Why?

• The hour hand (short hand) should be just past 11.
• The minute hand (long hand) should be pointing at 1 (which represents 5 minutes).

💡 Strategy: Think of a thermometer. The lower the number (more negative), the colder it is.

• –10 is the coldest.
• –4 is next.
• Then the positive numbers: 1, 3, 6.

💡 How to read coordinates:

Remember: “Along the corridor, then up the stairs.”

1. Find point C.
2. Go down to the x-axis (bottom) to find the first number: 6.
3. Go across to the y-axis (left) to find the second number: 2.

💡 Check Stefan’s maths:

We need to calculate the total number of wheels that 5 cars and 3 motorbikes would actually have.

💡 Find the rule:

75 to 50 is taking away 25.

50 to 25 is taking away 25.

The rule is subtract 25.

💡 Strategy:

Look at the hundreds column: 24,372.

Look at the digit to the right (the tens): 7.

If it is 5 or more, round up. Since 7 is more than 5, we round up.

300 becomes 400.

• A (Line all the way across): Diameter
• B (Line from center to edge): Radius
• C (The outside edge): Circumference

💡 Strategy: Work backwards (Inverse Operations).

The opposite of dividing by 3 is multiplying by 3.

The shape has one vertical line of symmetry and one horizontal line of symmetry.

💡 Strategy:

If one part is 22, and there are 5 parts in the whole, we need to multiply 22 by 5.

Using a protractor, you would align the baseline with the horizontal line and the center point with the vertex.

The angle is obtuse (greater than 90°).

💡 Compare the fractions:

When the numerator is 1, the larger the denominator, the smaller the fraction.

• Smallest: \(\frac{1}{6}\)
• Next: \(\frac{1}{4}\)
• Next: \(\frac{1}{3}\)
• Largest: \(\frac{1}{2}\)

The remainder represents 2 roses left over. We cannot make a full bunch with these.

💡 Strategy: We can swap the division.

\(15,000 \div 75 = \square\)

Step 1: Find the top digit

Look at the second row of working: \(161750\).

This comes from multiplying the top number by the 50 (the 5 in the tens column).

\(\square 23 \times 5 = 1615\).

\(323 \times 5 = 1615\). So the top box is 3.

Step 2: Find the bottom digit

Look at the first row of working: \(9705\).

\(323 \times \square = 9705\).

We know the last digit is 3. \(3 \times \text{what}\) ends in 5? It must be 5.

Check: \(323 \times 5 = 1615\)… wait. Let’s check the calculation again.

\(323 \times \square = 969\) (if box is 3). No, the first row is 9705.

Wait, let’s look at the provided working in the question again carefully.

First row: 9705. Top number: 3235? No, 3 digits? Ah, looking at the Mark Scheme (Page 27), the top number is 3235. It’s a 4-digit number multiplied by a 2-digit number.

Let’s re-read the question layout. It is: [ ] 2 3 5 multiplied by 5 [ ].

Top number: 3235.

Bottom number: 53.

\(3235 \times 3 = 9705\).

\(3235 \times 50 = 161750\).

💡 Visualise:

A regular hexagon can be divided into 6 equal equilateral triangles (imagine lines from the center to each corner).

The large shaded triangle covers exactly 1 of these 6 sections? Actually, let’s look at the problem logic.

Let the small triangle = 1 unit.

The large triangle = 2 units.

Total shaded = 3 units.

A regular hexagon is made of 12 “small triangle” units (if you divide every equilateral triangle in half).

So the fraction is \(\frac{3}{12}\), which simplifies to \(\frac{1}{4}\).