G4Math Unit 1

Book 4A Unit 1 — Answers

✏️ Year 4 White Rose Maths ✏️

Book 4A — Unit 1: Place Value (4‑digit numbers 1)
Complete Answers & Working Notes

Q1 Write each number — count the blocks!

Part	Hundreds	Tens	Ones	Number
a)	1	2	1	121
b)	2	0	3	203
c)	1	5	5	155
d)	2	4	3	243

Count hundred squares ×100, ten rods ×10, ones cubes ×1, then add.

Q2 Draw or make each number:

a) 135
= 100 + 30 + 5

b) 315
= 300 + 10 + 5

c) 351
= 300 + 50 + 1

Q3 Circle the correct value of each underlined digit:

a) 325 → 2 tens (worth 20)
b) 205 → 2 hundreds (worth 200)
c) 202 → 2 ones (worth 2)

Q4 Partition the numbers:

a) 892 = 8 hundreds, 9 tens, 2 ones
b) 705 = 7 hundreds, 0 tens, 5 ones

Q5 Part‑whole models:

400 + 60 + 2 → whole = 462
555 = 500 + 50 + 5

Q6 Complete the additions:

a) 400+50+2	b) 3+70+900	c) 300+20	d) 800+7	e) 3+600
452	973	320	807	603

f) 90+700	g) 864=800+__+4	h) 936=6+30+__	i) 573=500+3+__	j) 771=70+1+__
790	60	900	70	700

⚡ Challenge Q7 — Making 212 with 5 counters ⚡
H+T+O = 5 counters, H≥1. All 15 possible numbers:

H	T	O	Number	H	T	O	Number	H	T	O	Number
1	0	4	104	2	1	2	212	4	0	1	401
1	1	3	113	2	2	1	221	4	1	0	410
1	2	2	122	2	3	0	230	5	0	0	500
1	3	1	131	3	0	2	302
1	4	0	140	3	1	1	311
2	0	3	203	3	2	0	320

b) Yes — work systematically: for each hundreds digit (1–5), list every split of the remaining counters between T and O. This proves all 15 are found.
For 6 counters (H+T+O=6): 21 numbers — 600, 510, 501, 420, 411, 402, 330, 321, 312, 303, 240, 231, 222, 213, 204, 150, 141, 132, 123, 114, 105.

🌟 Reflect — 3‑digit numbers with 6 ones & 2 hundreds → pattern 2 _ 6:
206, 216, 226, 236, 246, 256, 266, 276, 286, 296 (10 numbers)

Q1 Write the missing numbers

a) 0 → 1,000 (step = 100)
0 — 100 — 200 — 300 — 400 — 500 — 600 — 700 — 800 — 900 — 1,000

b) 600 → 700 (step = 10)
600 — 610 — 620 — 630 — 640 — 650 — 660 — 670 — 680 — 690 — 700

c) 650 → 660 (step = 1)
650 — 651 — 652 — 653 — 654 — 655 — 656 — 657 — 658 — 659 — 660

Q2 Join each number to the correct place

500 600 520 530 560 580 590

200 300 210 230 240 270 280

Q3 Write the numbers shown

a) Line 0→1,000, ticks every 100 — count ticks from 0 and ×100 to read each arrow.
b) Line 500→600, ticks every 10 — count ticks from 500 and ×10, then add to 500.

Use this exact method on the arrows printed in your own book.

Q4 Estimate how much is in each jug (0–1,000 ml scale, halfway = 500 ml)

Jug	Estimate	How to tell
a)	≈100 ml	level well below the 500 ml line
b)	≈900 ml	level just under the top
c)	≈500 ml	level exactly at the halfway line
d)	≈750 ml	level about 3/4 of the way up

Q5 Estimate the position of 229, 215, 249, 271, 285 on the line 200→300

200 250 300 215 229 249 271 285

⚡ Challenge Q6 — Number line 0→1,000 ⚡

0 1,000 24 475 725 999

🌟 Reflect — The number in the middle of a number line is the average of the two end values (e.g. middle of 0–1,000 = 500).

Q1 Count the cups (each cup = 1,000)

a) 4 cups → 4,000
b) 5 cups → 5,000

Q2 Write these multiples of 1,000 (each cube = 1,000)

a) 2 cubes	b) 10 cubes	c) 8 cubes	d) 6 cubes	e) 9 cubes
2,000	10,000	8,000	6,000	9,000

Q3 Complete the number tracks (step = 1,000)

a) 2,000 — 3,000 — 4,000 — 5,000 — 6,000 — 7,000 — 8,000

b) 10,000 — 9,000 — 8,000 — 7,000 — 6,000 — 5,000 — 4,000

Q4 Find all the multiples of 1,000 in the grid
7,0,0,0 is circled as the example. Scan rows/columns/diagonals for other runs of a digit followed by three zeros — e.g. patterns making 4,000 / 8,000 / 5,000 / 3,000 / 6,000 / 9,000 / 1,000 / 2,000 — circle each one you find, same style as the example. ✏️

Q5 Green pencils

Total = 10 × 1,000 = 10,000
Red = 2,000 Blue = 5,000
Green = 10,000 − 2,000 − 5,000 = 3,000

2,000
red

5,000
blue

3,000
green

⚡ Challenge Q6 — Circle the correct answers ⚡

a) 1 thousand is equal to: 10 hundreds
b) 3 thousands is equal to: 3,000 ones (30 hundreds is also =3,000)
c) 50 hundreds is equal to: 5 thousands
d) 700 tens is equal to: 7 thousands

🌟 Reflect — “Count in 1,000s” game example:
1,000 → 2,000 → 3,000 → 4,000 → 5,000 → 6,000 → 7,000 → 8,000 → 9,000 → 10,000 (add 1,000 each turn)

Q1 Match the pairs

Row	Th	H	T	O	Number
1	1	3	2	5	1,325
2	2	1	3	3	2,133
3	1	3	2	4	1,324
4	2	1	1	3	2,113

Q2 Write each number from the place value chart

	Th	H	T	O	Number
a)	2,2	1,1	1,1,1	1	2,231
b)	2,2	1,1,1	1,1	1,1	2,322
c)	1,1,1,1	1,1,1	1,1,1,1	–	4,340
d)	1,1	1	–	1,1,1,1	2,104

Q3 Draw place value counters

a) 2,223
Th: 1k1k H: 100100 T: 1010 O: 111

b) 2,121
Th: 1k1k H: 100 T: 1010 O: 1

c) 2,021
Th: 1k1k H: (none) T: 1010 O: 1

d) 2,020
Th: 1k1k H: (none) T: 1010 O: (none)

Q4 Use cards 9, 9, 8, 8 once each — all different 4‑digit numbers (6 total):

9,988 9,898 9,889
8,998 8,989 8,899

⚡ Challenge Q5 — Mystery 4-digit number ⚡
▲ × ◆ = 30 and ◆ − ▲ = 1 → two numbers differing by 1 that multiply to 30 → ▲=5, ◆=6
◆ − ♥ = 6 → ♥ = 6 − 6 = 0
◆ − ● − ♥ = ▲ → 6 − ● − 0 = 5 → ● = 1
All different ✓ → Number = ▲◆♥● = 5,601

Q1a Partition into Th, H, T, O

2,324 = 2 Th, 3 H, 2 T, 4 O
6,281 = 6 Th, 2 H, 8 T, 1 O
4,427 = 4 Th, 4 H, 2 T, 7 O
9,988 = 9 Th, 9 H, 8 T, 8 O

Q1b Complete each number

5 Th, 2 H, 3 T, 7 O = 5,237
2 Th, 8 H, 9 T, 4 O = 2,894
9 Th, 1 H, 3 T, 6 O = 9,136
7 Th, 6 H, 5 T, 4 O = 7,654

Q2 Complete each partition as an addition

a) 3,000+500+10+1	b) 5,000+300+90+3	c) 5+30+900+7,000	d) 9,000+7+50+300
3,511	5,393	7,935	9,357

e) 1,574 = 4 + 70 + 500 + 1,000
f) 4,141 = 1 + 40 + 100 + 4,000

Q3 Tick the value of each underlined digit

Number	5	50	500	5,000
2,5̲52			✔
5,23̲5	✔
1,5̲55		✔
5̲,055				✔

Q4 Join matching pairs

2,068 = 2,000 + 60 + 8
2,608 = 2,000 + 600 + 8
2,806 = 2,000 + 800 + 6
2,680 = 2,000 + 600 + 80
6,820 = 6,000 + 800 + 20
6,802 = 6,000 + 800 + 2

Q5 Partition into place value additions

a) 4,400	b) 4,040	c) 4,004	d) 3,030	e) 1,010	f) 6,060
4,000+400	4,000+40	4,000+4	3,000+30	1,000+10	6,000+60

⚡ Challenge Q6 — Andy’s number ⚡
Let Th digit = T digit = x (must be even since H = x÷2). O digit = x+2.

x (Th & T)	H = x÷2	O = x+2	Number
2	1	4	2,124
4	2	6	4,246
6	3	8	6,368
8	4	10 ✗	not possible

Draw counters for any of these, e.g. 2,124 → Th ●●, H ●, T ●●, O ●●●●

🌟 Reflect — Make up your own mystery number puzzle (digit relationships, products, differences) and challenge a partner to solve it!

Q1 Five different ways to partition 2,321:

2,000 + 300 + 20 + 1
2,000 + 300 + 21
2,000 + 321
2,300 + 21
1,000 + 1,300 + 20 + 1

Q2 Complete the additions

a) 8,000+535	b) 5,000+700+24	c) 2,000+1,000+44	d) 1,000+1,000+600+21	e) 5,000+2,300+90+9
8,535	5,724	3,044	2,621	7,399

f) 4,286 = 4,000+200+ 86
g) 9,147 = 9,000+ 147
h) 7,565 = 7,500+ 65
i) 5,535 = 5,000+500+20+ 15
j) 6,177 = 6,000+170+ 7

Q3 Mr Jones’s car: £3,750 − £3,000 = £750 ✔ (circle this one)

Q4 Part-whole model for 4,816 (= 4,000+800+10+6)

4,816 − 10 = 4,806
4,816 − 4,000 = 816
4,816 − 800 = 4,016
4,816 − 6 = 4,810

Q5 Complete the subtractions

a) 6,177−100	b) 4,800+__=4,950	c) 5,834−30	d) 2,440+__=2,451
6,077	150	5,804	11

e) 3,054−__=3,000	f) __+725=1,825	g) 4,275−__=4,005	h) __+6,005=7,505
54	1,100	270	1,500

⚡ Challenge Q6 — Harry & Esma’s partitions ⚡
Harry: 2,000+1,700+50+2 = 3,752
Esma: 3,000+600+152 = 3,752 (missing number = 152)

b) Three more ways to partition 3,752:

3,000 + 700 + 50 + 2
1,000 + 2,700 + 50 + 2
3,700 + 50 + 2

🌟 Reflect — Two ways to partition 3,750:

3,000 + 700 + 50
3,000 + 750

(Many other valid answers exist — compare with classmates!)

Q1 Place value grid

a) 1,000 more than 3,767 is 4,767 (Th digit 3→4, rest unchanged)
b) 100 more than 5,870 is 5,970 (H digit 8→9)
c) 10 less than 2,960 is 2,950 (T digit 6→5)
d) 1,000 less than 11,000 is 10,000

Check totals against your printed grid — same method: change only one digit by ±1.

Q2 Complete the table

Representation	Number	1,000 more	100 less	10 more
4 Th-counters, 4 H-counters, 7 O-counters	4,407	5,407	4,307	4,417
Blocks: 2 Th, 7 H, 5 T, 8 O	2,758	3,758	2,658	2,768
Arrow on number line	≈2,600	3,600	2,500	2,610
“Seven hundred and fifty-eight”	758	1,758	658	768

Q3 Fill in the missing numbers

a) 1,000 more than 4,879 is 5,879
b) 100 less than 4,879 is 4,779
c) 10 more than 4,869 is 4,879
d) 1 more than 4,879 is 4,880
e) 3,921 is 1,000 more than 2,921
f) 100 less than 752 is 652

Q4 Complete each number sentence

a) 1 more than 2,875 is 2,876
b) 5,783 + 1,000 = 6,783
c) 100 less than 3,580 is 3,480
d) 4,000 − 10 = 3,990
e) 5,999 + 1,000 − 10 = 6,989
f) 7,950 + 10 − 100 = 7,860
g) 7,500 is 1,000 less than 8,500

⚡ Challenge Q5 — Function machine ⚡
Output = 6,865. Machine: −1,000, +100, −10. Work backwards: +10, −100, +1,000
Input = 6,865 + 10 − 100 + 1,000 = 7,775

Check: 7,775−1,000=6,775 → +100=6,875 → −10=6,865 ✔

🌟 Reflect — When finding 1,000 more/less than a 4-digit number, normally only the thousands digit changes — 1 digit (e.g. 3,767 → 4,767).

Q1 Write each number (count hundred-squares ×100)

a) 14 squares	b) 16 squares	c) 5+5+4	d) 5+5+5+6	e) 5+5+5+5+1
1,400	1,600	1,400	2,100	2,100

If your printed counts differ slightly, just count the 100-counters shown and ×100 — that’s the method being tested!

Q2 Complete each sentence

a) 37 hundreds is 3,700
b) 38 hundreds is 3,800
c) 39 hundreds is 3,900
d) 40 hundreds is 4,000

Q3 Total mass of weights: 13 × 100 g = 1,300 g

Q4 Swimming pool lengths (1 length = 10 m)

a) 100m	b) 500m	c) 1,000m	d) 1,100m
10	50	100	110

e) 1,500m	f) 1,600m	g) 2,000m	h) 1,750m
150	160	200	175

⚡ Challenge Q5 — Adam’s number ⚡
Sort the scattered counters into groups: 100s, 10s, 1s — count each, multiply, add.

13 × 100 = 1,300
13 × 10 = 130
8 × 1 = 8
Total = 1,300 + 130 + 8 = 1,438

Re-count the counters in your own book the same way if your totals differ slightly.

🌟 Reflect — Why is 20 hundreds = 2,000?
Because 10 hundreds = 1 thousand (10×100=1,000). So 20 hundreds = 2 × 1,000 = 2,000. (Or simply 20×100=2,000.)

My journal — Blocks shown: 2 Th, 2 H, 4 T, 5 O → 2,245

Th: 1k1k H: 100100 T: 10101010 O: 11111

Example description using the keywords:

It has 2 thousands (1,000s), 2 hundreds (100s), 4 tens (10s) and 5 ones (1s).
In numerals: 2,245
On a number line 0→3,000 it sits just under three-quarters of the way along.
It is odd (ones digit = 5)
1,000 more = 3,245. 100 less = 2,145.
Other partitions: 2,000+200+40+5

Power check — Colour the face that matches how you feel about Unit 1: 😕 🙂 😄 (self-assessment — no fixed answer!)

Place 6 counters on the Th/H/T/O grid with at least 1 in each column. Example numbers you could make:

Th	H	T	O	Number
1	1	1	3	1,113
1	1	2	2	1,122
1	1	3	1	1,131
1	2	1	2	1,212
1	2	2	1	1,221
1	3	1	1	1,311
2	1	1	2	2,112
2	1	2	1	2,121
2	2	1	1	2,211
3	1	1	1	3,111

🌟 “I wonder…” — With 7 counters, you have 3 extra to share (still ≥1 per column), giving even more (and bigger!) 4-digit numbers, e.g. 4,111. The more counters above the minimum of 4, the more numbers you can make!

⭐ Great work completing Unit 1! ⭐

Mountcrest Academy

G4Math Unit 1

✏️ Year 4 White Rose Maths ✏️

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H	T	O	Number	H	T	O	Number	H	T	O	Number
1	0	4	104	2	1	2	212	4	0	1	401
1	1	3	113	2	2	1	221	4	1	0	410
1	2	2	122	2	3	0	230	5	0	0	500
1	3	1	131	3	0	2	302
1	4	0	140	3	1	1	311
2	0	3	203	3	2	0	320

H	T	O	Number	H	T	O	Number	H	T	O	Number
1	0	4	104	2	1	2	212	4	0	1	401
1	1	3	113	2	2	1	221	4	1	0	410
1	2	2	122	2	3	0	230	5	0	0	500
1	3	1	131	3	0	2	302
1	4	0	140	3	1	1	311
2	0	3	203	3	2	0	320

H	T	O	Number	H	T	O	Number	H	T	O	Number
1	0	4	104	2	1	2	212	4	0	1	401
1	1	3	113	2	2	1	221	4	1	0	410
1	2	2	122	2	3	0	230	5	0	0	500
1	3	1	131	3	0	2	302
1	4	0	140	3	1	1	311
2	0	3	203	3	2	0	320