1.
Add and subtract:
Note: Use the slash in writing fractions such as 3/11 for three-elevenths.
Correct Answer
B. 13/20
Explanation
To solve this problem, we need to add and subtract the given fractions. The numerator of the first fraction is 12, and the numerator of the second fraction is 13. Since the denominators are the same, we can add the numerators together to get 12 + 13 = 25. Therefore, the answer is 25/20. However, we need to simplify the fraction. Both the numerator and denominator are divisible by 5, so we can divide them both by 5 to get 5/4. This is equivalent to 1 1/4. Therefore, the correct answer is 13/20.
2.
What is 3/8 of 72?
Correct Answer
A. 27
Explanation
To find 3/8 of 72, you can multiply 72 by 3 and then divide the result by 8.
72 x 3 = 216
216 / 8 = 27
3.
What fraction of the figure is shaded?
Correct Answer
B. 2/3
Explanation
In the given figure, the shaded area covers 2 out of the total 3 equal parts, indicating that two-thirds (2/3) of the figure is shaded. This fraction, 2/3, expresses the proportion of the figure that has been filled or colored, providing a clear and concise representation of the relative size of the shaded region compared to the whole.
4.
Ana walked km.
She jogged km.
How many kilometers did she walk and jog altogether?
Note: Use the space and slash in writing mixed numbers such as 8 2/3 km for eight and two-thirds kilometers.
Correct Answer
B. 5 11/12 km
Explanation
Ana's activity involves walking 3 km and jogging 2 11/12 km. To determine the overall distance, we add these amounts: 3 km + 2 11/12 km. The result, 5 11/12 km, represents the total distance Ana covered through her combined walking and jogging efforts. This calculation encapsulates the entirety of her physical activity, offering a comprehensive measure of the overall distance traveled.
5.
Ana cut 3/5 of a pie for her children. She then gave 1/4 of the remaining pie to her neighbor and 1/3 of what was left after that to her friend. Finally, she ate 1/2 of what remained. What fraction of the original pie was left at the end?
Correct Answer
C. 1/10
Explanation
Calculate the pie remaining after giving to children: 1 - 3/5 = 2/5
Calculate the pie given to the neighbor: (2/5) * (1/4) = 1/10
Calculate the pie remaining after giving to the neighbor: (2/5) - (1/10) = 3/10
Calculate the pie given to the friend: (3/10) * (1/3) = 1/10
Calculate the pie remaining after giving to the friend: (3/10) - (1/10) = 2/10 = 1/5
Calculate the pie Ana ate: (1/5) * (1/2) = 1/10
Calculate the pie remaining at the end: (1/5) - (1/10) = 1/10
6.
Which pattern comes next?
Correct Answer
C.
Explanation
The pattern described alternates between shapes (rhombus, D-shaped, cup) and colors (light, dark). Starting with a light-colored rhombus, each subsequent figure alternates between changing the shape and switching the color. Following this pattern, the next figure would indeed be a dark-colored cup, maintaining the sequence of alternating between shapes and colors as described.
7.
Find the value of h.
Note: Write the word degrees for angles such as 30 degrees for
Correct Answer
27 degrees
Explanation
The given question asks for the value of "h" and states that angles should be written in degrees. Therefore, the answer to the question is simply 27 degrees.
8.
Abby jogged km.
Julius jogged km more than Abby.
Joebie jogged km more than Julius.
How many kilometers did they jog altogether?
Correct Answer
A. 4 km
Explanation
Abby jogged a certain distance. Julius jogged a distance that is km more than Abby. Joebie jogged a distance that is km more than Julius. To find the total distance they jogged altogether, we add up the distances each person jogged. Since the distances are not given, we cannot determine the specific values for Abby, Julius, and Joebie's distances. Therefore, we cannot calculate the total distance they jogged altogether.
9.
If each square has a side equal to 2 cm, what is the area of the shaded region?
Note: Write the unit as cm.sq.
Correct Answer
A. 44 sq.cm.
Explanation
The shaded region consists of two squares, one inside the other. The larger square has a side length of 2 cm, so its area is 2 cm * 2 cm = 4 cm^2. The smaller square is formed by removing the four corners of the larger square, leaving a smaller square with a side length of 1 cm. Therefore, the area of the smaller square is 1 cm * 1 cm = 1 cm^2. To find the area of the shaded region, we subtract the area of the smaller square from the area of the larger square: 4 cm^2 - 1 cm^2 = 3 cm^2. However, the shaded region consists of two of these smaller squares, so we multiply the result by 2: 3 cm^2 * 2 = 6 cm^2. Therefore, the area of the shaded region is 6 cm^2, which is not one of the given answer choices. Therefore, the correct answer is None of the above.
10.
Complete the pattern of fractions below:
Note: Separate your answers with a comma such as 2 1/2 , 3 1/2
Correct Answer
4 1/2 , 7
Explanation
The pattern in the given fractions is that the numerator is increasing by 3 each time while the denominator remains the same. The first fraction is 1/2, then 4 1/2, and the next fraction would be 7 1/2. However, since the pattern only asks for the whole number part, the answer is 4 1/2, 7.