Numbers
4,500,000 in scientific notation
4.5 x 106
Working: move decimal places 6 places to the left.
List the three types of fractions.
Proper Fraction, Improper Fraction, Mixed Number
A farmer wants to put a fence around a 12m by 7m garden. How much fencing is needed?
38 meters.
Perimeter of Rectangle= 38m.
A movie ends at 3:45 p.m. and lasts 1 hour 30 minutes. What time did the movie began?
The movie began at 2:15 p.m.
A school bought 25 boxes of pencils, each with 12 pencils. They gave away 150. How many pencils are left?
150 pencils remain.
A farmer collects 235 eggs and then collects 17 more eggs later. Will the total be odd or even?
252 is the total and is an even number.
Working: 235 + 17 =252
Even numbers end in 0,2,4,6,8
odd numbers end in 1,3,5,7,9
Maria ate 2/3 of a pizza and 3/5 later. How much did she eat in total? Provide answer as a mixed number.
Maria ate 1 4/15 of pizza.
A triangular floor has base 10m and height 6m. How much space will tiles cover?
30 meters2
Area of Triangle = 30m2
How much time passes between 9:20 a.m. and 12:05 p.m.?
The elapsed time is 2 hours 45 minutes.
A farmer has 48 chickens. He sells 19 and buys 27 more. How many does the farmer have now?
56 chickens
Is 47 a prime or composite number? Explain why.
47 is a Prime number because it has only 2 factors.
It is only divisible by 1 and itself.
A tank was 7/8 full of water. After use, 3/4 remained. How much was used?
1/8 tank of water was used.
A box measures 9cm length, 5cm width, and 4cm height. What is the volume of the box?
180 cm3
Volume of cuboid = 180 cm3
A car travels 150 km in 3 hours. What is its speed?
The speed is 50 km/hr.
A student spends $3.75 on a chips and $1.50 on a juice. If the student pays with a $10 bill. How much change will the student get?
The student will get $4.75
What is the square of 18?
324
18 x 18 = 324
A recipe needs 3/4 cup of sugar, but you make 1/2 of it. How much sugar is needed?
3/8 cup of sugar.
A student walks around a circular track with radius 7m. How far did they walk? (use pi = 3.14)
43.96m
Circumference of circle= 43.96m
A cyclist travels at 20 km/h for 100 km. How long does it travel?
The cyclist travelled 5 hours.
Store A sells 8 pencils for $4.80 and store B sells 5 for $2.75. Which is better? Explain why.
Store B is better with $0.55 per pencil compared to store A with $0.60 per pencil.
What is the cube of 6?
216
6 x 6 x 6 = 216
You have 5/6 of a cake shared equally among 3 people. How much did each person receive?
5/18 of a cake.
A gift box measures 8cm length, 6cm width, and 3 cm height. How much wrapping paper is needed?
180 cm2
Surface Area of Cuboid = 180 cm2
A bus travels at 60 km/h for 4.5 hours. What distance does it cover?
The distance covered is 270 km.
Juice A cost $7.20 for 4 bottles. Juice B costs $11.25 for 5 bottles. Which is the better buy? Explain.
The better buy is Juice A with $1.80 per bottle compared to Juice B with $2.25 per bottle.