Mixed Topic Worksheet Grades 6/7: Day 006
- 1
Question 1. Complete the table of values for y = dfrac20x
x | 1 | 2 | 4 | 5 | 10 | 20
y | 20 | ... | 5 | ... | 2 | ...Sketching Reciprocal Graphs▶ Show worked answerHide worked answer
- B3: 10, 4, 1 (B2 for two correct, B1 for one correct)
Answer: 10, 4, 1[3 marks] - 2
Question 2. Here is part of a cumulative frequency graph for 60 suitcases.
(a) Plot (60, 54) and (70, 60). Complete the graph. [1]
(b) Estimate the median mass. [1]Plotting Cumulative Frequency Graphs▶ Show worked answerHide worked answer
- (a) B1: (60, 54) and (70, 60) plotted and all six points joined with a smooth curve or straight lines
- (b) B1: read across from 30 (half of 60): about 45 kg (accept 44 to 47)
Answer: (a) (60, 54) and (70, 60) plotted, points joined; (b) about 45 kg (accept 44 to 47)[2 marks] - 3
Question 3. Shapes A and B are drawn on the grid.
Shape B is the image of shape A under a single enlargement.
Give the full description of this enlargement.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B1: enlargement
- B1: scale factor -2
- B1: centre (5, 1)
Answer: Enlargement, scale factor -2, centre (5, 1)[3 marks] - 4
Question 4. When x = 2, y = 12.
When x = 4, y = 48.
When x = 5, y = 80.
Alice says that y is directly proportional to the square of x.
Is Alice correct?
You must show your working.Algebraic Direct Proportion▶ Show worked answerHide worked answer
- M1: 12 ÷ 2² = 3 and 48 ÷ 4² = 3
- M1: 80 ÷ 5² = 3.2
- A1: No, y ÷ x² is not the same each time (3.2 is not 3)
Answer: No[3 marks] - 5
Question 5. Express 4.dot2dot7 as a fraction in its simplest form.
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 423
- A1: x = dfrac4711
Answer: dfrac4711[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 006
- 1
Question 1. Complete the table of values for y = dfrac20x
[3 marks]
x | 1 | 2 | 4 | 5 | 10 | 20
y | 20 | ... | 5 | ... | 2 | ...Sketching Reciprocal Graphs▶ Show worked answerHide worked answer
- B3: 10, 4, 1 (B2 for two correct, B1 for one correct)
Answer: 10, 4, 1 - 2
Question 2. Here is part of a cumulative frequency graph for 60 suitcases.
[2 marks]
(a) Plot (60, 54) and (70, 60). Complete the graph. [1]
(b) Estimate the median mass. [1]Plotting Cumulative Frequency Graphs▶ Show worked answerHide worked answer
- (a) B1: (60, 54) and (70, 60) plotted and all six points joined with a smooth curve or straight lines
- (b) B1: read across from 30 (half of 60): about 45 kg (accept 44 to 47)
Answer: (a) (60, 54) and (70, 60) plotted, points joined; (b) about 45 kg (accept 44 to 47) - 3
Question 3. Shapes A and B are drawn on the grid.
[3 marks]
Shape B is the image of shape A under a single enlargement.
Give the full description of this enlargement.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B1: enlargement
- B1: scale factor -2
- B1: centre (5, 1)
Answer: Enlargement, scale factor -2, centre (5, 1) - 4
Question 4. When x = 2, y = 12.
[3 marks]
When x = 4, y = 48.
When x = 5, y = 80.
Alice says that y is directly proportional to the square of x.
Is Alice correct?
You must show your working.Algebraic Direct Proportion▶ Show worked answerHide worked answer
- M1: 12 ÷ 2² = 3 and 48 ÷ 4² = 3
- M1: 80 ÷ 5² = 3.2
- A1: No, y ÷ x² is not the same each time (3.2 is not 3)
Answer: No - 5
Question 5. Express 4.dot2dot7 as a fraction in its simplest form.
[3 marks]
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 423
- A1: x = dfrac4711
Answer: dfrac4711
Mixed Topic Worksheet Grades 6/7: Day 006
- 1
Question 1. Complete the table of values for y = dfrac20x
x | 1 | 2 | 4 | 5 | 10 | 20
y | 20 | ... | 5 | ... | 2 | ...Sketching Reciprocal Graphs▶ Show worked answerHide worked answer
- B3: 10, 4, 1 (B2 for two correct, B1 for one correct)
Answer: 10, 4, 1[3 marks] - 2
Question 2. Here is part of a cumulative frequency graph for 60 suitcases.
(a) Plot (60, 54) and (70, 60). Complete the graph. [1]
(b) Estimate the median mass. [1]Plotting Cumulative Frequency Graphs▶ Show worked answerHide worked answer
- (a) B1: (60, 54) and (70, 60) plotted and all six points joined with a smooth curve or straight lines
- (b) B1: read across from 30 (half of 60): about 45 kg (accept 44 to 47)
Answer: (a) (60, 54) and (70, 60) plotted, points joined; (b) about 45 kg (accept 44 to 47)[2 marks] - 3
Question 3. Shapes A and B are drawn on the grid.
Shape B is the image of shape A under a single enlargement.
Give the full description of this enlargement.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B1: enlargement
- B1: scale factor -2
- B1: centre (5, 1)
Answer: Enlargement, scale factor -2, centre (5, 1)[3 marks] - 4
Question 4. When x = 2, y = 12.
When x = 4, y = 48.
When x = 5, y = 80.
Alice says that y is directly proportional to the square of x.
Is Alice correct?
You must show your working.Algebraic Direct Proportion▶ Show worked answerHide worked answer
- M1: 12 ÷ 2² = 3 and 48 ÷ 4² = 3
- M1: 80 ÷ 5² = 3.2
- A1: No, y ÷ x² is not the same each time (3.2 is not 3)
Answer: No[3 marks] - 5
Question 5. Express 4.dot2dot7 as a fraction in its simplest form.
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 423
- A1: x = dfrac4711
Answer: dfrac4711[3 marks]