So you are familiar with the symbols used in KS3 Maths - plus (+), minus (-), times (x), divide (÷) and equals (=). You'll also have come across some more unusual ones like squared (2), cubed (3), square root (√) and cube root (∛). But there are some other symbols which you are (hopefully!) aware of which you'll see a lot of in algebra - the signs for inequalities: less than (<), greater than (>), less than or equal to (≤) and greater than or equal to (≥).
This quiz deals with the relationships of one item to another. We use the inequalities symbols to show how numbers (often variables) compare to one another. First we look at the symbols involved, just to make sure you recognise each one. After that you'll find some algebraic questions you will undoubtedly enjoy answering!
Take your time with the following 10 questions. You may think this quiz is very easy, but don't be fooled! Over confidence can lead to silly mistakes for the unwary. Good luck!
1.
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< is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
2.
|
> is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
3.
|
≤ is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
4.
|
≥ is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
5.
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If x > 3, what is the smallest integer that x can be? |
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|
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6.
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If x ≥ 19, which of the following numbers is not possible for the value of x? |
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[ ] |
18 |
[ ] |
19 |
[ ] |
20 |
[ ] |
21 |
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7.
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If 4x + 3 < 15, which of the following expressions are incorrect? |
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[ ] |
4x < 15 - 3 |
[ ] |
4x < 12 |
[ ] |
x < 3 |
[ ] |
x > 3 |
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8.
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If 4x - 7 < 17, which of the following expressions are incorrect? |
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[ ] |
4x < 17 + 7 |
[ ] |
4x < 24 |
[ ] |
x > 6 |
[ ] |
x < 6 |
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9.
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If 16x - 5 > 59, which of the following is correct? |
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[ ] |
16x > 64 |
[ ] |
16x > 59 |
[ ] |
16x < 59 |
[ ] |
16x < 64 |
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10.
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If 9x + 40 > 140 which of these is correct? |
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[ ] |
9x - 40 > 140 |
[ ] |
9x > 100 |
[ ] |
9x < 100 |
[ ] |
x > 20 |
|
|
1.
|
< is the sign that means what? |
|
[x] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
2.
|
> is the sign that means what? |
|
[ ] |
Less than |
[x] |
Greater than |
[ ] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
3.
|
≤ is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[x] |
Less than or equal to |
[ ] |
Greater than or equal to |
|
|
4.
|
≥ is the sign that means what? |
|
[ ] |
Less than |
[ ] |
Greater than |
[ ] |
Less than or equal to |
[x] |
Greater than or equal to |
|
|
5.
|
If x > 3, what is the smallest integer that x can be? |
|
|
|
6.
|
If x ≥ 19, which of the following numbers is not possible for the value of x? |
|
[x] |
18 |
[ ] |
19 |
[ ] |
20 |
[ ] |
21 |
|
|
7.
|
If 4x + 3 < 15, which of the following expressions are incorrect? |
|
[ ] |
4x < 15 - 3 |
[ ] |
4x < 12 |
[ ] |
x < 3 |
[x] |
x > 3 |
|
|
8.
|
If 4x - 7 < 17, which of the following expressions are incorrect? |
|
[ ] |
4x < 17 + 7 |
[ ] |
4x < 24 |
[x] |
x > 6 |
[ ] |
x < 6 |
|
|
9.
|
If 16x - 5 > 59, which of the following is correct? |
|
[x] |
16x > 64 |
[ ] |
16x > 59 |
[ ] |
16x < 59 |
[ ] |
16x < 64 |
|
|
10.
|
If 9x + 40 > 140 which of these is correct? |
|
[ ] |
9x - 40 > 140 |
[x] |
9x > 100 |
[ ] |
9x < 100 |
[ ] |
x > 20 |
|
|