y=2(x+572+75
10. Which of these are approximate solutions of the quadratic equation
x4+
3x — 13 = 3x(x
— 5)?
@ 0.792, 8.208 C. —5.405, 0, 2.405,5
B. —5.405, 2.405 D. —0.845, 3.845
11. Helayne, Stuart, and Chloe are taking part in a 40 km run for chariry.
Helayne runs the first half of the run at a gentle 9 km/h, then completes it at
15 km/h. Stuart runs the first half ac 18 km/h, but then has to walk the rest
of the way at 6 km/h. Chloe completes the whole event at a steady 12 km/h.
Who finishes firs?
A. Helayne B. Stuart @ Chloe D. Helayne and Chloe in a tie
12. Richard is roasting a chicken with a mass of 1.85 kg. His cookery book says
to allow 15 min cooking time per pound plus an extra 15 min. Given that
2.21b = 1 kg, how long should Richard leave the chicken in the oven?
A lhimin B.43min C 1h1lmin @1h16min
NUMERICAL RESPONSE
13. a) How many ways can you colour the edges of pentagon ABCDE so that
cach edge is either red, blue, or green, and two edges that meet at a vertex
are different colours? 20 ways
b) How many ways can you colour the edges of square ABCD in the same
way as the pentagon in parta)? (¥ ways
Copyright © 2012 by Nelson Education Ltd. Chapters 1-8 Cumvulative Test 259
