Ratio and Rate
On a school trip, are 9 boys, 10 girls, and 4 adults. Write each ratio.
a) girls to boys
b) boys and girls to adults
c) adults to boys and girls
a) 10:9
b) 19:4
c) 4:19
How can 25% of one item be different from 25% of another?
A percentage is a fraction of a total. If the totals are not the same, the values of the percentages will also be different. For example, 25% of $100 is $25, but 25% of $200 is $50. The percentage is the same, but the final value changes based on the starting amount.
36 cm
Plot these points on a coordinate grid: A(4,6), B(4,7), C(7,9), and D(6,6). Join the points.
...
What sport is played with 11 players on each side, on a rectangular field with goals at each end?
Soccer
Jake has to draw a flag with a length to width ratio of 3 to 2. What is the largest flag Jake can draw on a 25 cm by 20 cm sheet of paper?
24 cm by 16 cm
Find.
a) 600% of 40
b) 60% of 40
c) 6% of 40
a) 240
b) 24
c) 2.4
Find the area of each figure.
a) a square with side lenght 7 cm
b)a rectangle with base 12 m and height 3 m
a) 49 cm²
b) 36 m²
Two triangles are congruent if they have 3 matching sides. Suppose two triangles have 3 matching angles. Are the triangles congruent? Justify your answer.
No. Two triangles with 3 matching angles are congruent only if corresponding sides area equal, Otherwise, the triangles are similar.
What is the name of the planet in our solar system that is known for having a large ring of ice and rocks around it?
Saturn
In the league, the Leos play 8 games. Their win to loss ratio is 5:3. The Tigers play 11 games. Their win to loss ratio is 7:4.
Which team has the better record? Explain.
The Tigers
35% is 4.2 m. What is 100%?
12 kg
A cube has edge lenght 4 cm. Find the surface area.
96 cm²
Triangle ABC has sides with lengths 3 cm, 4 cm, and 5 cm. Triangle DEF has sides with lengths 3 cm, 4 cm, and 5 cm. Are the triangles congruent?
Yes, by the SSS (Side-Side-Side) congruence theorem.
What is the name of the Disney princess who lives in Hawaii and has one of her biggest dreams to explore the ocean, but is forbidden from doing so?
Moana
Express as a unit rate.
a) A bus travelled 120 km in 3 h.
b) An athlete ran 1500 m in 6 min.
c) A student earned $16 for 2h work.
a) 40 km/h
b) 250 m/min
c) $8/h
This spring, 26 dogs were adopted from the local animal shelter. This is 130% of the number of dogs that were adopted last spring. How many dogs were adopted last spring?
20 dogs
A deck of 54 cards fits in a box with dimensions 6 cm by 9 cm by 2 cm. What is the volume of the box?
108 cm³
If you have two triangles, and two sides and the angle between them are the same for both triangles, what is the congruence theorem that proves they are congruent?
This is the SAS (Side-Angle-Side) congruence theorem. It is used when two sides and the included angle (the angle between the two sides) of one triangle are congruent to the corresponding two sides and included angle of another triangle.
What viral internet phenomenon, which mixes surreal animations with catchy music, is the character Balerina Cappuccina a part of?
Italian Brainrot
A lion can run 550 m in 25 s. A zebra can run 270 m in 15 s.
a) Which animal is faster?
b) What is the ratio of their average speeds?
a) The lion
b) 11:9
The regular price of a pair of shoes is $75.00. The shoes are on sale for 25% off. The sales tax is 15%. What do the shoes cost, with sales tax?
$64.69
How can you double the volume os a rectangular prism? Does its surface area double, too? Explain.
Double one dimension. The surface area does not double because not all the faces are affected by the increase in one dimension.
Three students looked at a figure and its transformation image. Igal said the picture showed a translation. Shaian said the picture showed a rotation. Cherie said the picture showed a reflection. All three students were correct. What might the picture be?
The picture could be any figure that has 2 or more lines of symmetry, and rotational symmetry.
In what year did the character Mickey Mouse first appear in an animated cartoon and what was the name of that cartoon?
Mickey Mouse first appeared in 1928, in the animated cartoon "Steamboat Willie".