Find 14 of 256
Worked Solution & Answer
256 ÷ 4 = 64 B1
Answer: 64
FDP — Notes & Worked Examples Show / Hide
Explanation:
Percent (%) means “out of 100”. To convert a decimal to a percentage, multiply by 100; to convert a percentage to a decimal, divide by 100. To convert a decimal to a fraction, use the place value of the last digit (tenths 110, hundredths 1100, thousandths 11000) and simplify.
To turn a fraction into a percentage, scale the denominator to 100 if it is a factor of 100 (2, 4, 5, 10, 20, 25, 50). Otherwise, divide the numerator by the denominator using short division to get a decimal first.
Example 1:
(a) Write 1725 as a percentage.
(b) Write 38 as a decimal and as a percentage.
Solution:
(a) Multiply top and bottom by 4 to make 100:
• 17 × 425 × 4 = 68100 = 68%
(b) Divide 3 by 8: 3.000 ÷ 8 = 0.375 = 37.5%
Example 2:
(a) Write 0.24 as a fraction in its simplest form.
(b) Write 3.5% as a decimal and a simplified fraction.
Solution:
(a) 0.24 = 24100 (divide by 4) → 625
(b) 3.5% ÷ 100 = 0.035
• Fraction: 351000 (divide by 5) → 7200
What fraction of the shape is shaded?
Worked Solution & Answer
Write the number in the group (or shaded parts) over the total number of equal parts: grouptotal.
e.g. 7 out of 20 is 720
49
e.g. 7 out of 20 is 720
49
Answer: 49
7 12 out of 16 squares shaded. What fraction of the shape is shaded in its simplest form?
What fraction of the shape is shaded?
Give your answer in its simplest form.
Give your answer in its simplest form.
Worked Solution & Answer
(a) Write 0.13 as a fraction. (1) (b) 16/20 = [ ]/5 (1)
(a) Write 0.13 as a fraction. [1 mark]
(b) Write a number in the box to make the statement correct. [1 mark]
Worked Solution & Answer
(a)
0.13 = 13/100 B1
Answer (a): 13100
(b)
16 ÷ 4 = 4 B1
Answer (b): 4
The diagram shows a square and its diagonals.
(a) Shade 14 of the square. [1 mark]
(b) What fraction of the rhombus is shaded? [1 mark]
(c) Write 0.9 as a fraction. [1 mark]
Worked Solution & Answer
(a)
1 out of 4 equal triangles shaded B1
Answer (a): 1 of the 4 triangles shaded
(b)
3 out of 4 equal triangles shaded = 3/4 B1
Answer (b): 34
(c)
0.9 = 9/10 B1
Answer (c): 910
Here is a shape made of squares.
(a) Shade 45 of the shape. [1 mark]
(b) Write 0.7 as a percentage. [1 mark]
%
(c) Write these decimals in order of size.
Start with the smallest decimal.
0.49 0.459 0.4 0.049 0.14 [1 mark]
Start with the smallest decimal.
0.49 0.459 0.4 0.049 0.14 [1 mark]
Worked Solution & Answer
(a)
(4/5) × 20 = 16 squares B1
Answer (a): 16 squares shaded
(b)
0.7 × 100 = 70% B1
Answer (b): 70 %
(c)
0.049, 0.140, 0.400, 0.459, 0.490 B1
Answer (c): 0.049, 0.14, 0.4, 0.459, 0.49
(a) Complete FDP table: 0.5 = 50%, 1/10 = 10%, 2/5 = 0.4. [3 marks]
5 (b) Grid of 20 squares with 15 shaded. What % is shaded? [1 mark]
5 (b) Grid of 20 squares with 15 shaded. What % is shaded? [1 mark]
(a) Complete the table to show equivalent fractions, decimals and percentages.
@@TABULAR0@@ [3 marks]
@@TABULAR0@@ [3 marks]
(b) What percentage of this grid is shaded? [1 mark]
Answer
%
Worked Solution & Answer
(a)
0.5 = 1/2 M1
1/10 = 0.1 M1
2/5 = 4/10 = 40% A1
1/10 = 0.1 M1
2/5 = 4/10 = 40% A1
Answer (a): Fraction: 1/2; Decimal: 0.1; Percentage: 40%
(b)
15 out of 20 squares shaded = 15/20 = 75/100 = 75% B1
Answer (b): Answer 75 %
(a) Write 0.6 as a percentage. (1) (b) Write 19/100 as a decimal. (1) (c) What fraction of this shape is shaded? Write your fraction in its simplest form. (2)
(a) Write 0.6 as a percentage. [1 mark]
%
(b) Write 19100 as a decimal. [1 mark]
(c) What fraction of this shape is shaded?
Write your fraction in its simplest form. [2 marks]
Write your fraction in its simplest form. [2 marks]
Worked Solution & Answer
(a)
0.6 × 100 = 60% B1
Answer (a): 60 %
(b)
19 ÷ 100 = 0.19 B1
Answer (b): 0.19
(c)
16/20 = 4/5 M1 A1
Answer (c): 45
Work out
(a) Shade 4/5 of this shape. (1) (b) Write 27/36 in simplest form. (1) (c) Write 3/100 as a decimal. (1) (d) Write 7/50 as a percentage. (1)
(a) Shade 4/5 of this shape. (1) (b) Write 27/36 in simplest form. (1) (c) Write 3/100 as a decimal. (1) (d) Write 7/50 as a percentage. (1)
(a) Shade 45 of this shape. [1 mark]
(b) Write 2736 as a fraction in its simplest form. [1 mark]
(c) Write 3100 as a decimal. [1 mark]
(d) Write 750 as a percentage. [1 mark]
%
Worked Solution & Answer
(a)
4/5 of 15 = 12 squares B1
Answer (a): 12 of the 15 squares shaded
(b)
Divide top and bottom by 9: 3/4 B1
Answer (b): 34
(c)
3 ÷ 100 = 0.03 B1
Answer (c): 0.03
(d)
7/50 = 14/100 = 14% B1
Answer (d): 14 %
Here is a shape made of squares.
(a) Shade 23 of the shape. [1 mark]
(b) Write 310 as a percentage. [1 mark]
%
(c) Write 48150 as a fraction in its simplest form. [1 mark]
(d) Write 467 as a mixed number. [1 mark]
Worked Solution & Answer
(a)
(2/3) × 12 = 8 squares B1
Answer (a): 8 squares shaded
(b)
3/10 = 30/100 = 30% B1
Answer (b): 30 %
(c)
Divide top and bottom by 6: 48/150 = 8/25 B1
Answer (c): 825
(d)
46 ÷ 7 = 6 remainder 4 → 6 4/7 B1
Answer (d): 647