# Grade D ( Level 6 ) - Maths Basic Skills

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Questions: 19 | Attempts: 149  Settings  Our greatest weakness is giving up. The way to succeed is to try one more time.

• 1.

### Which is bigger: 3/8 or 0.38?

• A.

3/8

• B.

0.38

B. 0.38
Explanation
The correct answer is 0.38 because when comparing fractions and decimals, it is easier to compare decimals. In this case, 0.38 is equivalent to 38/100 or 19/50. Comparing 3/8 to 19/50, we can see that 19/50 is larger than 3/8. Therefore, 0.38 is bigger than 3/8.

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• 2.

### Which is bigger: 0.6  or 0.58?

• A.

0.6

• B.

0.58

A. 0.6
Explanation
0.6 is bigger than 0.58 because when comparing decimals, the number with more digits to the right of the decimal point is larger. In this case, 0.6 has one digit to the right of the decimal point, while 0.58 has two digits. Therefore, 0.6 is bigger.

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• 3.

### Increase £80 by 20%

96,£96,£ 96
Explanation
The given answer, 96, £96, £96, suggests that increasing £80 by 20% results in a value of £96. This can be calculated by multiplying £80 by 0.2 (20%) and adding the result to the original value. Therefore, the new value after the increase would be £96.

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• 4.

### Decrease £600 by 20%

480,£480,£ 480
Explanation
The given question asks to decrease £600 by 20%. To calculate the decrease, we need to multiply £600 by 20% (or 0.20) and subtract the result from £600. £600 multiplied by 0.20 is £120, and subtracting this from £600 gives us £480. Therefore, the correct answer is £480. The repeated values of £480 in the answer are likely a formatting error or redundancy.

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• 5.

### Divide 25kg  in a ratio of 2:3:5

• A.

5.5kg : 7kg : 12.5kg

• B.

5.5kg : 7.5kg : 12.5kg

• C.

5kg : 7.5kg : 12.5kg

• D.

5kg : 7kg : 12kg

C. 5kg : 7.5kg : 12.5kg
• 6.

### Divide £42 in a ratio of 4:6

• A.

£16.20 : £25.80

• B.

£25.20 : £16.80

• C.

£25.80 : £16.20

• D.

£16.80 : £25.20

D. £16.80 : £25.20
Explanation
The given correct answer £16.80 : £25.20 is the correct ratio when dividing £42 in a ratio of 4:6. This can be determined by dividing £42 into 4 + 6 parts, which gives £4.20 per part. Multiplying £4.20 by 4 and 6 gives £16.80 and £25.20 respectively, resulting in the ratio £16.80 : £25.20.

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• 7.

### If 80% is 8km,  what is the full distance?

10,10km,10 km
Explanation
If 80% of the full distance is 8km, it means that 80% of the full distance is equal to 8km. To find the full distance, we can set up a proportion. Let x represent the full distance. We can write the proportion as 80/100 = 8/x. Cross-multiplying gives us 80x = 800. Dividing both sides by 80 gives us x = 10. Therefore, the full distance is 10km.

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• 8.

### If a litre of water is provided for 20 people, how many litres for 50 people?

2.5,2.5litres,2.5 litres,2.5l,2.5 l
Explanation
If a litre of water is provided for 20 people, then the amount of water required for 50 people would be the same as the ratio of people. So, we can calculate it by multiplying the amount of water for 20 people (1 litre) by the ratio of people (50/20). This gives us 2.5 litres of water required for 50 people.

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• 9.

### Work out four fifths minus one quarter

11/20,11 / 20, 11/ 20, 11 /20
Explanation
The question asks to subtract one quarter from four fifths. To do this, we need to find a common denominator for both fractions, which is 20. Then, we convert four fifths to 16/20 and one quarter to 5/20. Subtracting 5/20 from 16/20 gives us 11/20. Therefore, the answer is 11/20.

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• 10.

### Work out five multiplied by three quarters

3 3/4,15/4,15 /14,15/ 14, 15 / 14,Three and three quarters,three and three quarters
Explanation
The question asks to work out five multiplied by three quarters. Multiplying five by three quarters means multiplying five by 3/4. To do this, we can multiply the numerators (5 * 3 = 15) and multiply the denominators (1 * 4 = 4). So, five multiplied by three quarters is equal to 15/4 or 3 3/4.

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• 11.

### If x = 3, calculate the value of: x2 -  x

6
Explanation
When x = 3, substituting the value in the expression x^2 - x gives us 3^2 - 3 = 9 - 3 = 6. Therefore, the value of the expression is 6.

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• 12.

5
• 13.

### If x = -3, calculate the value of: x2 -  x

12
Explanation
When we substitute x = -3 into the expression x^2 - x, we get (-3)^2 - (-3) = 9 + 3 = 12. Therefore, the value of x^2 - x when x = -3 is 12.

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• 14.

### Solve: 2x + 3 = - 1

-2
Explanation
To solve the equation 2x + 3 = -1, we need to isolate the variable x. First, we subtract 3 from both sides of the equation to get 2x = -4. Then, we divide both sides by 2 to solve for x. This gives us x = -2. Therefore, the correct answer is -2.

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• 15.

### Find the nth term of this sequence          8     12    16    20   24   ...

4n+4
Explanation
The given sequence is an arithmetic sequence with a common difference of 4. The first term is 8, and each subsequent term is obtained by adding 4 to the previous term. Therefore, the nth term of the sequence can be found using the formula 4n + 4, where n represents the position of the term in the sequence.

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• 16.

### If T(n) = 2n - 7, what is the 5th term?

3
Explanation
The given function T(n) = 2n - 7 represents a sequence where each term is obtained by multiplying the position number (n) by 2 and then subtracting 7. To find the 5th term, we substitute n = 5 into the function. T(5) = 2(5) - 7 = 10 - 7 = 3. Therefore, the 5th term in the sequence is 3.

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• 17.

### If y=3x - 5, find the value of y when x = -1

-8
Explanation
To find the value of y when x = -1, we substitute -1 into the equation y = 3x - 5. This gives us y = 3(-1) - 5. Simplifying, we get y = -3 - 5, which equals -8. Therefore, the value of y when x = -1 is -8.

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• 18.

### Y = 2x - 5 is the equation of a straight line graph. Where does it cross the y-axis ?

-5
Explanation
The equation y = 2x - 5 represents a straight line graph. The y-intercept of a line is the point where it crosses the y-axis. In this case, the y-intercept is -5, which means the line crosses the y-axis at the point (0, -5). This can be determined by setting x = 0 in the equation and solving for y.

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• 19.

### Calculate the area of a circle with diameter of 6cm ( Use π = 3 ) Back to top