tumble.tools

SATs-aligned maths practice,
powered by real exam data.

Generate unlimited arithmetic and reasoning questions that mirror the real KS2 SATs papers. Explore years of exam analytics to find exactly where your pupils need practice.

705Questions Analysed
60.1%Avg Facility
2016 - 2025Year Range
24Papers Indexed
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Arithmetic Generator

Mirror the real KS2 Paper 1 — choose from 26 question types across fractions, long division, percentages, BODMAS, and more. Every question is seeded for exact reproduction.

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Reasoning Generator

Our 3-layer engine produces realistic word problems: a Mathematical Kernel generates numbers, the Semantic Bridge validates context, and the Context Skin dresses them in natural language. No nonsensical questions — ever.

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Analytics Dashboard

Explore every question from 8 years of KS2 SATs papers. Filter by year, difficulty, and content domain. See facility ratings, scatter plots, curriculum coverage heatmaps, and time-series trends that reveal exactly how maths is examined.

Total Questions
705
Across all papers
Average Facility
60.1%
Above average difficulty
Year Range
2016 - 2025
8 years of data
Papers
24
P1, P2, P3 per year
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Difficulty Quadrant

Plot cognitive complexity against facility to find the hardest question types at a glance.

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Curriculum Gaps

Radar charts showing performance by strand — spot weaknesses in number, algebra, geometry, and more.

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Time Series

Track how facility changes year-on-year across content domains and question types.

How It Works

Our reasoning engine separates maths from story. One set of numbers, infinite word problems.

1

Mathematical Kernel

Generates pure number relationships — division with remainders, fractions, percentages — and tags each output with properties like money_safe or has_remainder.

2

Semantic Bridge

Reads the kernel's tags and filters out invalid contexts. Recurring decimal? Block money. Fractional result? Block discrete items. No nonsensical questions.

3

Context Skin

Dresses valid numbers in a narrative template — eggs in boxes, ribbon cutting, discount calculations. The same maths produces completely different word problems.