Mixed Topic Worksheet Grades 4/5: Day 035
- 1
Question 1. Sam and Tia are given some money in the ratio 5 : 4
Sam is given £35
Work out how much money Tia is given.Scaling Up Ratios▶ Show worked answerHide worked answer
- M1: 35 ÷ 5 = 7
- A1: £28
Answer: £28[2 marks] - 2
Question 2. Work out 5dfrac34 - 2dfrac13
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5 - 2 = 3 and dfrac34=dfrac912, dfrac13=dfrac412
- A1: 3dfrac512
Answer: 3dfrac512[2 marks] - 3
Question 3. BD is the bisector of angle ABC.
Angle ABD = (3x + 4)^°
Angle DBC = (5x - 12)^°
Work out the size of angle ABC.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- M1: 3x + 4 = 5x - 12 so x = 8
- A1: ABC = 2 × (3 × 8 + 4) = 56
Answer: 56[2 marks] - 4
Question 4. Work out the exact value of 6cos 30^° × tan 30^°.
Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: 6 × dfrac√32 × dfrac√33
- A1: 3
Answer: 3[2 marks] - 5
Question 5. Solve 3x² = 12x [3]
Solving Quadratics by Factorising When c = 0▶ Show worked answerHide worked answer
- M1: 3x² - 12x = 0
- M1: 3x(x - 4) = 0
- A1: x = 0 or x = 4
Answer: x = 0 or x = 4[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 035
- 1
Question 1. Sam and Tia are given some money in the ratio 5 : 4
[2 marks]
Sam is given £35
Work out how much money Tia is given.Scaling Up Ratios▶ Show worked answerHide worked answer
- M1: 35 ÷ 5 = 7
- A1: £28
Answer: £28 - 2
Question 2. Work out 5dfrac34 - 2dfrac13
[2 marks]
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5 - 2 = 3 and dfrac34=dfrac912, dfrac13=dfrac412
- A1: 3dfrac512
Answer: 3dfrac512 - 3
Question 3. BD is the bisector of angle ABC.
[2 marks]
Angle ABD = (3x + 4)^°
Angle DBC = (5x - 12)^°
Work out the size of angle ABC.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- M1: 3x + 4 = 5x - 12 so x = 8
- A1: ABC = 2 × (3 × 8 + 4) = 56
Answer: 56 - 4
Question 4. Work out the exact value of 6cos 30^° × tan 30^°.
[2 marks]Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: 6 × dfrac√32 × dfrac√33
- A1: 3
Answer: 3 - 5
Question 5. Solve 3x² = 12x [3]
[3 marks]Solving Quadratics by Factorising When c = 0▶ Show worked answerHide worked answer
- M1: 3x² - 12x = 0
- M1: 3x(x - 4) = 0
- A1: x = 0 or x = 4
Answer: x = 0 or x = 4
Mixed Topic Worksheet Grades 4/5: Day 035
- 1
Question 1. Sam and Tia are given some money in the ratio 5 : 4
Sam is given £35
Work out how much money Tia is given.Scaling Up Ratios▶ Show worked answerHide worked answer
- M1: 35 ÷ 5 = 7
- A1: £28
Answer: £28[2 marks] - 2
Question 2. Work out 5dfrac34 - 2dfrac13
Give your answer as a mixed number in its simplest form.Subtracting Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5 - 2 = 3 and dfrac34=dfrac912, dfrac13=dfrac412
- A1: 3dfrac512
Answer: 3dfrac512[2 marks] - 3
Question 3. BD is the bisector of angle ABC.
Angle ABD = (3x + 4)^°
Angle DBC = (5x - 12)^°
Work out the size of angle ABC.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- M1: 3x + 4 = 5x - 12 so x = 8
- A1: ABC = 2 × (3 × 8 + 4) = 56
Answer: 56[2 marks] - 4
Question 4. Work out the exact value of 6cos 30^° × tan 30^°.
Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: 6 × dfrac√32 × dfrac√33
- A1: 3
Answer: 3[2 marks] - 5
Question 5. Solve 3x² = 12x [3]
Solving Quadratics by Factorising When c = 0▶ Show worked answerHide worked answer
- M1: 3x² - 12x = 0
- M1: 3x(x - 4) = 0
- A1: x = 0 or x = 4
Answer: x = 0 or x = 4[3 marks]