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The big fat quiz of the year (Y7)

Total questions: 72

Worksheet time: 4hrs 3mins

Name
Class
Date
1.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
To multiply two fractions 
c)
A number over another number
d)
Two decimals that can be multiplied
2.

What is the ratio to the picture shown, triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

3.

A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)

a)

12:18

b)

3:2

c)

30:18

d)

18:7

4.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

5.

In a fruit bowl 3/5 of the fruit are apples. The rest are oranges.


What is the ratio of apples to oranges?

a)

3 : 5

b)

5 : 3

c)

3 : 2

d)

3 : 8

6.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
7.
150 grams of fertilizer is required for a land area of 6 square acres.  At this rate, how many grams of fertilizer is needed for 13 square acres?
a)
25 grams
b)
300 grams
c)
325 grams
d)
310 grams
8.
Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?
a)
They are the same
b)
The  20 ounce can
c)
The 12 ounce can
9.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

10.
4. There are 60 girls and 90 boys in the sixth grade at a middle school. Of these students, 3 girls and 9 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
a)
15%
b)
5%
c)
10%
d)
8%
11.

Increase £350 by 12%...

a)

£392

b)

£308

c)

£42

d)

£408

12.

Increase £2600 by 4%...

a)

£2704

b)

£2730

c)

£2756

d)

£2678

13.

Decrease £2200 by 8%...

a)

£2024

b)

£1980

c)

£2002

d)

£2376

14.

Decrease £120 by 22.5%...

a)

£93

b)

£27

c)

£90

d)

£87

15.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

16.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

17.

Which of the following angles would NOT be congruent to the measure of  7\angle7 ?

a)

 2\angle2  

b)

 3\angle3  

c)

 6\angle6  

d)

 8\angle8  

18.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
19.
The measures of one angle of a regular polygon is 140o.  What is the name of the polygon? (Hint: Solve for n)
a)
Decagon
b)
Nonagon
c)
Heptagon
d)
Hexagon
20.
What is the name of a 7 sided polygon?
a)
hexagon
b)
heptagon
c)
octagon
d)
nonagon
21.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
22.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

23.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

24.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

25.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
26.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
27.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

28.
Solve for W:
a)
9
b)
11
c)
15
d)
10
29.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
30.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
31.

4x - 3 ≥ 2x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

32.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
33.

 4(y+4)164\left(y+4\right)\le16  

a)

 y0y\le0  

b)

No Solution

c)

 y2y\le2  

34.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
35.
At the local 5k race, runners 10 and under or runners 65 and above start the race after the others. What compound inequality represents the situation?
a)
10 ≤ x ≤ 65
b)
x ≥ 10 or x ≤ 65
c)
x ≤ 10 or x ≥ 65
d)
10 < x < 65
36.
Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.
a)
2 ≤ x ≤ 8
b)
2< x < 8
c)
8 ≥ x ≥ 2
d)
2> x > 8
37.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

38.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
39.

The number of pages that Mia wrote in her journal each day from Monday to Friday is shown below:

9, 8, 12, 11, 20

What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

12

40.

Find the mean from the following table...


You may need to copy the table out and add columns...

a)

13

b)

14

c)

13.3

d)

14.2

41.

Find the mode from the following table...

a)

13

b)

11

c)

12

d)

10

42.

Find the median age

a)

7

b)

6.5

c)

6

d)

7.5

43.

Which interval has the greatest number of students?
a)
48-51
b)
56-59
c)
60-63
d)
64-67
44.
Is this an example of a histogram?
a)
yes
b)
no
45.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
46.

What is the range of the shoe sizes?

a)

5

b)

4

c)

16

d)

9

47.

How many people have a shoe size of 6?

a)

17

b)

18

c)

19

d)

15.4

48.

What is the shortest amount of time that a Year 11 spend on their homework?

a)

15 minutes

b)

45 minutes

c)

5 minutes

d)

1 minute

49.

Which of these could be a cumulative frequency graph?

a)
b)
50.

How many students scored 40% or below on the test?

a)

21

b)

22

c)

20

d)

15

51.
What is the Lower Quartile Length?
a)
28 cm
b)
30 cm
c)
33 cm
d)
20 cm
52.
What is the median length?
a)
40.5 cm
b)
30 cm
c)
24.5 cm
d)
32 cm
53.
What is the Interquartile Range?
a)
28 cm
b)
12 cm
c)
33 cm
d)
5 cm
54.

Find the number of passengers who waited for the bus for 15 min or less.

a)

6

b)

10

c)

20

d)

24

55.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
56.
What percent of students have a height between 58 inches and 60 inches?
a)
25%
b)
50%
c)
75%
d)
100%
57.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
58.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
59.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
60.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
61.
Find the circumference of a circle with
radius = 2 cm
a)
6.3 cm
b)
1.26 cm
c)
12.6 cm
d)
126 cm
62.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
63.
What is the area of a semicircle with a diameter of 4 inches?
a)
50.24 in2
b)
200.96 in2
c)
12.56 in2
d)
6.28 in2
64.
A line segment on the interior of a circle with endpoints on the circle
a)
Radius
b)
Diameter
c)
Secant
d)
Chord
65.
A line  that intersects a circle at exactly one point is a ____________.
a)
tangent
b)
secant
c)
chord
d)
radius
66.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
67.
Find the area. 
a)
88 inches2
b)
60 inches
c)
88 inches 
d)
60 inches2
68.
Find the area of the parallelogram.
a)
15.6 cm2
b)
30.6 cm2
c)
13.26 cm2
d)
79.56 cm2
69.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
70.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
71.
Calculate the volume. 
a)
 90 cm³
b)
150 cm³
c)
180 cm³
72.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12