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Elementary 3 Excellence In All We Do… E3.1 Round numbers and measures to an appropriate degree of accuracy Excellence In All We Do… 3.1a Round numbers and measures to an appropriate degree of accuracy 1) Round 2.9848 to 2 decimal places 2) Round 6.778889 to 3 decimal places 3) Round 1629 to 1 significant figure 4) Round 23893 to 2 significant figures 5) Round 0.0146 to 1 significant figure 2.98 6.779 2000 24000 0.01 Excellence In All We Do… E3.2 Use approximation through rounding to estimate answers Excellence In All We Do… 3.2a Use approximation through rounding to estimate answers 1) Estimate the answer to 456 × 12 5000 2) Estimate the answer to 29 × 240 6000 3) Estimate the answer to 1.9 ÷ 0.498 4 4) Estimate the answer to 21.4 × 4.92 3.8 25 5) A football team are taking supporters to the final. They hire 126 coaches and each coach seats 53 people. The cost per person is £28. All seats are full. Estimate how much it will cost to take all £150000 these supporters to the final. Excellence In All We Do… E3.3 Multiply any two positive integers together Excellence In All We Do… 3.3a Multiply any two positive integers together 1) Calculate 79 × 497 39263 2) Calculate 873 x 2498 2180754 3) A machine makes 298 chocolate bars per hour. How many chocolate bars will be made in 9 hours? 2682 4) The machine works for 9 hours everyday except 16092 Sundays. How many chocolate bars will be made in a week? 5) How many chocolate bars will be made in 26 weeks? 418392 Excellence In All We Do… E3.4 Multiply any decimal by a one or two digit number Excellence In All We Do… 3.4a Multiply any decimal by a one or two digit number 1) Calculate 6.24 × 19 118.56 2) Calculate 0.0346 × 7 0.2422 3) Tiles cost £1.98 each. Rob buys 89 tiles. How much does Rob pay? £176.22 4) Leila can type 79 words per minute. How many words can she type in 2.5 minutes? 5) 197.5 Mars bars cost £0.68 each. Mrs North buys 18 mars bars for her 18 grandchildren. She pays with a £20 20 – 12.24 = £7.76 note. How much change does she receive? Excellence In All We Do… E3.5 Multiply any two numbers including decimals Excellence In All We Do… 3.5a Multiply any two numbers including decimals 1) Calculate 7.9 × 64 505.6 2) Calculate 67.8 × 4.7 318.66 3) Calculate 9.3 × 24.34 226.362 4) Calculate 56.47 × 8.59 485.0773 5) A machine makes 1.5 cars per hour. How many cars will be made in 7.25 hours? 10.875 Excellence In All We Do… E3.6 Understand and use standard mathematical formulae Excellence In All We Do… 3.6a 1) Understand and use standard mathematical formulae A taxi firm charges 25 pence per mile and a standard charge of £2. Write down a formula for the total cost, T, if the taxi travels m miles. 𝑇 = 2 + 0.25𝑚 2) A rectangle has a width of w and a length of 2w. Write down a P = 6w formula for the perimeter, P, in terms of w. 3) A equilateral triangle has sides of length 3u. Write down a formula for the perimeter, P, in terms of u. 4) A small box of sweets contains 12 sweets. A large box of sweets contains 26 sweets. Write down an expression for the N = 12p + 26q number, N, of sweets if I buy p small boxes and q large ones. 5) 1 A triangle has a base of length b and height of length h. Write A = 𝑏ℎ 2 down the formulae for the area, A in terms of b and h. P = 9u Excellence In All We Do… E3.7 Find pairs of numbers which satisfy an equation with two unknowns Excellence In All We Do… 3.7a 1) 2) 3) 4) 5) Find pairs of numbers which satisfy an equation with two unknowns List all the possible integer values of a and b in the following equation; a + b = 10 a, b 0,10 1,9 2,8 3,7 4,6 5,5 6,4 7,3 8,2 9,1 10,0 List all the possible integer values of c and d in the following equation; cd = 12 c,d 1,12 2,6 3,4 6,2, 12,1 List all the possible positive integer values of e and f in the following equation; 2e + f = 8 e,f 0,8 1,6 2,4 3,2 4,0 How many pairs of values can you find that satisfy the following equation; 10p - q = 10 Infinite List all the possible integer values of g and h in the g,h 1,10 2,5 5,2 10,1 following equation; 3gh = 30 Excellence In All We Do… E3.8 Use the standard conventions for labelling the sides and angles of shapes Excellence In All We Do… 3.8a 1) R Use the standard conventions for labelling the sides and angles of shapes 3 Excellence In All We Do… E3.9 Derive and apply formulae to calculate and solve problems involving the area of triangles, squares, rectangles and parallelograms Excellence In All We Do… 3.9a 1) Derive and apply formulae to calculate and solve problems involving the area of triangles, squares, rectangles and parallelograms Calculate the area of a square of length 5cm. States the units of your answer. 25cm2 2) Calculate the area of a triangle with a base of 4m and height of 5m. States the units of your answer. 10m2 3) Calculate the perimeter of a rectangle with a length of 6mm and a width of 3mm. States the units of your answer. 18mm 4) Calculate the perimeter of a rectangle with a length of 6.7m and a width of 4.5m. States the units of your answer. 22.4m 5) The area of this rectangle is 30cm2. Calculate the length l. State the units l 5 cm 4cm of your answer. Excellence In All We Do… E3.10 Derive and use the sum of angles in a triangle and quadrilateral Excellence In All We Do… 3.10a 1) o Derive and use the sum of angles in a triangle and quadrilateral 2. Excellence In All We Do… E3.11 Apply the properties of angles at a point on a straight line, vertically opposite angles Excellence In All We Do… 3.11a 1) R Apply the properties of angles at a point on a straight line, vertically opposite angles 2. Excellence In All We Do… E3.12 Change freely between related standard units Excellence In All We Do… 3.12a 1) R Change freely between related standard units 2. Excellence In All We Do… E3.13 Use unit pricing to solve problems Excellence In All We Do… 3.13a 1) R Use unit pricing to solve problems 2. Excellence In All We Do…