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Question 06 - St Anselms College 2021 11 Plus Maths Sample Paper 1

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How to represent numbers on the number line?

1. Number Lines:

1.1 What are number lines?

Number Lines are straight lines with numbers equally spread in order.

  • Number Lines can be horizontal and vertical.
  • In the middle, 0 represents the origin, positive numbers appear when moving the right side on a number line 
  • Negative numbers appear when moving the left side on a number line.

11+ Topicwise Number Line Article Image 01

1.2 Measurement with number lines: 

  • First draw a line either horizontal or vertical.
  • Choose a scale and make divisions accordingly.
  • Mark the points at equal intervals.
  • Recognize the given number and highlight it.

2. How to find the missing value on the number line?

Steps:

  • Count the total number of divisions between the given numbers.
  • Divide the difference between two given numbers by the number of divisions, to get the length of each division.
  • Use this length of division to work out the missing value.

Example:

a) What number does the arrow represent on the number line?

11+ Topicwise Number Line Article Image 02

Difference between 6 and 9 = 3

Number of divisions between 6 and 9 = 6

Length of each division = 3⁄6 = 0.5

Length of second division = 2 ✖ 5 = 1.0

Missing value =  6 + 1 = 7

b) What number does the arrow represent on the number line?

11+ Topicwise Number Line Article Image 03

The gap between two consecutive lines = 3.2 - 3 = 0.2

Number of lines to reach the right box from 3 = 3

Number for the right arrow, 3 + 3 × 0.2 = 3.6

Number of lines to reach the left box from 3 = 1

Number for the left arrow, 3 - 1 × 0.2 = 2.8

c) What number does the arrow represent on the number line?

11+ Topicwise Number Line Article Image 04

The gap between the consecutive two lines represent a fraction 3 1⁄4 - 3 = 1⁄4

Number of lines to reach right box from 3 = 3

Number for the right box, 3 + 3 × 1⁄4 = 3 3⁄4

Number of lines to reach left box from 3 = 2

Number for the left box, 3 - 2 × 1⁄4 = 5⁄2 = 2 1⁄2

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    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
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    • Measurement.
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