Page 48 - steps 3b.pdf

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• Last-digit patterns • • • • • • • Digital sums •••••••
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PAGE 86 IT] Write the sequence Two-times table One-times table IJJ Ben made a number and colour pattern.
of last digits in the He added the digits in the answers in the three-times table.
1 x 2 = 2 1 xi =
colours shown for: 1 x3= 3 3
2x2= 4 2 x 1 = 2
a the two-times table 3x2= 6 3 x 1 = 3 2x3 = 6 • = 6
4x2= 8 4 x 1 = 4 3x3= 9 • = (;
b the one-times table. 4x3 = 12 - 1 + 2 - 3
5x2= 1 5 x 1 = 5
6x2 = 12 6 xi = 6 5x3=15 - 1 +5 - 6
7x2= 14 7 x 1 = 7 6x3=18 - 1 +8 - 9
8x2= 16 8 x 1 = 8 7x3=21 - 2+1 - 3
9x2= 18 9 x 1 = 8x3=24 - 2 + 4 - 6
10 x 2 = 2 10 xi = 9x3=27 - 2+7 - 9
10x3=30 - 3+0 - = 3
a Write the three-times, four-times
a Write the two-times table.
and five-times tables.
b Calculate and colour the digital sums as Ben did.
b Colour the last digits using this code.
Use the colour code on page 86 (opposite).
yellow I pink 2 red 3 light blue 4 dark green
5 purple 6 brown 7 black 8 dark blue Q light green ~' ' i(\ .
- ~ []J Which times-tables match these chains
%.' of colours of digital sums?
Woek out t;me,·toble, to match the,e cha;" of colou,. ...., • +v ...
a .... ~ -.-• • • -, ... / . ~ a ••• •
bll-."-.-l". b . ..... -• • ..&-&-a.
rn Which other times-tables match these chains? CHALLENGE
Which other times-table has digital sums which match this chain?
a 2,4,6,8,0,2, ... b - _ . - . ,_A .'-:At. .:At. ... •
b 1,2,3,4,5,6,7,8, om IS~EPS 3b:37 I I STEPS 3b:37 ! m
q,O, 1, ...

00 00 rn

a lx3=3 lx4=4 lx5=5 a 4 or 14 times-table a 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
2x3=6 2x4=8 2x5= 10 b 2 or 12 times-table b 2,4,6,8, 1,3,5,7, q, 2, 4, 6, ...
3x3=q 3x4= 12 3x5= 15
4x3= 12 4x4= 16 4 x 5 = 20
Challenge
5 x 3 = 15 5 x 4 = 20 5 x 5 = 25 00
6x3= 18 6 x 4 = 24 6 x 5 = 30 a 10 times-table a 4 times-table
7 x 3 = 21 7 x 4 = 28 7 x 5 = 35
b 8 times-table (1/3 d)
8 x 3 = 24 8 x 4 = 32 8 x 5 = 40 b 5 times-table
q x 3 = 27 q x 4 = 36 q x 5 = 45
10 x 3 = 30 10 x 4 = 40 10 x 5 = 50 Challenge

b Colour last digits using code. 6 times-table (1/3 d)