# Core 4 Maths — C4.10 study guide

## Your daily routine

Read the question and note its requested answer form. Try it on paper before entering each part in the local checker. If you need help, use the hint or work through the separate example with different numbers, then return to your own question. Record a read-aloud review honestly: Yes and No describe your confidence, not a marked answer.

## Daily focus

**Monday:** Use equal fractional and decimal jumps. Connect division, fractions, decimals and percentages as ways of describing parts of a quantity. Explain the place values of a ten-digit whole number.

**Tuesday:** Count fractional parts across whole-number boundaries. Regroup fractional sums and use known multiplication parts to find a missing factor.

**Wednesday:** Start counting at zero, keep equal jumps, and use thousandths when converting small decimals. Connect improper fractions with mixed numbers and check subtraction by adding back.

**Thursday:** Treat a recurring decimal as an exact repeating value, not a rounded decimal. Compare decimal places, combine multiplication parts and connect fraction division to a bar model.

**Friday:** Review fractional counting, percentages and whole-number place value. Regroup any fraction part that is larger than a whole before interpreting a mixed-number calculation.

## Methods to keep handy

For counting, the starting value is already given. Add the same increment every time and include the stated endpoint. For decimal counting, line up the decimal places rather than using rounded values.

For fractions of a quantity, divide into denominator-sized shares and take the numerator’s number of shares. For comparisons, use equal denominators or align decimal points. For decimal-to-fraction conversion, use place value to choose a denominator, then reduce both parts by their greatest common factor.

For large numbers, separate digits into groups and name the billions, millions, thousands and ones. “Complete millions” counts full groups across the whole number, not only one digit. In expanded form, record each place separately, including a zero contribution when requested. When rounding, inspect the digit immediately to the right of the rounding place.

For addition and subtraction of fractions, keep equal-sized parts and regroup whole parts when needed. Give an improper fraction, mixed number or whole number as the question requests. For multiplication, enter the numerator and denominator products separately before simplifying. For division, invert only the divisor, multiply, and use the bar model to count equal shaded parts.

## Entering answers

Use `a/b` for a fraction and a space between the whole and fraction parts of a mixed number. Enter a whole number when there is no fraction part. Use parentheses around repeating decimal digits for exact recurring decimals. Choose `a` or `b` only on a labelled choice question. Fill every answer field in order; a multiplication-part field is not the final total.

This static website checks answers in your browser and stores progress locally. It does not provide accounts or cross-device progress, and client-side checker data is not secret answer protection.