Grades 2-5

2. MARK MAXIMISER 2345 – 2M Date: /22 ① ② ③ In a bag there are 8 red cubes & 48 black cubes. One cube is picked at random. What is the probability a black cube is picked? Simplify your answer. Find Write 8% as a fraction in its simplest form. Find 2 2 2 ④ ⑤ ⑥ Logan gets paid £12.55 per hour. He usually works 46 hours a week. Estimate how much Logan earns per week. Hugh is 12 years old. Ruth is 6 years older than Hugh. Sam is 3 years older than Ruth. Create & simplify a ratio to express the ages of Hugh, Ruth & Sam. A number, , is rounded to 2 decimal places. The result is 9.64 Write down the error interval for . 1 2 2 ⑦ ⑧ ⑨ Mo invests £340 and gets 7% simple interest per year. How much money does Mo make from the investment after 2 years? What is the size of angle ? Give a reason for your answer. The table shows the grades for a group of students. 44° 2 2 Volume of a sphere = ⑩ ⑪ Make the subject of this formula. Calculate the volume of this sphere (2 sf). Calculate the mean grade for the group of students (1 dp). 11 cm 2 2 3

3. MARK MAXIMISER 2345 – 2M Date: /22 ① ② ③ In a bag there are 8 red cubes & 48 black cubes. One cube is picked at random. What is the probability a black cube is picked? Simplify your answer. Find Write 8% as a fraction in its simplest form. 12.89 Find 3.8 2 2 2 ④ ⑤ ⑥ Logan gets paid £12.55 per hour. He usually works 46 hours a week. Estimate how much Logan earns per week. Hugh is 12 years old. Ruth is 6 years older than Hugh. Sam is 3 years older than Ruth. Create & simplify a ratio to express the ages of Hugh, Ruth & Sam. A number, , is rounded to 2 decimal places. The result is 9.64 Write down the error interval for . 10 × 50 = £500 9.635 ⩽ 9.645 12:18:21 = 4:6:7 1 2 2 ⑦ ⑧ ⑨ Mo invests £340 and gets 7% simple interest per year. How much money does Mo make from the investment after 2 years? What is the size of angle ? Give a reason for your answer. The table shows the grades for a group of students. 44° 2 2 Volume of a sphere = ⑩ ⑪ Make the subject of this formula. Calculate the volume of this sphere (2 sf). Calculate the mean grade for the group of students (1 dp). 11 cm 2 2 3

4. MARK MAXIMISER 2345 – 2M Date: /22 ① ② ③ In a bag there are 8 red cubes & 48 black cubes. One cube is picked at random. What is the probability a black cube is picked? Simplify your answer. Find Write 8% as a fraction in its simplest form. 12.89 Find 3.8 2 2 2 ④ ⑤ ⑥ Logan gets paid £12.55 per hour. He usually works 46 hours a week. Estimate how much Logan earns per week. Hugh is 12 years old. Ruth is 6 years older than Hugh. Sam is 3 years older than Ruth. Create & simplify a ratio to express the ages of Hugh, Ruth & Sam. A number, , is rounded to 2 decimal places. The result is 9.64 Write down the error interval for . 10 × 50 = £500 9.635 ⩽ 9.645 12:18:21 = 4:6:7 1 2 2 ⑦ ⑧ ⑨ Mo invests £340 and gets 7% simple interest per year. How much money does Mo make from the investment after 2 years? What is the size of angle ? Give a reason for your answer. The table shows the grades for a group of students. Total grade score 7% of £340 = £23.80 12 44° 44° £23.80 × 2 = £47.60 24 Corresponding Angles are equal 2 2 35 Volume of a sphere = ⑩ ⑪ Make the subject of this formula. 60 Calculate the volume of this sphere (2 sf). = 131 27 Calculate the mean grade for the group of students (1 dp). 700 cm3 11 cm 131 ÷ 27 = 4.9 2 2 3

5. MARK MAXIMISER 2345 – 2N Date: /23 ① ② ③ This shape is made from congruent rectangles. The total area is 80 cm2. Simplify Write as a fraction in its simplest form. Simplify What is the shape’s perimeter? 1 3 2 ④ ⑤ ⑥ Work out Change 800 m to km. Find 65% of £1200 Find 4% of 82 Change 4.5 litres to millilitres. 2 2 2 ⑦ ⑧ ⑨ This is a rectangle. AB = 9 cm Find the length of the rectangle (1 dp). In a lottery, a ticket gives a 0.14 probability of winning a prize. From 800 tickets, how many do we expect to win? Enlarge shape A by scale factor 3, centre (5, −3). A 3 cm B 2 2 ⑩ ⑪ A 300 cm3 cube of metal weighs 1.68 kg. Express the metal’s density using the correct units. Find the equation of this line. A 3 2 3

6. MARK MAXIMISER 2345 – 2N Date: /23 ① ② ③ This shape is made from congruent rectangles. The total area is 80 cm2. Simplify Write as a fraction in its simplest form. 80 ÷ 5 = 16 cm2 2 cm 8 cm Simplify 36 cm What is the shape’s perimeter? 1 3 2 ④ ⑤ ⑥ Work out Change 800 m to km. Find 65% of £1200 £780 0.8 km Find 4% of 82 Change 4.5 litres to millilitres. 3.28 4500 ml 2 2 2 ⑦ ⑧ ⑨ This is a rectangle. AB = 9 cm Find the length of the rectangle (1 dp). In a lottery, a ticket gives a 0.14 probability of winning a prize. From 800 tickets, how many do we expect to win? Enlarge shape A by scale factor 3, centre (5, −3). A 3 cm B 2 2 ⑩ ⑪ A 300 cm3 cube of metal weighs 1.68 kg. Express the metal’s density using the correct units. Find the equation of this line. A 3 2 3

7. MARK MAXIMISER 2345 – 2N Date: /23 ① ② ③ This shape is made from congruent rectangles. The total area is 80 cm2. Simplify Write as a fraction in its simplest form. 80 ÷ 5 = 16 cm2 2 cm 8 cm Simplify 36 cm What is the shape’s perimeter? 1 3 2 ④ ⑤ ⑥ Work out Change 800 m to km. Find 65% of £1200 £780 0.8 km Find 4% of 82 Change 4.5 litres to millilitres. 3.28 4500 ml 2 2 2 ⑦ ⑧ ⑨ This is a rectangle. AB = 9 cm Find the length of the rectangle (1 dp). In a lottery, a ticket gives a 0.14 probability of winning a prize. From 800 tickets, how many do we expect to win? Enlarge shape A by scale factor 3, centre (5, −3). A 3 cm 0.14 × 800 = B 112 cm 2 2 ⑩ ⑪ A 300 cm3 cube of metal weighs 1.68 kg. Express the metal’s density using the correct units. Find the equation of this line. Density = mass ÷ volume A = 1680 ÷ 300 = 5.6 g/cm3 3 2 3

8. MARK MAXIMISER 2345 – 2O Date: /22 ① ② ③ At a sandwich shop, customers can choose the type of bread (3 choices) and the filling (4 choices). How many different sandwiches are on offer at the shop? This pie chart shows how Jay used his income last month. Simplify Jay’s income was £780. How much did he save? Bills Rent Simplify 30° Savings 1 2 2 ④ ⑤ ⑥ Ned exchanged Euros to British pounds. £1 = €1.12 Ned exchanged € 340. How many British pounds did she get? Find the area of this shape. Solve 6 cm 9.4 cm Solve 5 cm 14 cm 2 2 2 ⑦ ⑧ ⑨ Factorise This cylinder has a diameter of 3 cm. Calculate its volume (3 sf). Students were asked if they had a brother. 57 students didn’t have a brother. 5 Year 7 students had a brother. Complete the frequency tree. brother Simplify 18 cm Year 7 no brother 2 2 90 ⑩ ⑪ a = b = Write down a + b as a column vector. Solve brother Year 8 no brother 30 What fraction of the Year 8 students had a brother? 2 2 3

9. MARK MAXIMISER 2345 – 2O Date: /22 ① ② ③ At a sandwich shop, customers can choose the type of bread (3 choices) and the filling (4 choices). How many different sandwiches are on offer at the shop? This pie chart shows how Jay used his income last month. Simplify Jay’s income was £780. How much did he save? Bills Rent 780 ÷ 12 = £65 Simplify 3 × 4 = 12 30° Savings 1 2 2 ④ ⑤ ⑥ Ned exchanged Euros to British pounds. £1 = €1.12 Ned exchanged € 340. How many British pounds did she get? Find the area of this shape. Solve 6 cm 9.4 cm Solve 5 cm 340 ÷ 1.12 = £303.57 = 50 cm2 30 20 14 cm 2 2 2 ⑦ ⑧ ⑨ Factorise This cylinder has a diameter of 3 cm. Calculate its volume (3 sf). Students were asked if they had a brother. 57 students didn’t have a brother. 5 Year 7 students had a brother. Complete the frequency tree. brother Simplify 18 cm Year 7 no brother 2 2 90 ⑩ ⑪ a = b = Write down a + b as a column vector. Solve brother Year 8 no brother 30 What fraction of the Year 8 students had a brother? 2 2 3

10. MARK MAXIMISER 2345 – 2O Date: /22 ① ② ③ At a sandwich shop, customers can choose the type of bread (3 choices) and the filling (4 choices). How many different sandwiches are on offer at the shop? This pie chart shows how Jay used his income last month. Simplify Jay’s income was £780. How much did he save? Bills Rent 780 ÷ 12 = £65 Simplify 3 × 4 = 12 30° Savings 1 2 2 ④ ⑤ ⑥ Ned exchanged Euros to British pounds. £1 = €1.12 Ned exchanged € 340. How many British pounds did she get? Find the area of this shape. Solve 6 cm 9.4 cm Solve 5 cm 340 ÷ 1.12 = £303.57 = 50 cm2 30 20 14 cm 2 2 2 ⑦ ⑧ ⑨ Factorise This cylinder has a diameter of 3 cm. Calculate its volume (3 sf). Students were asked if they had a brother. 57 students didn’t have a brother. 5 Year 7 students had a brother. Complete the frequency tree. brother Simplify 18 cm 127 cm3 Year 7 5 32 no brother 2 2 90 27 ⑩ ⑪ a = b = Write down a + b as a column vector. Solve brother 28 Year 8 58 no brother 30 What fraction of the Year 8 students had a brother? 1 dp 2 2 3

11. MARK MAXIMISER 2345 – 2P Date: /24 ① ② ③ Find This is a function machine. Find of 66. input output Find Give your answer to 2 decimal places. Find of 12. What is the output when the input is 1.5? What is the input when the output is 20? 2 2 2 ④ ⑤ ⑥ The radius of a circle is 6 metres. Find the circumference of the circle (1 dp). Work out The same shampoo is available in small and large bottles. + 2 × 4 Show the large bottle is better value. 3 2 2 ⑦ ⑧ ⑨ On the grid, draw the graph of Sketch the front elevation of this solid shape. Write 420 as a product of its prime factors. Small 400 ml for £1.52 Large 1 L for £3.45 2 2 A ⑩ ⑪ Find length AB (1 dp). Solve the simultaneous equations 68° B C 6 m 2 3 2

12. MARK MAXIMISER 2345 – 2P Date: /24 ① ② ③ Find This is a function machine. Find of 66. 19.683 42 input output Find Give your answer to 2 decimal places. 14 Find of 12. What is the output when the input is 1.5? 3.6 3 3.65 What is the input when the output is 20? 2 2 2 ④ ⑤ ⑥ The radius of a circle is 6 metres. Find the circumference of the circle (1 dp). Work out The same shampoo is available in small and large bottles. × (2 × 6) + 2 × 4 Show the large bottle is better value. 37.7 cm 100 ml = 38p 100 ml = 34.5p 3 2 2 ⑦ ⑧ ⑨ On the grid, draw the graph of Sketch the front elevation of this solid shape. Write 420 as a product of its prime factors. Small 400 ml for £1.52 Large 1 L for £3.45 2 2 A ⑩ ⑪ Find length AB (1 dp). Solve the simultaneous equations 68° B C 6 m 2 3 2

13. MARK MAXIMISER 2345 – 2P Date: /24 ① ② ③ Find This is a function machine. Find of 66. 19.683 42 input output Find Give your answer to 2 decimal places. 14 Find of 12. What is the output when the input is 1.5? 3.6 3 3.65 What is the input when the output is 20? 2 2 2 ④ ⑤ ⑥ The radius of a circle is 6 metres. Find the circumference of the circle (1 dp). Work out The same shampoo is available in small and large bottles. × (2 × 6) × 4 + 2 Show the large bottle is better value. 37.7 cm 100 ml = 38p 100 ml = 34.5p 3 2 2 ⑦ ⑧ ⑨ On the grid, draw the graph of Sketch the front elevation of this solid shape. Write 420 as a product of its prime factors. Small 400 ml for £1.52 Large 1 L for £3.45 22 × 3 × 5 × 7 2 2 A ⑩ ⑪ Find length AB (1 dp). Solve the simultaneous equations 68° B C 6 m AB = 6.5 m 2 3 2

15. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

18. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

20. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

22. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk