Question 1

The problem asks you to figure out which runner finished third based on their positions on the podium. The podium works in such a way that the person on the highest step finishes first, the person on the second-highest step finishes second, and the person on the third step finishes third.

Now, looking closely at the podium, we see different runners labeled as A, B, C, D, and E, each standing on different levels. The runner who is standing on the third step is runner D. Since the third step determines the third-place finisher, we can conclude that D finished third.

So, the correct answer is D.

Question 2

In this problem, you need to figure out which picture shows the number 16. Here’s how the pictures work:
Each dot represents 1 point.
Each bar represents 5 points.

To solve this, we should start by using bars because they are worth more.

First, let’s figure out how many bars we need to get close to 12. Lets start by dividing 12/5 so we know howmany bars we need.

12/5 is 2r2. So, this means we must have 2 bars, and 2 dots

So we have to find the answer choice that has 2bars and 2 dots since that represents the number 12.

Looking at the answer choices we see that C matches what we are looking for.

So, the correct answer is C.

Question 3

Let’s break this problem into steps

Open Book Layout:

The left side of the book has two square holes cut out.
The right side shows a series of vehicles in different colors: a red car, a blue motorcycle, a green truck, a yellow car, and a pink tractor.

Understanding the Holes:

The left page has two cut-out squares, which allow you to “see through” to whatever is on the right page when the book is closed. When the book closes, these holes will align with specific images on the right page.

Closing the Book:

You have to imagine the left page folding over the right page. As the book closes, the holes will cover some of the images on the right page.
Your task is to figure out which two images will be visible through these holes once the book is closed.

Identifying Alignment:

Based on the layout, the first hole on the left page will line up with the position of the blue motorcycle on the right page.
The second hole on the left page will align with the position of the yellow car on the right page.

Answer Choices:
The answer is Option D, as it shows the two images (a blue motorcycle and a yellow car) that will be visible through the holes when the book is closed.

Question 4

Lets break this problem into steps!

Understanding Footprint Layers:

There are three distinct sets of footprints, each representing a different person.
The footprints overlap in certain areas, meaning some people stepped on top of others’ footprints.
The goal is to figure out who stepped first, second, and last based on the layering of the footprints.

Footprints on Top vs. Bottom:

First walker: The first person to walk across the field will leave footprints that are at the bottom, meaning none of their prints will be covered by anyone else’s footprints.
Second walker: The second person will step on top of the first person’s footprints but will not have their prints covered by the third person.
Third walker: The last person to walk will have their footprints on top of both the first and second person’s footprints.

Analyzing the Footprints:

By looking at the footprints closely, you can identify which prints are completely uncovered, which indicates the first person who walked.
The footprints that partially cover the first set but are themselves covered by another set belong to the second person.
The footprints that cover both of the other sets belong to the last person who walked.

Conclusion:

Based on the arrangement of the footprints, the correct order is C, B, A, which means:
C went first (footprints at the bottom),
B went second (footprints partially covering C’s prints),
A went last (footprints on top of both C’s and B’s).

Thus making A the answer!
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Question 5

In this problem, Pia creates a shape using a number of connected sticks, and you are tasked with figuring out which of the given shapes requires more sticks than Pia has. First, you need to count how many sticks Pia used in her original shape. The shape is displayed in the top right corner, and after counting the segments, you can see that Pia’s shape uses a total of 12 sticks.

Next, you analyze each of the five options (A, B, C, D, E) by counting the number of sticks required to form each shape. For Option A, the shape is constructed with 12 sticks, matching the number Pia used. Option B uses fewer sticks, totaling only 10. Option C, like Option A, uses 12 sticks, which is exactly the same as Pia’s original shape. Option E also contains 12 sticks.

Finally, when you look at Option D, you count 14 sticks. This is the only shape that uses more sticks than Pia’s shape, which only has 12. Therefore, the correct answer is Option D, as it requires more sticks than Pia has. This exercise emphasizes careful counting and comparing of the number of sticks in each shape to determine which one exceeds Pia’s available resources.

Question 6

In this problem, Karina is cutting out a piece from a grid of squares filled with different symbols. The grid contains symbols such as hearts, stars, spades, and clubs, arranged in rows and columns. Karina’s goal is to cut out a section of two adjacent squares that form a rectangular shape.

You are given a shape that represents what Karina is cutting (two horizontal squares). The challenge is to identify which option (A, B, C, D, or E) matches the exact pair of symbols she cuts out from the grid.

To solve this, start by observing the position of the two squares in the grid that Karina is cutting out. These squares are on the right side of the grid, containing a star in the left square and a club in the right square. Once you have identified this combination, you need to compare it to the options provided.

Option A shows a heart and a diamond.
Option B shows a star and a club.
Option C shows a star and a spade.
Option D shows a star and a club but in the reverse order.
Option E shows two hearts.
Upon reviewing the options, you will see that Option B matches the exact pair of symbols Karina cuts out (star and club in the correct order). This problem tests your ability to visually recognize and match shapes and patterns in a grid, requiring attention to both the position and symbols.

Question 7

In this problem, Liam is building a 3D structure using cubes and cylinders, and your task is to figure out which image represents his construction correctly. The instructions describe Liam’s building process step by step, giving you clues about how to visualize the structure.

First, Liam places three cubes on the table as the base of his structure. These cubes form the foundation and are placed side by side. Then, he places two cylinders on top of these cubes. The cylinders are aligned vertically and sit on the cubes below. Finally, Liam places one more cube on top of the two cylinders, completing the structure.

Your job is to carefully visualize each step and figure out which of the five options (A, B, C, D, or E) matches the described structure. Let’s analyze the options:

Option A shows three cubes at the bottom and one cube stacked on top, but there are no cylinders.
Option B shows cubes and cylinders, but the arrangement is incorrect, as the additional cube is not placed on top of the cylinders.
Option C shows three cubes and two cylinders, but the extra cube is missing.
Option D shows the correct arrangement: three cubes at the base, two cylinders stacked on top of the cubes, and one additional cube placed on top of the cylinders.
Option E is similar to Option C but without the extra cube.
After reviewing the options, you will find that Option D correctly represents Liam’s construction. This problem requires spatial reasoning skills, as you need to mentally build the structure and visualize how the pieces stack together.

Question 8

This problem presents a cross-shaped grid with several numbers and arithmetic operations. Your task is to figure out what number should replace the question mark in the center of the cross when all the calculations are done correctly.

To begin solving this, focus on the equations formed by the horizontal and vertical lines in the cross. Each section contains a combination of addition and subtraction, and you must ensure that each equation balances correctly.

The horizontal equation at the top is 2 + 1 = ?. This tells you that the sum of the numbers in the horizontal line should equal the number in the black box (the missing number).
The vertical equation involves subtraction, where you know the result must be 9 at the bottom. You must also account for the other operations in the puzzle to balance both the horizontal and vertical calculations.
When you work through the steps:

Start with the given numbers and equations.
Perform the addition and subtraction in each line.
Use the results to calculate the missing number.
After completing these steps, the number that satisfies both the horizontal and vertical equations is 7. Therefore, Option D is the correct answer. This problem tests your arithmetic skills and ability to work through equations logically in a puzzle format.

Question 9

Edgar is building a tower using alternating red and yellow cubes, as shown in the figure. The key observation here is that the pattern alternates between red and yellow cubes. Edgar needs to determine how many more red cubes are required to finish building the tower.

The full problem is asking for the total number of red cubes needed to complete the entire tower. The pattern continues until the tower reaches a specific height, and by analyzing the figure, you can see the partial tower already contains a certain number of cubes.

Now, in order to fully complete the tower, 19 red cubes will be needed, not just 3. This total accounts for the entire tower structure, ensuring that Edgar follows the alternating red-yellow pattern and finishes the tower with the correct number of red cubes.

Thus, the correct answer for how many red cubes Edgar needs to add is 19 cubes.

Question 10

Peter wants to hang 7 photos, each photo requires multiple pins, similar to how Linda used 8 pins for her 3 photos.

In this case, for 7 photos, the method of pinning involves more than just a pin shared between adjacent photos. If Peter is using the same method as Linda, where each photo requires more than one pin (e.g., at the corners), then the number of pins increases accordingly.

For Linda’s 3 photos, 8 pins were used, which means there’s a specific distribution of pins across the photos.
For Peter’s 7 photos, the total number of pins needed is proportional to this setup.
Thus, by calculating based on the pattern, 16 pins would be required for Peter to hang his 7 photos. This accounts for each photo requiring a certain number of pins around its edges, similar to how Linda arranged her 3 photos with 8 pins.

Therefore, the correct answer is 16 pins.

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