How many grps
How much in a group
Geometry and fractions
Review of previous topics
Stranger than fiction
100
How many 1/5s in 8? Write the equation and then the answer.
8 ÷ 1/5 = 40
100
Jack is shooting baskets. In 10 minutes, he gets 4 basketballs in the hoop which is 2/3 of all the hoops he shoots during his practice. What was the total number of hoops he made?
You must draw a tape diagram to go with this to get the points.
Jack made 6 hoops during his practice.
100
What is the area of this rectangle?
The area is 5/7 x 3/4 = 15/28 cm2
100
A cyclist is travelling at a constant speed and distance travelled over time is shown in this ratio table. Complete the missing numbers in this ratio table (x and y).
x = 1.2
y = 3
100
James Harrison has a very rare type of blood plasma that can be used to treat Rhesus disease, which can occur during pregnancy. He's been donating blood roughly every three weeks from 1954 to 2018. How many babies is he considered to have saved?
a. 0.9 million babies
b. 1.8 million babies
c. 2.4 million babies
c. 2.4 million babies
200
Write the equation and solution represented in this tape diagram.
4 ÷ 1/3 = 12
200
I poured 2/5 of a cup of cordial into my glass which filled 1/4 of the glass. How many cups of cordial would fill all of the glass?
Write the equation then turn this into a tape diagram to solve. You need to draw a tape diagram to get the points
It would take 1 3/5 of a cup to fill the class.
200
What is the width of this rectangle?
The width is 3 m.
200
What is the area of this parallelogram?
a = bh
= 8 x 15 = 120 yd2
200
There has been recent good news about all of the animals in the photo below. What was this good news? (closest to the real reason wins).
They have all been removed from the endangered animal list.
300
Write the equation and solution to match this diagram.
1/3 ÷ 1/6 = 4
300
Students in a sixth-grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost?
You need to include a tape diagram to get the points.
The trip cost $600
300
What is the area of this triangle?
The area is 1/2 x 2 5/6 x 7 = 29.75 in2
300
A grocery store sells 3 pounds of green apples for $2.34 and 2 pounds of red apples for $1.86. Which apples have the better unit price?
Green: 2.34 divided by 3 = $0.78 or 78 cents per pound
Red: 1.86 divided by 2 = $0.93 or 93 cents per pound
The green apples have the better price per pound.
300
A recent study out the UK found that dairy cows who live in barns where soothing music is played produce more milk. What percentage extra milk did those cows produce? (closest guess wins).
3% more milk
400
Before taking off, a plane travels at a speed of 1/4 km per second. The runway is 5 3/4 km. How many seconds does it take the plane to get to the end of the runway?
First write the equation and then use your choice of method to solve.
5 3/4 ÷ 1/4 =
23/4 ÷ 1/4 = 23
400
An auto shop installed a new automatic system to do paint jobs for cars. The system can paint 6 cars in 1/4 hour. How long does it take to paint one car?
First write the equation and then solve.
The equation is 1/4 ÷ 6 = 1/24 of an hour
400
What is the volume of this rectangular prism?
The volume is 3 3/4 cm3
400
Find the area of this polygon. You must include trapizoids in your decomposing and use a trapizoid formula as part of your working.
The area of the polygon is 33 u2
400
In Sweden, a contest known as Kaninhoppning pits rabbits against each other as their owners lead them over jumps and around obstacles. In this competition, there is a high and a long jump contest. What is the world record for the highest rabbit jump in cm? (closest guess wins).
99.5cm high (3.25ft)
500
This is a two part question
Part One: Lyn is running to get ready for a marathon. The first day, she runs 14 2/7 km and the second day she runs 22 2/9 km. How many times as long did she run on the second day than the first day?
What fraction of the second day is the first day?
Part One: 22 2/9 divided by 14 2/7 = 14/9 = 1 5/9
Part Two: 14 2/7 divided by 22 2/9 = 9/14
500
Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall?
a. Write multiplication and division equations to represent the situation. b. Draw a diagram to represent and answer the question.
500
The volume of this rectangular prism is 39 3/8 cm3 What is the width?
The width is 3cm
Divide 39 3/8 by the product of the length and height.
Then 39 3/8 divided by 13 1/8 = 3
500
Lisa's mother goes to a bicycle store to buy Lisa a new bike. The one Lisa wants originally cost $350 but it is 20% cheaper in a sale. After a few years, Lisa outgrows the bicycle but it is still in excellent condition so her mother sells it second-hand to another family for 55% of the price they paid for it in the store. How much did the family pay for the second-hand bicycle?
20% of $350
20% = 20/100 x 350 = 0.2 x 350 = $70
$350 - $70 = $280
55% of 280 = 55/100 x 280 = 0.55 x 280 = 154
280 - 154 = $126
The family paid $126 for the bicycle.
500
Which is wider - the moon or Australia? Have a guess too at the difference in size (correct answer and closest guess wins).
The moon sits at 3,400 kilometers (2,113 miles) in diameter, while Australia’s diameter from east to west is almost 4,000 km (2,485 miles).
