Download place value - Primary Maths

PLACE VALUE
PROBLEM ANSWERS AND VARIATIONS.

(4 and 1, 3 and 2) (Change the number of blocks in the tower, and allow children to solve again!)

(4 and 1, 3 and 2) (Change the number of carriages on the train, and allow children to solve again!)
Place Value 2
Video (i)

(5, 1,
Place Value 2
Video (ii)

(6) (Change the number of counters, and allow children to solve again!)

(6, 4) (Change the number of counters, and allow children to solve again!)

(1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5) (Change apples and trees to birds and trees / toys and boxes etc, and allow
children to solve again!)

(5) (Change the number of cars, and allow children to solve again!)

(14 and 1, 13 and 2, 12 and 3, 11 and 4, 10 and 5, 9 and 6, 8 and 7) (Change the number of blocks in the tower, and allow
children to solve again!)

(11 and 1, 10 and 2, 9 and 3, 8 and 4, 7 and 5, 6 and 6) (Change the number of carriages, and allow children to solve again!)

(15 and 1, 14 and 2, 13 and 3, 12 and 4, 11 and 5, 10 and 6, 9 and 7, 8 and 8) (Change the number of birds, and allow children to
solve again!)
Place Value 1
Place Value 3
6)
(Change the number of counters, and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
1
Place Value 4
Place Value 5
Place Value 6
Video (i)

(4) (Change the number of counters in the 10 frame on the right, and allow children to solve again!)

(10, 4, 14) (Change the number of counters in the 10 frame on the right, and allow children to solve again!)

(4) (Change the number of birds, and allow children to solve again!)

(4) (Change the number of cupcakes, and allow children to solve again!)

(6) (Change the number of counters, and allow children to solve again!)

(6) (Change the number of counters, and allow children to solve again!)

(3) (Change the number of children, and allow children to solve again!)

(5) (Change the number of cars, and allow children to solve again!)

(2) (Change the number of children, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(10 and 0, 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5) (Change apple trees to bags of marbles, packets of berries etc,
and allow children to solve again!)

(10 and 0, 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5) (Change basketball to soccer, football, baseball etc, and allow
children to solve again!)
Place Value 6
Video (ii)

(7) (Change the number of chairs, and allow children to solve again!)

(7) (Change the number of shells, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(7) (Change the number of children, and allow children to solve again!)

(3) (Change the number of skittles, and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
2
Place Value 7
Video (ii)

(yes, 10 ones = 1 ten) (Change lollies to apples / shells etc, and allow children to solve again!)
Place Value 7
Video (ii)

(16)

(8)
(Change the teen number of fingers, and allow children to solve again!)
Place Value 7
Video (iii)

(10)
(Change the numbers of marbles, and allow children to solve again!)
Place Value 7
Video (iv)

(1)
Place Value 7
Video (v)

(14)
(Change the number of extra shells, and allow children to solve again!)
Place Value 7
Video (vi)

(14)
(Change the number of extra lollies, and allow children to solve again!)
Place Value 8
Video (i)

(1 and 4, 2 and 3) (Change the number of toy cars, and allow children to solve again!)

(1 and 7, 2 and 6, 3 and 5, 4 and 4) (Change the number of cakes, and allow children to solve again!)
Place Value 8
Video (ii)

(1 and 13, 2 and 12, 3 and 11, 4 and 10, 5 and 9, 6 and 8, 7 and 7) (Change the number of cakes, and allow children to solve
again!)
Place Value 9
Video (i)

(5) (Change the number of cars, and allow children to solve again!)

(6) (Change the number of children, and allow children to solve again!)

(3) (Change the number of cars, and allow children to solve again!)

(1 and 19, 2 and 18, 3 and 17, 4 and 16, 5 and 15, 6 and 14, 7 and 13, 8 and 12, 9 and 11, 10 and 10) (Change apple trees to bags of
marbles, packets of berries etc, and allow children to solve again!)

(1 and 19, 2 and 18, 3 and 17, 4 and 16, 5 and 15, 6 and 14, 7 and 13, 8 and 12, 9 and 11, 10 and 10) (Change basketball to soccer,
football, baseball etc, and allow children to solve again!)
(Change the number of fingers Rose is showing, and allow children to solve again!)
(Change the number, and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
3

(3) (Change the number of chairs, and allow children to solve again!)

(7) (Change the number of shells, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(17) (Change the number of children, and allow children to solve again!)

(5) (Change the number of cars and allow children to solve again!)

(6) (Change the number of children, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(7) (Change the number of shells, and allow children to solve again!)

(3) (Change the number of chairs, and allow children to solve again!)

(37) (Change the number of children, and allow children to solve again!)
Place Value 11
Video (i)

(14) (Change the number of fingers the second child is showing and allow children to solve again!)
Place Value 11
Video (ii)

(34 – 3 tens and 4 ones) (Change the number of blocks and allow children to solve again!)

(24 – 2 tens and 4 ones) (Change the number of lollies and allow children to solve again!)
Place Value 11
Video (iii)
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(24 – 2 tens and 4 ones) (Change the number of shells and allow children to solve again!)

(2 full 10 frames and 7 in the other 10 frame) (Change the number and allow children to solve again!)
Place Value 11
Video (iv)
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(14) (Change the number and allow children to solve again!)

(1 ten and 6 ones,
Place Value 9
Video (ii)
Place Value 10
Video (i)
Place Value 10
Video (ii)
16 ones) (Change the number and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
4

(1 ten and 14 ones) (Change the number and allow children to solve again!)

(2 tens and 6 ones, 1 ten and 16 ones, 26 ones) (Change the number and allow children to solve again!)

(yes, 24 = 2 tens and 2 ones, 24 = 1 ten and 14 ones, 24 = 24 ones) (Change the number and allow children to solve
again!)

(10 girls and 17 boys, 20 girls and 7 boys) (Change the number and allow children to solve again!)

(80 boys and 7 girls, 70 boys and 17 girls, 60 boys and 27 girls, 50 boys and 37 girls, 40 boys and 47 girls, 30 boys and 57 girls, 20
boys and 67 girls, 10 boys and 77 girls) (Change the number and allow children to solve again!)

(36 = 30 + 6, 36 = 20 + 16, 36 = 10 + 26) (Change the number and allow children to solve again!)
Place Value 11
Video (vii)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)
Place Value 11
Video (viii)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)

(23 and 1, 22 and 2, 21 and 3, 20 and 4, 19 and 5, 18 and 6, 17 and 7, 16 and 8, 15 and 9, 14 and 10, 13 and 11, 12 and 12) (Change
the number and allow children to solve again!)
Place Value 11
Video (ix)

(43) (Change the number line and number and allow children to solve again!)

(a) (Change the number line and number and allow children to solve again!)
Place Value 12
Video (i)

(50) (Change the number line and numbers and allow children to solve again!)
Place Value 11
Video (v)
Place Value 11
Video (vi)
Website: http://www.primarymaths.com.au
Email: [email protected]
5
Place Value 12
Video (ii)

(50) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (iii)
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(100) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (iv)

(50) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (v)

(56) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (vi)

(58) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (vii)

(104) (Change the number line and numbers and allow children to solve again!)
Place Value 12
Video (viii)

(103) (Change the number line and numbers and allow children to solve again!)
Place Value 13

(10 and 70, 20 and 60, 30 and 50, 40 and 40) (Change the number and allow children to solve again!)
Place Value 14

(50) (Change the number and allow children to solve again!)

(70) (Change the number, and allow children to solve again!)
Place Value 15
Video (i)
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(yes, 100 is 1 hundred and 10 tens and 100 ones) (Change lollies to apples / shells etc, and allow children to solve again!)
Place Value 15
Video (ii)

(6) (Change the number, and allow children to solve again!)
Place Value 15
Video (iii)

(16) (Change the number, and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
6
Place Value 15
Video (iv)

(Any partitions, for example, 320 + 4, 310 + 14, 300 + 20 + 4, 323 + 1, 240 + 84. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 200 + 10 + 4, 210 + 4, 180 + 34, 183 + 31, 213 + 1. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 300 + 20 +4, 320 + 4, 310 + 14, 280 + 44, 283 + 41, 323 + 1. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve
again!)

(Any partitions, for example, 300 + 20 + 5, 320 + 5, 310 + 15, 280 + 45, 283 + 42, 324 + 1. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve
again!)

(Any partitions, for example, 300 + 20 +4, 320 + 4, 310 + 14, 280 + 44, 283 + 41, 323 + 1. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve
again!)
Place Value 15
Video (v)

(143) (Change the number line and allow children to solve again!)

(b) (Change the number line and allow children to solve again!)
Place Value 16
Video (i)

(455) (Change the number line and allow children to solve again!)
Place Value 16
Video (ii)

(455) (Change the number line and allow children to solve again!)
Place Value 16
Video (iii)

(700) (Change the number line and allow children to solve again!)
Place Value 16
Video (iv)

(700) (Change the number line and allow children to solve again!)
Place Value 16
Video (v)

(626) (Change the number line and allow children to solve again!)
Place Value 16
Video (vi)

(626) (Change the number line and allow children to solve again!)
Website: http://www.primarymaths.com.au
Email: [email protected]
7
Place Value 17
Video (i)

(yes, 1000 is 1 thousand, 10 hundreds, 100 tens and 1000 ones) (Change pins to marbles, lego, cards etc and allow children to
solve again!)
Place Value 17
Video (ii)

(15 x 100 + 5 x 10 + 98 = 1500 + 50 + 98 = 1648) (Change the numbers and allow children to solve again!)
Place Value 17
Video (iii)

(Any partitions, for example, 1320 + 4, 1310 + 14, 1300 + 20 + 4, 1323 + 1, 1240 + 84. Children find about 5 demonstrating standard,
non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 5320 + 4, 5310 + 14, 5300 + 20 + 4, 5323 + 1, 5240 + 84. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 3420 + 5, 3410 + 15, 3400 + 40 + 5, 3400 + 25, 1425 + 2000. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 1300 + 3000 + 2024. 2108 +2108 + 2108, 6000 + 300 + 24. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)
Place Value 17
Video (iv)

(3143) (Change the number line and allow children to solve again!)

(b) (Change the number line and allow children to solve again!)
Place Value 17
Video (v)

(4126) (Change the number line and allow children to solve again!)

(4926) (Change the number line and allow children to solve again!)

(11 326) (Change the number line and allow children to solve again!)

(9326) (Change the number line and allow children to solve again!)
Place Value 18
Video (i)

(10) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 18
Video (ii)

(10) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 18
Video (iii)

(3000) (Change the number and the value and allow children to solve again!)
Place Value 18
Video (iv)

(30) (Change the number and the value and allow children to solve again!)
Place Value 17
Video (vi)
Website: http://www.primarymaths.com.au
Email: [email protected]
8
Place Value 19
Video (i)

15 x 1000 + 25 x 100 + 36 x 10 + 98 = 15 000 + 2500 + 360 + 98 = 17 958) (Change the numbers and allow children to
solve again!)
Place Value 19
Video (ii)

(Any partitions, for example, 41 320 + 4, 41 310 + 14, 41 000 + 300 + 20 + 4, 41 323 + 1, 41 240 + 84. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

Any partitions, for example, 35 320 + 4, 35 310 + 14, 35 000 + 300 + 20 + 4, 35 323 + 1, 35 240 + 84. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 43 420 + 5, 43 410 + 15, 43 000 + 400 + 40 + 5, 43 400 + 25, 41 425 + 2000. Children find about 5
demonstrating standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(Any partitions, for example, 8300 + 8000 + 10 024. 8108 +9108 + 9108, 20 000 + 6300 + 24. Children find about 5 demonstrating
standard, non-standard and non-place value partitions.) (Change the number, and allow children to solve again!)

(around 44 800) (Change the number line and allow children to solve again!)

(a) (Change the number line and allow children to solve again!)

(24 126) (Change the fractions and allow children to solve again!)

(24 126) (Change the fractions, numerators and denominators and allow children to solve again!)

(59 846) (Change the number and allow children to solve again!)

(59 846) (Change the number and allow children to solve again!)
Place Value 20
Video (i)

(10) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 20
Video (ii)

(yes, we are multiplying and dividing by 10) (Change the dot sample and allow children to solve again!)
Place Value 20
Video (iii)

(yes, 0.7 and .7 are both 7 tenths) (Change the digit and allow children to solve again!)
Place Value 20
Video (iv)

(yes, 5 tenths and 500 tenths are both 50.0) (Change the digit and allow children to solve again!)
Place Value 19
Video (iii)
Place Value 19
Video (iv)
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Email: [email protected]
9

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(c) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(c) (Change the number and allow children to solve again!)
Place Value 20
Video (vii)

(ones, 8) (Change the number and allow children to solve again!)

(tenths, 8 tenths or 10 ) (Change the number and allow children to solve again!)
Place Value 21
Video (i)

(10) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 21
Video (ii)

(yes, 5 and 5.00 are both 5 hundredths) (Change the digit and allow children to solve again!)
Place Value 21
Video (Iii)

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(c) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(c) (Change the number and allow children to solve again!)
Place Value 20
Video (v)
Place Value 20
Video (vi)
8
Website: http://www.primarymaths.com.au
Email: [email protected]
10

(5c or 10c or 20c) (Change the decimal fraction and allow children to solve again!)

(5c) (Change the fraction and allow children to solve again!)

(5c or 10c or 20c(Change the decimal fraction and allow children to solve again!)

($6.25, 25 cents is 0.25 or
again!)
25
100
or of a dollar and 6 dollars is 6 one dollars) (Change the fraction and allow children to solve

($6.25, 25 cents is 0.25 or
again!)
25
100
or 4 of a dollar and 6 dollars is 6 one dollars) (Change the fraction and allow children to solve
Place Value 23
Video (i)

(4.5) (Change the whole number and the decimal fractions and allow children to solve again!)
Place Value 23
Video (ii)

(4.65) (Change the whole number and the decimal fractions and allow children to solve again!)
Place Value 24
Video (i)

(100) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 24
Video (ii)

(1000) (Change the missing number in the multiplicative place value chart and allow children to solve again!)
Place Value 25
Video (i)

(a = x 1000 b = x 10 c = ÷ 100) (Change the missing numbers and operations in the multiplicative place value chart and
allow children to solve again!)
Place Value 25
Video (ii)

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(d) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(b) (Change the number and allow children to solve again!)

(d) (Change the number and allow children to solve again!)
Place Value 22
1
4
1
Website: http://www.primarymaths.com.au
Email: [email protected]
11
Place Value 26
Video (i)

(A) (Change the fraction and allow children to solve again!)

(C) (Change the decimal and allow children to solve again!)
Place Value 26
Video (ii)

(A) (Change the fraction and allow children to solve again!)

(C) (Change the decimal and allow children to solve again!)
Place Value 26
Video (iii)

(A) (Change the fraction and allow children to solve again!)

(C) (Change the decimal and allow children to solve again!)
Place Value 27
Video (i)

(a) (Change the increasing fraction pattern and allow children to solve again!)
Place Value 27
Video (ii)

(c) (Change the decreasing fraction pattern and allow children to solve again!)
Place Value 27
Video (iii)

(b) (Change the increasing decimal pattern and allow children to solve again!)
Place Value 27

(0.75cm, 11.25cm) (Change the decreasing decimal pattern and allow children to solve again!)
Place Value 28

(1 trillion. Because ones, tens and hundreds of trillions come after ones, tens and hundreds of billions, 1 millionth. Because
ones, tens and hundreds of millionths come after ones, tens and hundreds of thousandths) (Change the end values in the
place value chart and allow children to solve again!)
Place Value 29

(4.8) (Change the number sentence and allow children to solve again!)
Video (i)

(2 x 7.2, 3 x 4.8, 4 x 3.6, etc Children find as many as they can!) (Change the product and allow children to solve again!)

(2.3 x 9 = 20.7, 3.2 x 9 = 3.2 x 9 = 28.8, 0.23 x 9 = 2.07, 0.32 x 9 = 2.88) (Change the number multiplied by and allow
children to solve again!)

(0.9, 0.91, 0.92, 0.93 … 0.02, 0.01, etc Children find 2 or 3) (Change the numbers and allow children to solve again!)

(12 x 1.3 = 15.6, 89 x 1.1 = 97.9, etc Children find 2 or 3) (Make no changes and allow children to solve again!)
Video (iv)
Website: http://www.primarymaths.com.au
Email: [email protected]
12
Place Value 29
Video (ii)
Place Value 30

(3) (Change the decimal numbers and allow children to solve again!)

(2) (Change the numbers and allow children to solve again!)

(12.4 ÷ 2, 18.6 ÷ 3, 24.8 ÷ 4, 31 ÷ 5, etc Children find 2 or 3) (Make no changes and allow children to solve again!)

(6.3) (Change the decimal numbers and allow children to solve again!)
1

(10) (Change the outcome and allow children to solve again!)

(10%) (Change the outcome and allow children to solve again!)

(0.1) (Change the outcome and allow children to solve again!)

(4) (Change the outcome and allow children to solve again!)

(25%) (Change the outcome and allow children to solve again!)

(0.25) (Change the outcome and allow children to solve again!)
1

(7) (Change ‘greatest chance’ to ‘least chance’ and allow children to solve again!)

(No) (Change the question to ‘which shape has greatest/least chance of being spun and allow children to solve again!)

(
=
x 2 + 1) (Change the pattern and allow children to solve again!)

(
=
÷ 2 + 5) (Change the pattern and allow children to solve again!)
Place Value 31
Video (ii)

(3cm every 20 minutes = 80 minutes. Check using the rule as follows: 0 minutes = term 1, 5 minutes = term 2 etc. Rule (height) = start
at 15.75 and subtract 0.75 each time = Subtract term x 0.75 from 15.75. 3cm is 17 term because 12cm is 5th term, 9cm is 9th term, 6cm
is 13th term. So rule (height) = Subtract term x 0.75 from 15.75 = 15.75 - (17 x 0.75 ) = 15.75 - 12.75 = 3) (Change the pattern
and allow children to solve again!)
Place Value 31
Video (iii)

(3cm every 20 minutes = 80 minutes. Check using the rule as follows: 0 minutes = term 1, 5 minutes = term 2 etc. Rule (height) = start
at 15.75 and subtract 0.75 each time = Subtract term x 0.75 from 15.75. 3cm is 17 term because 12cm is 5th term, 9cm is 9th term, 6cm
is 13th term. So rule (height) = Subtract term x 0.75 from 15.75 = 15.75 - (17 x 0.75 ) = 15.75 - 12.75 = 3) (Change the pattern
and allow children to solve again!)
Place Value 31
Video (i)
Website: http://www.primarymaths.com.au
Email: [email protected]
13
Place Value 31
Video (iv)
Place Value 32

(rule: number of pentagons x 5 = 10 x 5 = 50) (Change the pattern and allow children to solve again!)

(rule: number of pentagons x 4, then add 1 = 10 x 4 then add 1 = 51) (Change the pattern and allow children to solve again!)
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(4.6) (Change the numbers and allow children to solve again!)
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(subtracted 1.38) (Change the numbers and allow children to solve again!)
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(added 16.69) (Change the numbers and allow children to solve again!)

(6.33) (Change the numbers and allow children to solve again!)
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