Grade D ( Level 6 ) - Maths Basic Skills
Our greatest weakness is giving up. The way to succeed is to try one more time.
Questions and Answers
- 1.
Which is bigger: 3/8 or 0.38?
- A.
3/8
- B.
0.38
Correct Answer
B. 0.38Explanation
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.Rate this question:
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- 2.
Which is bigger: 0.6 or 0.58?
- A.
0.6
- B.
0.58
Correct Answer
A. 0.6Explanation
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.Rate this question:
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- 3.
Increase £80 by 20%
Correct Answer
96,£96,£ 96Explanation
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.Rate this question:
- 4.
Decrease £600 by 20%
Correct Answer
480,£480,£ 480Explanation
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.Rate this question:
- 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
Correct Answer
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
Correct Answer
D. £16.80 : £25.20Explanation
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.Rate this question:
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- 7.
If 80% is 8km, what is the full distance?
Correct Answer
10,10km,10 kmExplanation
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.Rate this question:
- 8.
If a litre of water is provided for 20 people, how many litres for 50 people?
Correct Answer
2.5,2.5litres,2.5 litres,2.5l,2.5 lExplanation
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.Rate this question:
- 9.
Work out four fifths minus one quarter
Correct Answer
11/20,11 / 20, 11/ 20, 11 /20Explanation
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.Rate this question:
- 10.
Work out five multiplied by three quarters
Correct Answer
3 3/4,15/4,15 /14,15/ 14, 15 / 14,Three and three quarters,three and three quartersExplanation
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.Rate this question:
- 11.
If x = 3, calculate the value of: x2 - x
Correct Answer
6Explanation
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.Rate this question:
- 12.
Solve: 2(x – 2) = 6
Correct Answer
5 - 13.
If x = -3, calculate the value of: x2 - x
Correct Answer
12Explanation
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.Rate this question:
- 14.
Solve: 2x + 3 = - 1
Correct Answer
-2Explanation
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.Rate this question:
- 15.
Find the nth term of this sequence 8 12 16 20 24 ...
Correct Answer
4n+4Explanation
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.Rate this question:
- 16.
If T(n) = 2n - 7, what is the 5th term?
Correct Answer
3Explanation
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.Rate this question:
- 17.
If y=3x - 5, find the value of y when x = -1
Correct Answer
-8Explanation
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.Rate this question:
- 18.
Y = 2x - 5 is the equation of a straight line graph. Where does it cross the y-axis ?
Correct Answer
-5Explanation
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.Rate this question:
- 19.
Calculate the area of a circle with diameter of 6cm ( Use π = 3 )
Correct Answer
27 cm²Explanation
To calculate the area of a circle, we use the formula A = πr², where A is the area and r is the radius of the circle. In this case, the diameter is given as 6 cm, so the radius would be half of that, which is 3 cm. Substituting the value of the radius into the formula, we get A = 3.14 * (3 cm)² = 28.26 cm². However, the question specifies to use π = 3, so substituting that value, we get A = 3 * (3 cm)² = 27 cm². Therefore, the correct answer is 27 cm².Rate this question:
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