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Maths · Grade 6 · Set A
More Than, Less Than
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Remember: An inequality names a whole set of answers. A ray shows them all, and the wide side of the sign faces the bigger number.

Read and write inequalities

1
Mia has less than 6 dollars. Let m stand for the dollars she has. Which inequality fits?
m > 6m < 6m = 6
2
Each dot is a whole number. The lines are A on top, B in the middle and C at the bottom. Which line has dots only on numbers that make x > 3 true?
ABC
3
Does 5 make x < 5 true?
YesNo
4
Sam read more than 5 pages. Let p stand for the pages. What is the smallest whole number p could be? Answer:
5
x < 8. What is the biggest whole number that x can be? Answer:

Many answers

6
How many numbers make x > 0 true?
Only one: 1Only the numbers marked on the lineInfinitely many: the list never ends
7
Join each sentence to its inequality.
  1. 1x is less than 9
  2. 2x is greater than 9
  3. 3x is less than 2
  4. 4x is greater than 2
  • Ax < 9
  • Bx > 9
  • Cx < 2
  • Dx > 2
8
It is colder than 2 degrees above zero. Let t stand for the temperature. Which inequality fits?
t < 2t > 2t = 2
9
The inequality 3 < x says the same as x > 3.
TrueFalse
10
Which number is not a solution of x > −2?
−10−31.5

Stretch

11
x > 2.5. What is the smallest whole number that x can be? Answer:
12
Write a short story that x < 10 could be about. Say what x stands for.
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Answer key · Set A
More Than, Less Than
1m < 6 Less than 6 is m < 6. The wide side of the sign faces the bigger number.
2C x > 3 means bigger than 3. 4, 5 and 6 fit. 3 itself does not, and 0, 1 and 2 are too small.
3No x < 5 means less than 5. The number 5 is not less than 5, so it is left out.
46 More than 5 does not include 5. The next whole number is 6.
57 Less than 8 does not include 8. The biggest whole number below it is 7.
6Infinitely many: the list never ends Every number past 0 fits, even 0.5 and 100.25 between the marks. The list never ends.
71-A, 2-B, 3-C, 4-D Less than uses <, greater than uses >. The wide side faces the bigger number.
8t < 2 Colder than 2 means a smaller number than 2, so t < 2.
9True 3 is less than x means x is greater than 3. Read it from the other end.
10−3 x > −2 means bigger than −2. −3 is smaller than −2, so it does not fit.
113 x must be more than 2.5. The first whole number past 2.5 is 3.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.