WorksheetsExam Practice.
Total questions: 203
Worksheet time: 11hrs 41mins
What are three ways to write a ratio for the amount of dogs compared to the number of cats.
7:11
11:7
11 to 7
11/7
12 to 7
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
6/4
4/6
1/3
10/16
Complete the ratio table.
6
8
9
5
Complete the ratio table.
2
4
0
1
Complete the ratio table.
6 & 15
4 & 12
3 & 8
6 & 18
I need 200g of flour to make 8 pancakes. How much flour will I need to make 16 pancakes?
200g
4000g
400g
2000g
I need 3 eggs to make a pudding that feeds 6 people. How many eggs will I need to make a pudding big enough to feed 2?
3
2
1
5 pencils cost £2.50. How much will 10 pencils cost?
£5
£3.50
£2.50
£4
3 packs of paper cost £3.25. How much would 9 packs of paper cost?
£9
£6.25
£9.75
£6.50
4 packets of crisps cost £1.20. How much will 12 packets cost?
£2.40
£4.20
£3.60
To make a chocolate milkshake I need 2 tsp of chocolate syrup for every 250ml of milk. How many teaspoons of syrup will I need to make 750ml of milkshake?
2
4
6
To make chocolate milkshake I need 2 tsp of chocolate syrup for every 250ml of milk. How many tsp of syrup will I need to make 1litre of milkshake?
6
8
4
For a school trip 30 pupils needs to be supervised by 2 teachers. What is the maximum number of pupils that can be supervised by 8 teachers?
120 pupils
240 pupils
200 pupils
150 pupils
The recipe says I need 500ml of orange juice and 250ml of pineapple juice. To create the same taste how much pineapple juice should I use if I have 200ml of orange juice?
150ml
50ml
100ml
10 packs of sweets cost £3.50. How much will 2 packs of sweets cost?
75p
80p
70p
It costs £1.20 to buy enough chocolate to make 12 cookies. How much will it cost to buy enough chocolate to make 6 cookies?
£0.06
£0.60
80p
£2.40
It costs £1.20 to buy enough chocolate to make 12 cookies. How much will it cost to buy enough chocolate to make 18 cookies?
80p
£1.80
60p
A class of thirty need to share iPads 1 between 3. How many iPads will be needed?
30
10
8
£1.80
How many Chromebooks will be needed for a class of thirty if they are using them 1 between 2?
15
12
£9.30
It takes 3 workmen 4 hours to dig a hole big enough for the new well. How long would it take 6 workmen to dig the same sized hole?
8 hours
2 hours
6 hours
4 hours
Which of the following rectangles do you think is the best rectangle?
If 8 cases of merchandise cost $60, what would a dozen cases cost?
(a)
Benito saves $6 out of every $20 he earns. He earned $90 one month. How much did he save?
(a)
A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?
(a)
Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?
(a)
Jack delivered 90 circulars in 20 minutes. At this rate, how long will it take him to deliver 135 circulars?
(a)
Solve:
m96=716
(a)
Solve:
3p=3624
(a)
1. In Lucy’s class there are 12 boys and 18 girls. Write the ratio of girls:boys in its simplest form.
12:30
3:2
18:12
2:3
2. Gertie has two grandchildren, Jasmine, aged 2, and Holly, aged 4. Gertie divides £30 between them in the ratio of their ages. How much do they each get?
Jasmine £15. Gertie £15
Jasmine £15. Gertie £7.50
Jasmine £10. Gertie £20
Jasmine £2. Gertie £4
3. The ratio of men:women working in a company is 3:5. What proportion of the employees are women?
3/5
3/8
5/8
5/3
4. The ratio of cups of flour:cups of water in a pizza dough recipe is 9:4. A pizza restaurant makes a large quantity of dough, using 36 cups of flour. How much water should they use?
16 cups
13 cups
11 cups
5. The angles in a triangle are in the ratio 3:4:5. Work out the size of each angle.
30∘,40∘, 50∘
22.5∘,30∘, ∘37.5
60∘,60∘, 60∘
45∘,60∘, 75∘
6. Paint Pro makes pink paint by mixing red paint and white paint in the ratio 3:4.
Colour Co makes pink paint by mixing red paint and white paint in the ratio 5:7.
Which company uses a higher proportion of red paint in their mixture?
They are the same.
Colour Co
Paint Pro
It is impossible to tell.
7. The students in Ellie’s class walk, cycle or drive to school in the ratio 2:1:4. If 8 students walk, how many students are there in Ellie’s class altogether?
56
16
30
28
A bag contains counters. 40% of the counters are red and the rest are yellow.
Write down the ratio of red counters:yellow counters. Give your answer in the form 1:n.
1:4
4:6
1:1.5
1:6
Rosie and Jim share some sweets in the ratio 5:7. If Jim gets 12 sweets more than Rosie, work out the number of sweets that Rosie gets.
30
5
2.4
72
10. Rahim is saving for a new bike which will cost £480. Rahim earns £1500 per month. Rahim spends his money on bills, food and extras in the ratio 8:3:4. Of the money he spends on extras, he spends 80% and puts 20% into his savings account.
How long will it take Rahim to save for his new bike?
1 month
6 months
3 months
5 months
40% of the 25 students in a class have black hair. How many students is this?
10
15
20
5
16 out of the 28 biscuits in a packet have cream centres. What percentage of the packet are cream-centred biscuits?
57%
58%
100%
30%
50% of $36
(a)
CHANGE THE FOLLOWING INTO PERCENT.
5/20
50%
20%
25%
76%
CHANGE THE FOLLOWING INTO PERCENT:
6.07
6.07%
607%
670%
60.7%
Calculate 10% of $40
40
4
10
A T-shirt costs $50. You get 10% off in the sales. How much do you pay for the T-shirt ?
$55
$10
$5
$45
The bottom of a fraction is called the?
numerator
denominator
Bottom
Convert to a decimal
0.67
6.7
0.067
6.07
Convert 19% to a fraction
19/100
9/20
1/9
9/50
Convert 30% to a fraction
Simplify as much as possible
30/100
15/50
3/10
1/3
Convert 25% to a fraction in its simplest form
2/5
25/100
5/20
1/4
Convert to a percentage
12%
25%
20%
50%
What is 1/4 as a decimal?
0.2
0.25
0.4
0.15
Express 0.2 as a percentage
20%
2%
0.2%
200%
Express 0.02 as percentage
20%
2%
50%
10%
5/10 is the same as 1/2 and 50%
True
False
David says that 1/4 is greater than 40%.Is he right?
yes
no
How would you say 100% in other words?
one whole
one quarter
three quarters
one half
In a class of 30 children.60% are girls.How many girls are in the class?
12
19
18
9
Write 164 as a percentage of 200
82%
16.4%
32.8%
80%
Olivia completed 85% of the Math questions. She still has 6 questions left. How many questions were there in total?
32
45
50
40
A mixture contains 8 L of water and 42 L of milk. What is the percentage of water in the mixture?
19.0%
16%
80.1%
Not listed
There are 20 questions in a test and you get 75% correct. How many questions do you get right ?
15
12
10
5
What is 47% in fraction?
(a)
Express 209 as a a percentage.
(a)
What percent of 96 is 88?
91.7%
109%
84.5%
88%
Decrease £220 by 20%.
£170
£176
£200
£44
Increase 150 by 40%.
200
190
250
210
A survey found that 93% of 800 students at a school own a bicycle. How many students at school own a bicycle?
764
744
56
64
63
GST is charged at a rate of 10% in Australia. If the cost before tax for a pair of boots is $72.00, how much GST will be added to your bill?
$7.2
$0.72
$36
$3.6
$18
TO CONVERT ANY NUMBER TO PERCENTAGE ,WE MULTIPLY THE NUMBER BY
1
10
100
1000
How do we find distance?
speed ÷ time
speed x time
time + speed
time - speed
How do we find time?
distance x speed
speed - distance
distance ÷ speed
speed + distance
How do we find speed?
time x distance
time - distance
distance + time
distance ÷ time
A toy car moved along a 1.2 km track in 6 min. Find the speed of the toy car.
0.2 km/h
1.2 m/min
12 km/h
200 m/h
A car travelled 52 km in ½h. Find the speed of the car.
104 km/h
85 km/h
26 km/h
17 km/h
A train travels at 52 km/h. How far does it travel in
15 min?
780 m
780 km
13 m
13 km
Kirstie drove for 24 min at a speed of 85 km/h to reach the museum from her home. How far was the museum from her home?
3.5 km
16.9 km
34 km
212.5 km
Lee Ann took 40 min to jog 5 km. What was her average speed in km/h?
3 ⅓km/h
7.5 km/h
8 km/h
12 km/h
Qistina cycled at Sandy Coast Park for 45 min at an average speed of 18 km/h. Find the distance that she cycled.
24 km
18 km
15 km
13.5 km
Samik jogged 2 rounds of a running track in 8 min.
Each round of the track was 400 m. What was his jogging speed?
5 m/min
1 km/h
0.1 km/min
0.1 m/h
4,5,5,2,3,3,2,8
28, 18, 19, 18, 17
5,5,5,5
Calculate the mean.
2, 9, 10, 6, 8
8
4
7
22
7.3, 2.9, 1.5, 0.6, 3.8
What is the mode of the following data set?
5, 7, 7, 8, 12 , 12, 5, 6, 13, 12
5
7
12
no mode
What is the mode of the data?
74
82
80
83
3, 4, 5, 5, 5, 6, 7
The range of these numbers is
15
4
2
5
What is the median?
The number in the middle when the numbers are in order from least to greatest.
The difference between the largest and smallest number.
The average
The number that appears most often.
What is the mean of these numbers? 4, 5, 5, 2, 3, 3, 2, 8
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99.What was the average/mean score for these students? _________
Mary read six books in January, four books in February, and eight books in March. What was the mean number of books read each month? __________
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
What is the RANGE of her test scores?
8, 10, 60, 3, 5, 13, 12, 40, 8
the number happening the most
the middle number
What is the range?
The sum of the largest and smallest number
The number in the middle
The difference between the largest and smallest number
The number that appears most often
What is the median?
The number in the middle when the numbers are in order from least to greatest.
The difference between the largest and smallest number.
The average
The number that appears most often.
The heights of some students are given.
158cm 172cm 164cm
164cm 167cm 159cm
What is the RANGE of the heights?
13 cm
330 cm
164 cm
14 cm
What is the MEDIAN of this set of data?
10, 90, 80, 60, 50, 40, 70, 30, 20, 100
50
60
55
45
Find the mode: 10, 11, 8, 14, 12, 8, 4, 5
72
8
9
Find the mean of these numbers: 5, 11, 2, 12, 4, 2
What's another word for median?
average
mode
middle
mean
12,10,10,10,13,12,11,13,10
2, 57, 38, 42, 6
4,2,7,4,3
12, 5, 9, 18, 22, 25, 5
8, 14, 32, 6, 15
6, 12, 16, 11, 8, 4, 1, 11, 4
5,11,2,12,4,2
5, 0, 9, 9, 3, 0, 5, 5, 4
What is another word for AVERAGE?
Mode
Median
Mean
Not nice
What's another word for median?
average
mode
middle
mean
What is the mean of the data below?
1 , 5 , 10 , 11 , 20
10
9.4
19
9.1
Which of the following numbers is divisible by 3?
24357806
35769812
83479560
3336433
Which of the following numbers is divisible by 9?
8576901
96345210
67594310
none of these
Which of the following numbers is divisible by 4?
78653234
98765042
24689602
87941032
Which of the following numbers is divisible by 8?
96354142
37450176
57064214
none of these
Which of the following numbers is divisible by 6?
8790432
98671402
85492014
none of these
Which of the following numbers is divisible by 11?
3333333
1111111
22222222
all of these
Which of the following is a prime number?
117
171
179
none of these
Which of the following is a prime number?
323
361
263
All of these
Which of the following are co-primes?
39, 91
161, 192
385, 462
none of these
391289 when reduced to the lowest terms is
2311
3113
3117
2317
The greatest number which divides 134 and 167 leaving 2 as remainder in each case is
14
17
19
11
The smallest number which when diminished by 3 is divisible by 11, 28, 36 and 45, is
1257
1260
1263
none of these
The HCF of two co-primes is
(a) the smaller number
(b) the larger number
(c) 1
(d) none of these
If a and b are co-primes, then their LCM is
1
ba
ab
none of these
Every counting number has an infinite number of
Factors
multiples
prime factors
none of these
Which number is a factor of 10
3
4
5
8
(1 and itself)
7 14 22 28
Which one is incorrect?
Which answer lists all the factors for 40?
1,2,4,5,8,12,14,40
1,2,3,4,5,8,10
1,2,4,5,8,10,20,40
1,2,4,5,6,7,8,9,10
What are the next three multiples? 6, 12, 18, ___ ,___ ,___
24, 30, 34
24, 36, 42
24, 30, 36
22, 28, 34
Which is a factor pair of 24?
2,12
3,5
7,6
8,5
Which are factor pairs of 45?
1,45,5,9
1,3,7,9
5,7,8,9
7,9,5,2
2
Prime
Composite
15
Prime
Composite
Multiples of 4
4,8,12,16,20
2,4,6,8
1,2
3,6,9
What is a factor?
a number or quantity that when multiplied with another produces a given number or expression.
a number that can be divided by another number without a remainder.
A Number
A number experssiona to solve a multiplication problem
SHOW ANSWER
What are all the FACTORS of 24?
1, 2, 12, 24
1, 2, 8, 24
1, 2, 3, 4, 5, 6, 8, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
List the first four multiples of 8.
1, 2, 4, 8
8, 16, 24, 32
16, 24, 32, 40
2, 4, 6, 8, 10
17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.
2, 5, 7
two, itself, 1
2, 15, 2
2, 8.5, 2
Which of these statements is true?
All numbers have 4 factors.
2 is a factor of every number.
1 is a factor of every number.
All odd numbers have an odd number of factors.
Find the LCM of 12 and 16...
48
36
64
96
What is the LCM of 2,4,6
4
6
2
12
The highest common factor of 28, 42, and 76 is….
14
7
4
2
Find the HCF for 18, 36, and 81
3
2
6
9
Which number is a factor of 10
3
4
5
8
(1 and itself)
7 14 22 28
Which one is incorrect?
Which answer lists all the factors for 40?
1,2,4,5,8,12,14,40
1,2,3,4,5,8,10
1,2,4,5,8,10,20,40
1,2,4,5,6,7,8,9,10
What are the next three multiples? 6, 12, 18, ___ ,___ ,___
24, 30, 34
24, 36, 42
24, 30, 36
22, 28, 34
Which is a factor pair of 24?
2,12
3,5
7,6
8,5
Which are factor pairs of 45?
1,45,5,9
1,3,7,9
5,7,8,9
7,9,5,2
2
Prime
Composite
15
Prime
Composite
Multiples of 4
4,8,12,16,20
2,4,6,8
1,2
3,6,9
