Key Stage 1 SATs - 2022 - Paper 1

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KS1 2022 Mathematics Paper 1: Arithmetic

Mark Scheme Legend

(M): Method mark – for a correct method
(A): Accuracy mark – for a correct answer
(1m): 1 Mark awarded

Question 1 (Addition)
Question 2 (Subtraction)
Question 3 (Addition)
Question 4 (Subtraction)
Question 5 (Addition)
Question 6 (Multiplication)
Question 7 (Multiplication)
Question 8 (Addition)
Question 9 (Subtraction)
Question 10 (Division)
Question 11 (Column Addition)
Question 12 (Fractions)
Question 13 (Subtraction)
Question 14 (Missing Number)
Question 15 (Division)
Question 16 (Column Addition)
Question 17 (Column Addition)
Question 18 (Fractions)
Question 19 (Missing Number)
Question 20 (Missing Number)
Question 21 (Column Subtraction)
Question 22 (Division)
Question 23 (Subtraction)
Question 24 (Missing Number)
Question 25 (Column Subtraction)

Question 1 (1 mark)

\( 3 + 7 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 3 and 7 together to find the total.

Step 2: Working Out

Why we do this:

These are number bonds to 10. We can count on from the bigger number.

✏ Working:

Start at 7 and count on 3:

7… 8, 9, 10

\( 3 + 7 = 10 \)

Final Answer:

✓ Total: 1 mark

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Question 2 (1 mark)

\( 100 – 1 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 1 from 100, which means finding the number that comes just before 100.

Step 2: Working Out

Why we do this:

Counting back 1 is the simplest way to subtract 1.

✏ Working:

The number before 100 is 99.

\( 100 – 1 = 99 \)

Final Answer:

✓ Total: 1 mark

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Question 3 (1 mark)

\( 33 + 10 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 10 to 33.

Step 2: Working Out

Why we do this:

When adding 10, the “ones” digit stays the same, and the “tens” digit goes up by 1.

✏ Working:

33 has 3 tens.

Add 1 ten: 3 tens + 1 ten = 4 tens.

The ones digit (3) stays the same.

The answer is 43.

Final Answer:

✓ Total: 1 mark

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Question 4 (1 mark)

\( 19 – 3 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 3 from 19.

Step 2: Working Out

Why we do this:

We can focus on the ones digits. 9 – 3.

✏ Working:

19 has 1 ten and 9 ones.

9 ones – 3 ones = 6 ones.

So, 19 – 3 = 16.

Final Answer:

✓ Total: 1 mark

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Question 5 (1 mark)

\( 2 + 67 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 2 and 67.

Step 2: Working Out

Why we do this:

It is easier to start with the bigger number (67) and count on the smaller number (2).

✏ Working:

Start at 67.

Count on 2: 68, 69.

\( 2 + 67 = 69 \)

Final Answer:

✓ Total: 1 mark

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Question 6 (1 mark)

\( 2 \times 7 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to multiply 2 by 7, which is the same as finding two lots of 7 (or double 7).

Step 2: Working Out

Why we do this:

We can count in 2s seven times, or just double 7.

✏ Working:

Counting in 2s: 2, 4, 6, 8, 10, 12, 14.

Double 7 is 14.

Final Answer:

✓ Total: 1 mark

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Question 7 (1 mark)

\( 10 \times 5 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to multiply 10 by 5. This is 10 lots of 5.

Step 2: Working Out

Why we do this:

We can count in 5s ten times, or count in 10s five times.

✏ Working:

Count in 10s five times: 10, 20, 30, 40, 50.

\( 10 \times 5 = 50 \)

Final Answer:

✓ Total: 1 mark

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Question 8 (1 mark)

\( 30 + 50 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 30 and 50.

Step 2: Working Out

Why we do this:

We can use our number facts. We know \(3 + 5\), so we can use that to solve \(30 + 50\).

✏ Working:

\( 3 + 5 = 8 \)

So, 3 tens + 5 tens = 8 tens.

\( 30 + 50 = 80 \)

Final Answer:

✓ Total: 1 mark

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Question 9 (1 mark)

\( 41 – 10 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 10 from 41.

Step 2: Working Out

Why we do this:

When we subtract 10, the tens digit goes down by 1, but the ones digit stays the same.

✏ Working:

41 has 4 tens.

Subtract 1 ten: 4 tens – 1 ten = 3 tens.

The ones digit (1) stays the same.

The answer is 31.

Final Answer:

✓ Total: 1 mark

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Question 10 (1 mark)

\( 15 \div 5 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to divide 15 into groups of 5. How many 5s fit into 15?

Step 2: Working Out

Why we do this:

We can count in 5s until we reach 15 to see how many groups there are.

✏ Working:

5, 10, 15.

That is 3 groups of 5.

\( 15 \div 5 = 3 \)

Final Answer:

✓ Total: 1 mark

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Question 11 (1 mark)

\( 31 + 46 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 31 and 46 together.

Step 2: Working Out

Why we do this:

We can add the ones digits first, then add the tens digits.

✏ Working:

   3 1
 + 4 6
 ─────
   7 7

1 + 6 = 7

3 + 4 = 7

Final Answer:

✓ Total: 1 mark

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Question 12 (1 mark)

\( \frac{1}{2} \text{ of } 80 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find half of 80. This is the same as dividing 80 by 2.

Step 2: Working Out

Why we do this:

We know that half of 8 is 4. We can use this to find half of 80.

✏ Working:

\( \frac{1}{2} \) of 8 = 4

So, \( \frac{1}{2} \) of 80 = 40

Final Answer:

✓ Total: 1 mark

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Question 13 (1 mark)

\( 67 – 40 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 40 from 67.

Step 2: Working Out

Why we do this:

We are subtracting tens. The ones digit will stay the same.

✏ Working:

67 has 6 tens.

40 has 4 tens.

6 tens – 4 tens = 2 tens.

The ones digit (7) stays the same.

The answer is 27.

Final Answer:

✓ Total: 1 mark

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Question 14 (1 mark)

\( 8 + \square + 4 = 17 \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find the missing number that makes the total 17.

Step 2: Working Out

Why we do this:

First, add the numbers we know (8 and 4), then see how much more we need to get to 17.

✏ Working:

\( 8 + 4 = 12 \)

Now, what do we add to 12 to get 17?

\( 12 + \square = 17 \)

Count on from 12 to 17: 13, 14, 15, 16, 17.

That is 5.

So, the missing number is 5.

Final Answer:

✓ Total: 1 mark

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Question 15 (1 mark)

\( 100 \div 10 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to divide 100 by 10. How many 10s are in 100?

Step 2: Working Out

Why we do this:

We can count in 10s until we reach 100.

✏ Working:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

That is 10 groups of 10.

\( 100 \div 10 = 10 \)

Final Answer:

✓ Total: 1 mark

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Question 16 (1 mark)

\( 58 + 32 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 58 and 32.

Step 2: Working Out

Why we do this:

We add the ones first. \(8 + 2 = 10\). This creates a new ten.

✏ Working:

   ¹
   5 8
 + 3 2
 ─────
   9 0

1. Ones: \( 8 + 2 = 10 \). Write 0, carry the 1 ten.

2. Tens: \( 5 + 3 + 1 \text{ (carried)} = 9 \).

Final Answer:

✓ Total: 1 mark

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Question 17 (1 mark)

\( 45 + 16 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to add 45 and 16.

Step 2: Working Out

Why we do this:

We add the ones first. \(5 + 6 = 11\). We write down the 1 and carry the 10.

✏ Working:

   ¹
   4 5
 + 1 6
 ─────
   6 1

1. Ones: \( 5 + 6 = 11 \). Write 1, carry the 1 ten.

2. Tens: \( 4 + 1 + 1 \text{ (carried)} = 6 \).

Final Answer:

✓ Total: 1 mark

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Question 18 (1 mark)

\( \frac{1}{4} \text{ of } 16 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find one quarter of 16. This means dividing 16 into 4 equal parts.

Step 2: Working Out

Why we do this:

We can use our 4 times table. How many 4s go into 16?

✏ Working:

Count in 4s: 4, 8, 12, 16.

That is 4.

Or, find half of 16, which is 8.

Then find half of 8, which is 4.

Final Answer:

✓ Total: 1 mark

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Question 19 (1 mark)

\( 60 + \square = 89 \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find what to add to 60 to get 89.

Step 2: Working Out

Why we do this:

We can look at the tens and the ones separately. How many more tens? How many more ones?

✏ Working:

60 is 6 tens and 0 ones.

89 is 8 tens and 9 ones.

Difference in tens: \( 8 – 6 = 2 \) tens (20).

Difference in ones: \( 9 – 0 = 9 \) ones.

So, we need to add 29.

Final Answer:

✓ Total: 1 mark

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Question 20 (1 mark)

\( \square + 25 = 37 \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find the missing number that adds to 25 to make 37.

Step 2: Working Out

Why we do this:

We can solve this by subtracting 25 from 37.

✏ Working:

   3 7
 - 2 5
 ─────
   1 2

1. Ones: \( 7 – 5 = 2 \)

2. Tens: \( 3 – 2 = 1 \)

The answer is 12.

Final Answer:

✓ Total: 1 mark

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Question 21 (1 mark)

\( 54 – 15 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 15 from 54.

Step 2: Working Out

Why we do this:

We can’t take 5 from 4, so we need to exchange a ten for ten ones.

✏ Working:

   ⁴ ¹
   5 4
 - 1 5
 ─────
   3 9

1. Exchange: Take 1 ten from 50. 5 tens become 4 tens. The 4 ones become 14 ones.

2. Ones: \( 14 – 5 = 9 \).

3. Tens: \( 4 – 1 = 3 \).

Final Answer:

✓ Total: 1 mark

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Question 22 (1 mark)

\( 60 \div 5 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to divide 60 by 5. How many 5s go into 60?

Step 2: Working Out

Why we do this:

We know that \( 10 \times 5 = 50 \). We can count on from there.

✏ Working:

\( 10 \times 5 = 50 \)

\( 11 \times 5 = 55 \)

\( 12 \times 5 = 60 \)

So, \( 60 \div 5 = 12 \)

Final Answer:

✓ Total: 1 mark

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Question 23 (1 mark)

\( 92 – 85 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find the difference between 92 and 85.

Step 2: Working Out

Why we do this:

The numbers are close together, so it is easier to count up from 85 to 92.

✏ Working:

Start at 85.

Count up: 86, 87, 88, 89, 90, 91, 92.

That is 7.

Final Answer:

✓ Total: 1 mark

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Question 24 (1 mark)

\( \square – 50 = 50 \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to find the number that you subtract 50 from to be left with 50.

Step 2: Working Out

Why we do this:

We can work backwards. If we start with 50 and add the 50 we took away, we get the starting number.

✏ Working:

\( 50 + 50 = 100 \)

So, \( 100 – 50 = 50 \)

Final Answer:

100

✓ Total: 1 mark

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Question 25 (1 mark)

\( 66 – 38 = \square \)

Worked Solution

Step 1: Understanding the Question

What are we being asked to find?

We need to subtract 38 from 66.

Step 2: Working Out

Why we do this:

We can’t subtract 8 from 6, so we need to exchange a ten.

✏ Working:

   ⁵ ¹
   6 6
 - 3 8
 ─────
   2 8

1. Exchange: Take 1 ten from 60. 6 tens become 5 tens. The 6 ones become 16 ones.

2. Ones: \( 16 – 8 = 8 \).

3. Tens: \( 5 – 3 = 2 \).

Final Answer:

✓ Total: 1 mark

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KS1 2022 Mathematics Paper 1: Arithmetic

Mark Scheme Legend

Table of Contents

Question 1 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 2 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 3 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 4 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 5 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 6 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 7 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 8 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 9 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 10 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 11 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 12 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 13 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 14 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 15 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 16 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 17 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 18 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 19 (1 mark)

Worked Solution

Step 1: Understanding the Question

Step 2: Working Out

Question 20 (1 mark)