Integers & algebraic equations
How many prime numbers are there from 0-20?
8
A ball has a radius of 5cm.
Find the area of the ball (Round off to 3s.f)
78.5cm2
Eren walks the circumference of the Earth looking for humans . Assuming the diameter of the Earth is 106 km, what is the distance Eren walked (3 sf)?
333 Km
The length, breadth and width of a rectangle box is 36, 14 and 2 respectively. What's the volume of the rectangle ?
1008
Choose the small number
A) 1/2
B) (1/2)2
C) 5/3
Option B.
The inequality sign should change direction when multiplied a (-1) to both sides of the equation
True or False
True
Rambu runs 50km/h and Tan runs 25km/h during a 200km race.
What is the difference in the timing of Rambu and Tan?
4 hours
Candice bought a car for $100,000 inclusive of the COE (additional certificate) which costs 40% of the price of the car. Find the cost of the car excluding the COE (nearest whole no.)
$71429
There are 2 squares. One square's length is 7cm. The other square's length is 0.08 m What's the area of both squares combined ? (in cm)
113 cm
Is the following statement true or false ?
100 cm2 = 1 m2
False.
100 cm2 = 0.01 m2
Define what a prime number is.
A prime number is a number where it can only be divided by 1 and itself
For Example : 19
--> can only be divided by 1 and 19
In a race, Diluc runs 20 km/h. Bennett runs 5 km/h but started 0.5 hours later than Diluc.
The running track is 60 km.
By how much will Bennet in increase his speed to, if he wishes to have a draw with Diluc? ( in terms of %)
300%
x slices of cake cost $6. The cost of 3 cups of coffee is $y. Express the price of two slices of cake and one cup of coffee, given x = 3 and y = 2
$4
Notebook A's length and breadth are (x+5) cm and (x) cm respectively. Notebook B's length and breadth is (x+7) cm and (x-1) cm respectively. Find the total perimeter of both the notebooks.
8x +22
Aizawa wants to buy a plot of land which 1000000cm2 that costs $100,000. The government also taxes him $1000 for every m2. What is the total price he needs to pay
$200,000
Solve,
3x+4x = 276 -1 -4x
x = 25
Guchee (a brand) sells a bag for $69420 that has a GST rate of 7%
Soup cream (a brand) sells the same bag for $72640 that has a GST rate of 4%
How much is the price difference between the bags in both shops?
$1266.2
The Mugen Train travelled 45km at 60 km/h. It then travelled at 30 km/h for another 1.5 hours. Find,
The average speed of the Train for the whole journey
AVERAGE SPEED : TOTAL DISTANCE/ TOTAL TIME
D= Speed x Time (imagine the triangle)
40 km/h
A rectangular bottle of volume 15,750 cm3 is completely filled with water. The Length and breadth is 21 cm and 15 cm respectively. The vertical height of the bottle is (4x + 10). Find X.
x =10
The volume of a cone is 694 cm3 and its height is 21 cm. Hence, find the diameter of the cone's base (3 sf)
Hint: Volume of a cone is pi x r2 x height/3
11.2
A cake is $3x. 16 cakes cost $288. 10x = 5y. The price of one cupcake is $2y. How much would 13 cakes and 8 cupcakes cost together.
$426
if Goku can move at a speed of 93100000 m/s
how long will Goku take to run one lap on a track of 1000000000 km twice in terms of hours (3 sf )
5.97 h
James rolled a metal ball down a slope. The speed of the ball was 5 km/h. Charles took the ball and applied lubricant on the ball and rolled it on the same slope. The time taken for the ball with lubricant to reach the end was 20% faster than the ball with no lubricant. Given that the length of the slope is 10 Km. What is the percentage increase in the speed of the ball with lubricant
25%
There are 2 identical circles. Circle B is overlapping Circle A. The overlapped region has an area of 19 cm2. The radius of the circles are 3m. Find the area of the area (3 sf)
Hint : ( Area of one circle + Area one circle - Area of Shaded Region )
37.5 cm2
Naruto lost his fox and went to the shop to get new stuffed animal. Shop A sells a small toy for $3.00 and a big toy for $4.00, with an offer of " Buy 2 big toys and get 1 small toy 80% off. Shop B sells the same small toy for $2.50 and the same big toy $5.00, with an offer of "Buy 2 small toys and get a Big Toy for the price of a small toy". From which shop Naruto buy form if he wishes to reduce the amount he is spending.
Shop B.