Master 11 Plus Math with Expert Tips and Solutions
Table of Contents
- Introduction
- Understanding the 11 Plus Test
- Purpose of the 11 Plus Test
- Test Breakdown
- English
- Maths
- Nonverbal Reasoning
- Verbal Reasoning
- Mastering Number Sequences
- Sample Question 1: Working Backwards
- Sample Question 2: Multiple Steps
- Nailing Mental Arithmetic
- Sample Question 1: Fractions to Decimals
- Sample Question 2: Decimals to Percentages
- Tackling Area and Perimeter
- Sample Question 1: Square
- Sample Question 2: Complex Shapes
- Analyzing Graphs and Charts
- Sample Question: Calculating Averages
- Understanding Angles
- Sample Question 1: Missing Angle in a Triangle
- Sample Question 2: Ratio of Angles
- Conclusion
- Additional Resources and Practice Questions
- Frequently Asked Questions
Introduction
Hello! Welcome to this presentation for the 11 Plus Test. In this presentation, we will help You improve your chances of scoring highly on the test by providing sample questions and walkthroughs. We understand that certain question types can be challenging, so we will focus on those in this presentation.
Understanding the 11 Plus Test
The 11 Plus Test is designed to evaluate whether attending a grammar school is a suitable choice for students. It assesses various skills through four main areas: English, Maths, Nonverbal Reasoning, and Verbal Reasoning. In this presentation, we will focus specifically on the Maths section.
Mastering Number Sequences
Number sequences often pose a challenge to test-takers. Let's look at two sample questions to understand how to approach them.
Sample Question 1: Working Backwards
The question states: "I think of a number, double it, and add 4. The answer is 22. What number did I start with?" To solve this, we need to work backwards. Subtracting 4 from 22 gives us 18. Dividing 18 by 2, we find the original number is 9.
Sample Question 2: Multiple Steps
The question states: "I think of a number, multiply it by 5, add 3, and subtract 8. The answer is 95. What number did I start with?" Similar to the previous question, we work backwards. Adding 8 to 95 gives us 103. Then, subtracting 3 gives us 100. Dividing 100 by 5, we find the original number is 20.
Nailing Mental Arithmetic
Mental arithmetic questions require quick calculations. Here are two examples to help you tackle them.
Sample Question 1: Fractions to Decimals
The question asks: "What is 3/4 of 180?" To work with fractions, divide the whole number by the bottom part of the fraction (4) and multiply it by the top number (3). Therefore, 3/4 of 180 is 135.
Sample Question 2: Decimals to Percentages
The question states: "What is 5/8 as a percentage?" To convert a decimal into a percentage, divide the top number (5) by the bottom number (8) and multiply it by 100. Thus, 5/8 as a percentage is 62.5%.
Tackling Area and Perimeter
Calculating the area and perimeter of shapes can be tricky. Let's explore two types of questions.
Sample Question 1: Square
The question asks for the area of an equilateral square with sides measuring 8 centimeters. The formula to find the area of a square is base times Height. Therefore, the area of the square is 8 multiplied by 8, which equals 64 square centimeters. The perimeter is found by adding all the sides, which in this case is 8 + 8 + 8 + 8, resulting in 32 centimeters.
Sample Question 2: Complex Shapes
In this question, you need to find the area of a Shape made up of two joined shapes. Divide the shape into separate components and calculate their areas individually. Then, sum the areas to find the total. For example, if the square section has a height of 5 centimeters and a width of 14 centimeters, its area is 5 multiplied by 5, which equals 25 square centimeters. Applying the same logic to the triangular section with a height of 5 centimeters and a base of (14-5) 9 centimeters, the area is 45 square centimeters. Adding these together, the total area is 70 square centimeters.
Analyzing Graphs and Charts
Graphs and charts often appear in the 11 Plus Test. Let's explore how to answer questions related to them.
Sample Question: Calculating Averages
The question asks for the average of history grades C or above from 2004 to 2009, rounded to the nearest whole number. By summing up the values for each year (56 + 64 + 72 + 78 + 84 + 58), we obtain a total of 412. Dividing 412 by the number of years (6), we find the average to be 68.66. Rounding this to the nearest whole number, the answer is 69.
Understanding Angles
Angles are another important topic in the 11 Plus Test. Let's explore how to solve angle-related questions.
Sample Question 1: Missing Angle in a Triangle
Given two angles (78 degrees and 36 degrees) in a triangle, we need to find the measure of the missing angle. Since the sum of angles in a triangle is 180 degrees, subtracting the sum of known angles (78 + 36) from 180 gives us the missing angle of 66 degrees.
Sample Question 2: Ratio of Angles
In this question, the triangle's angles are in the ratio of 2 to 3 to 4, and we're asked to find the size of the smallest angle. By adding the ratio values (2 + 3 + 4) and dividing the sum by the total degrees in a triangle (180), we find that each ratio unit is equal to 20 degrees. Multiplying this by the respective ratio values, we find the angles to be 40 degrees, 60 degrees, and 80 degrees. The smallest angle is therefore 40 degrees.
Conclusion
Congratulations! You now have a better understanding of different question types in the Maths section of the 11 Plus Test. Remember to practice regularly and explore additional resources to improve your performance.
Additional Resources and Practice Questions
For more practice questions and useful resources, click on the link below. Make sure to subscribe to our Channel for helpful videos and free testing questions.
Frequently Asked Questions
Q: How can I access more testing questions?
A: You can access free testing questions by clicking on the link provided in the description.
Q: Are there resources available for the other sections of the 11 Plus Test?
A: Yes, we will create separate videos addressing each section of the test. Make sure to check them out as they are uploaded.
Q: How can I improve my performance in the 11 Plus Test?
A: Regular practice and familiarizing yourself with different question types are key. Explore additional resources and seek guidance to enhance your skills.