SAT Math rewards accuracy under time pressure, and the fastest way to build both is to solve a steady stream of questions in the exact style the test uses. Maths Daily Helper generates unlimited fresh SAT-style problems across the four content areas, each with a full worked solution, so you can find your weak spots and drill them until they are automatic.
SAT Math content areas
- Heart of Algebra: linear equations, systems, inequalities.
- Problem Solving and Data Analysis: ratios, rates, percentages, interpreting graphs and tables.
- Passport to Advanced Math: quadratics, exponentials, functions, manipulating expressions.
- Additional Topics: geometry, trigonometry, complex numbers.
Try a few SAT-style problems
If 3x + 7 = 22, what is the value of 6x + 1?
1. Solve for x: 3x = 22 − 7 = 15, so x = 5.
2. Substitute into 6x + 1: 6(5) + 1 = 31.
Answer: 31. (Tip: you can also notice 6x + 1 = 2(3x + 7) − 13 = 2(22) − 13 = 31, skipping the solve.)
A shirt priced at $40 is discounted by 25%. What is the sale price?
1. A 25% discount means you pay 75% of the price.
2. 0.75 × 40 = 30.
Answer: $30.
If f(x) = x² − 4x + 3, for what values of x is f(x) = 0?
1. Factorise: find two numbers multiplying to 3 and adding to −4, namely −1 and −3.
2. x² − 4x + 3 = (x − 1)(x − 3) = 0.
Answer: x = 1 or x = 3.
If 2x + y = 11 and x − y = 1, what is the value of x?
1. Add the two equations to eliminate y: (2x + y) + (x − y) = 11 + 1, giving 3x = 12.
2. So x = 4.
Answer: x = 4.
A car travels 150 miles in 3 hours. At the same rate, how far does it travel in 5 hours?
1. Rate = 150 miles ÷ 3 hours = 50 miles per hour.
2. Distance in 5 hours = 50 × 5 = 250 miles.
Answer: 250 miles.
If 2ˣ = 32, what is the value of x?
1. Write 32 as a power of 2: 32 = 2⁵.
2. So 2ˣ = 2⁵, which means x = 5.
Answer: x = 5.
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
1. By the Pythagorean theorem, hypotenuse² = 6² + 8² = 36 + 64 = 100.
2. Hypotenuse = √100 = 10.
Answer: 10.
A quantity increases from 80 to 100. What is the percentage increase?
1. Increase = 100 − 80 = 20.
2. Percentage increase = (increase ÷ original) × 100 = (20 ÷ 80) × 100.
3. = 0.25 × 100 = 25%.
Answer: 25%.
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