Download Focus on Mathematics - St. Leonards RC Primary School

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