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Focus on Mathematics Year 5 Pre-Learning Tasks Number •Pre-learning tasks are used at the start of each new topic in Maths. •The children are grouped after the pre-learning task is marked to ensure the work is pitched correctly. •St Leonard’s use the pre-learning tasks devised by Focus Education for Number but class teachers create their own tasks for all other areas of Mathematics. Focus on Mathematics: Year 5 Name Objective 1 Date Number Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit Can you write these numbers in numerals? Two thousand, four hundred and fourteen *1 Can you write these numbers in words? 12,461 Thirteen thousand, three hundred and sixty-four 123,879 Two hundred and four thousand, one hundred and sixteen 15,247 Four hundred thousand, three hundred and eightythree 998,392 Sixty thousand, four hundred and five 719,709 © Focus Education (UK) Ltd 2014 *2 2 Focus on Mathematics: Year 5 Name Objective 2 Date Number Count forwards and backwards in steps of powers of 10 (100, 1000, 10,000) for any given number up to 1,000,000 Can you count on or back as required? 100 more than 237 100 more than 327 *1 100 less than 347 100 less than 672 1000 more than 257 1000 more than 4298 100,000 more than 135,478 100,000 more than 656,625 *2 1000 less than 3478 1000 less than 6625 10,000 more than 13478 10,000 more than 65625 10,000 less than 13978 10,000 less than 63628 100,000 less than 435,878 100,000 less than 856,925 1,000,000 more than 135,478 1,000,000 more than 1,656,625 *3 *4 *5 1,000,000 less than 4,935,878 1,000,000 less than 1,856,925 Starting Position: © Focus Education (UK) Ltd 2014 3 Name Objective 3 Focus on Mathematics: Year 5 Date Number Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero Can you respond to these problems? If Room A is 5⁰C and Room B is 7⁰C, which is warmer? *1 What comes next? -3, -4, -5, -6, … If Room A is -5⁰C and Room B is -7⁰C, which is warmer? 2, 1, 0, -1, … If Room A is 10⁰C and Room B is -7⁰C, which is colder? -4, -3, -2, -1, 0, …. If Room A is -6⁰C; Room B is 7⁰C and Room c is -3⁰C, which is warmer? -7, -6, -5, -4, -3, -2, -1, …. If Room A is -8⁰C; Room B is -9⁰C and Room c is -10⁰C, which is warmer? 3, 2, 1, 0, -1, -2, -3, … © Focus Education (UK) Ltd 2014 *2 4 Focus on Mathematics: Year 5 Name Objective 4 Date Number Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 Can you round these numbers to the nearest 10, 100, 1000, 10,000 or 100,000? 1167 to the nearest 10 *1 77,771 to the nearest 1000 272 to the nearest 10 159,987 to the nearest 10,000 1145 to the nearest 100 918,756 to the nearest 10,000 5607 to the nearest 100 391,385 to the nearest 100,000 2134 to the nearest 1000 357,867 to the nearest 100,000 © Focus Education (UK) Ltd 2014 *2 5 Focus on Mathematics: Year 5 Name Date Objective 5 Number Estimate the answers to calculations involving addition, subtraction, multiplication and division Can you first estimate and then work out these calculations? Estimate estimate to nearest 10 18 + 35 Calculate Estimate *1 estimate to nearest 10 108 + 350 *2 estimate to nearest 10 472 - 158 estimate to nearest 100 123 x 13 estimate to nearest 100 672 - 158 108 + 650 *4 25 x 14 estimate to nearest 100 estimate to nearest 10 12 x 13 estimate to nearest 10 67 - 15 estimate to nearest 100 estimate to nearest 10 Calculate 250 x 14 *3 estimate to nearest 10 186 ÷ 8 estimate to nearest 10 122 ÷ 6 © Focus Education (UK) Ltd 2014 6 Focus on Mathematics: Year 5 Name Date Objective 7 Number Read Roman numerals to 1000 (M) and recognise years written in Roman numerals Can you write these numbers as Roman numerals? 5 *1 213 50 *2 199 100 *3 175 406 *4 925 604 288 © Focus Education (UK) Ltd 2014 7 Focus on Mathematics: Year 5 Name Date Objective 8 Number Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) Can you calculate these accurately? 13232 12334+ 11325 14123+ 10462 20257+ 11727 41231+ 12437 14659+ 16448 12255+ 27223 16465+ 11795 12836+ 34571 24259+ 23456 34862+ 12973 35686+ 32971 32519+ 56732 13545 14376+ 75682 23876 43975+ 89943 19243 45778+ 95832 73271 56659+ *1 32876 10323- 34599 12416- 15689 21643- 47787 15535- *3 *2 34450 11326- 78592 35869- 38419 27260- 42879 34588- *4 53653 24676- 62181 37336- 73581 56775- 84932 46737- © Focus Education (UK) Ltd 2014 8 Focus on Mathematics: Year 5 Name Objective 9 Date Number Add and subtract numbers mentally with increasingly large numbers Can you complete these very quickly? (2 minutes maximum) 23 + 37 *1 16 + 54 106 - 67 Can you complete these very quickly? (2 minutes maximum) 456 + 345 *3 235 + 765 *2 235 - 156 230 - 34 347 - 289 78 - 34 23,789 + 2,000 348 - 78 16, 987 + 6,000 345 - 67 56,732 - 8,000 1234 - 78 89,765 - 5,000 2346 - 98 72,367- 6,000 © Focus Education (UK) Ltd 2014 *4 9 Focus on Mathematics: Year 5 Name Date Objective 15 Number Multiply numbers up to 4-digits by a 1 or 2-digit number using a formal written method, including long multiplication for 2-digit numbers Can you multiply these accurately? 230 3x 405 5x 670 4x 302 8x 317 9x 448 5x 752 6x 785 8x 5231 9x 5645 7x 7223 6x 9541 5x 6723 6x 5662 7x 9413 8x 5532 9x *1 *2 902 x12 506 x26 607 x24 809 x32 126 x25 873 x45 847 x26 568 x34 3244 x34 7209 x24 8655 x45 6587 x34 © Focus Education (UK) Ltd 2014 *3 *4 10 Focus on Mathematics: Year 5 Name Date Objective 17 Number Divide numbers up to 4-digits by a 1-digit number using the formal written method of short division and interpret remainders appropriately for the context Can you divide these accurately? 235 ÷ 5 348 ÷ 6 248 ÷ 4 237 ÷ 3 3372÷ 6 2645÷5 1036÷7 5154÷6 566÷5 349÷6 247÷8 345÷7 873÷5 567÷9 239÷7 987÷4 *1 *2 9150 ÷ 9 5720 ÷ 7 6076 ÷ 3 1452 ÷ 7 8987 ÷ 6 8114 ÷ 7 3247 ÷ 10 7209 ÷ 10 8656 ÷ 10 © Focus Education (UK) Ltd 2014 *3 *4 11 Focus on Mathematics: Year 5 Name Objective 18 Date Number Multiply and divide numbers by 10, 100 and 1000 Can you multiply or divide as needed? 23 X 10 *1 45456 ÷ 100 345 x 10 25435 ÷ 100 94723 x 10 675345 ÷ 100 235 ÷ 10 *2 34987 x 1000 67543 ÷ 10 23789 x 1000 348761 ÷ 10 16,987 x 1000 3476 X100 562,732 ÷ 1000 123,454 x 100 189,765 ÷ 1000 213,496 x 100 72367÷ 1000 © Focus Education (UK) Ltd 2014 *3 *4 12 Focus on Mathematics: Year 5 Name Objective 19 Date Number Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (3) Can you write the square number; the square root of the number or the cube of the number as indicated? 5² *1 10² ²√100 If the square of a number is 64, what is its square root? *3 If the square of a number is 81, what is its square root? *2 3(3) ²√81 4(3) ²√64 5(3) © Focus Education (UK) Ltd 2014 *4 13 Focus on Mathematics: Year 5 Name Date Objective 26 Number Add and subtract 2 fractions with the same denominator Can you put these fractions in order (smallest first)? 2 4 1 4 3 4 1 6 5 6 4 6 3 4 1 2 3 8 1 5 3 10 6 10 1 2 4 5 *1 3 6 7 10 *2 Can you reorganise these fractions so that they have the same denominator? 2 3 5 6 7 8 1 2 1 2 *3 3 4 Can you reorganise these fractions so that they have the same denominator and then order them (smallest first)? 1 2 3 4 5 8 7 8 1 5 1 2 7 10 9 10 © Focus Education (UK) Ltd 2014 *4 3 5 14 Focus on Mathematics: Year 5 Name Date Objective 27 Number Multiply proper fractions and mixed fractions by whole numbers, supported by material and diagrams Can you work out the following calculations? ¾ x 10 *1 2¾ x 10 5/8 x 10 45/8 x 10 2/3 x 10 62/3 x 10 1/6 x 6 *2 71/6 x 6 2/5 x 8 82/5 x 8 ¾x7 7¾ x 7 3/5 x 9 53/5 x 9 1/8 x 9 91/8 x 9 © Focus Education (UK) Ltd 2014 *3 *4 15 Focus on Mathematics: Year 5 Name Date Objective 28 Number Read and write decimal numbers as fractions (e.g. 0.71 = 71/100) Can you write the following decimal numbers as fractions? 0.25 *1 0.15 0.5 2.5 0.1 1.25 0.3 3.75 4.1 *2 *3 6.83 7.3 9.45 6.9 10.75 8.5 3.78 © Focus Education (UK) Ltd 2014 16 Focus on Mathematics: Year 5 Name Date Objective 30 Number Round decimals with 2 decimal places to the nearest whole number and to one decimal place Can you round these decimal numbers to one whole number? 6.25 *1 Can you round these decimal numbers to one decimal place number? 0.15 7.5 2.58 8.1 1.25 9.3 3.75 11.1 6.83 9.3 9.45 6.9 10.75 8.5 3.78 © Focus Education (UK) Ltd 2014 *2 17 Focus on Mathematics: Year 5 Name Date Objective 31 Number Read, write, order and compare numbers with up to 3 decimal places Can you order these decimal numbers (smallest first)? 6.2; 7.3; 2.7 *1 0.153; 0.234; 0.765 7.5; 6.1; 4.6 2.584; 6.786; 2.345 8.1; 7.2; 7.7 1.254; 2.319; 1.255 9.3; 8.2; 6.5 3.753; 4.845; 2.735 11.12; 2.65; 7.12 *2 6.83; 1.2; 6.634 9.13; 6.98; 7.45 3.2; 9.45; 3.342 6.93; 5.23; 8.45 10.5; 10.75; 10.456 8.56; 6.78; 5.54 1.9; 3.78 1.659 © Focus Education (UK) Ltd 2014 *3 *4 18 Focus on Mathematics: Year 5 Name Date Objective 34 Number Write percentages as a fraction with denominator 100, and as a decimal (e.g. ½ = 50% = 0.5) Can you complete the missing values? Percentage (%) Decimal Fraction *1 Percentage (%) Decimal Fraction 50% 3/4 25% 5/6 33% 3/10 0.3 *2 0.6 1/4 2/9 0.75 0.2 © Focus Education (UK) Ltd 2014 19