Mixed Topic Worksheet Grades 4/5: Day 073
- 1
Question 1. Mo says that the point (2, 8) is on the line y = 2x + 3.
Is Mo correct?
You must show your working.Sketching Straight Lines Using Tables▶ Show worked answerHide worked answer
- M1: 2 × 2 + 3 = 7
- A1: no, because 7 ≠ 8
Answer: No. When x = 2, y = 2 × 2 + 3 = 7, which is not 8.[2 marks] - 2
Question 2. Triangle P has a side of length 4 cm.
Triangle Q is an enlargement of triangle P.
The matching side of triangle Q is 20 cm long.
Work out the scale factor of the enlargement.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: 20 ÷ 4
- A1: scale factor 5
Answer: 5[2 marks] - 3
Question 3. Work out 1dfrac12 × 2dfrac23
Multiplying Mixed Numbers▶ Show worked answerHide worked answer
- M1: 1dfrac12=dfrac1×2+12 and 2dfrac23=dfrac2×3+23
- M1: dfrac32 × dfrac83 = dfrac246
- A1: 4
Answer: 4[3 marks] - 4
Question 4. x : y = 3 : 4
y : z = 8 : 5
Write x : y : zCombining Ratios▶ Show worked answerHide worked answer
- M1: 3 : 4 = 6 : 8
- A1: 6 : 8 : 5
Answer: 6 : 8 : 5[2 marks] - 5
Question 5. Factorise x² + 2x - 15
Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: 5 × (-3) = -15 and 5 + (-3) = 2
- A1: (x + 5)(x - 3)
Answer: (x + 5)(x - 3)[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 073
- 1
Question 1. Mo says that the point (2, 8) is on the line y = 2x + 3.
[2 marks]
Is Mo correct?
You must show your working.Sketching Straight Lines Using Tables▶ Show worked answerHide worked answer
- M1: 2 × 2 + 3 = 7
- A1: no, because 7 ≠ 8
Answer: No. When x = 2, y = 2 × 2 + 3 = 7, which is not 8. - 2
Question 2. Triangle P has a side of length 4 cm.
[2 marks]
Triangle Q is an enlargement of triangle P.
The matching side of triangle Q is 20 cm long.
Work out the scale factor of the enlargement.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: 20 ÷ 4
- A1: scale factor 5
Answer: 5 - 3
Question 3. Work out 1dfrac12 × 2dfrac23
[3 marks]Multiplying Mixed Numbers▶ Show worked answerHide worked answer
- M1: 1dfrac12=dfrac1×2+12 and 2dfrac23=dfrac2×3+23
- M1: dfrac32 × dfrac83 = dfrac246
- A1: 4
Answer: 4 - 4
Question 4. x : y = 3 : 4
[2 marks]
y : z = 8 : 5
Write x : y : zCombining Ratios▶ Show worked answerHide worked answer
- M1: 3 : 4 = 6 : 8
- A1: 6 : 8 : 5
Answer: 6 : 8 : 5 - 5
Question 5. Factorise x² + 2x - 15
[2 marks]Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: 5 × (-3) = -15 and 5 + (-3) = 2
- A1: (x + 5)(x - 3)
Answer: (x + 5)(x - 3)
Mixed Topic Worksheet Grades 4/5: Day 073
- 1
Question 1. Mo says that the point (2, 8) is on the line y = 2x + 3.
Is Mo correct?
You must show your working.Sketching Straight Lines Using Tables▶ Show worked answerHide worked answer
- M1: 2 × 2 + 3 = 7
- A1: no, because 7 ≠ 8
Answer: No. When x = 2, y = 2 × 2 + 3 = 7, which is not 8.[2 marks] - 2
Question 2. Triangle P has a side of length 4 cm.
Triangle Q is an enlargement of triangle P.
The matching side of triangle Q is 20 cm long.
Work out the scale factor of the enlargement.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: 20 ÷ 4
- A1: scale factor 5
Answer: 5[2 marks] - 3
Question 3. Work out 1dfrac12 × 2dfrac23
Multiplying Mixed Numbers▶ Show worked answerHide worked answer
- M1: 1dfrac12=dfrac1×2+12 and 2dfrac23=dfrac2×3+23
- M1: dfrac32 × dfrac83 = dfrac246
- A1: 4
Answer: 4[3 marks] - 4
Question 4. x : y = 3 : 4
y : z = 8 : 5
Write x : y : zCombining Ratios▶ Show worked answerHide worked answer
- M1: 3 : 4 = 6 : 8
- A1: 6 : 8 : 5
Answer: 6 : 8 : 5[2 marks] - 5
Question 5. Factorise x² + 2x - 15
Factorising Double Brackets▶ Show worked answerHide worked answer
- M1: 5 × (-3) = -15 and 5 + (-3) = 2
- A1: (x + 5)(x - 3)
Answer: (x + 5)(x - 3)[2 marks]