AS Core Maths Baseline Assessment

Standard form calculations (Reference: N9)

• Question: Which of the following is the correct standard form of the number 56,000?

• 5.6 x 10^3
• 56 x 10^3
• 560 x 10^2
• 5.6 x 10^4

Answer explanation

In standard form, a number is written as a number between 1 and 10 multiplied by a power of 10. For 56,000, the correct form is 5.6×10^4.

Tags

CCSS.8.EE.A.3

Properties of shapes (Reference: G4)

• Question: Which of the following is a characteristic of all equilateral triangles?

• They have two equal sides.

• They have all angles equal to 60 degrees.

• They have one right angle.

• They have an obtuse angle.

Answer explanation

In an equilateral triangle, all three sides are of equal length, and all three angles are equal to 60 degrees.

Tags

CCSS.2.G.A.1

Rounding numbers (Reference: N15)

• Question: Round the number 3.14159 to three decimal places: _____

Answer explanation

To round to three decimal places, look at the fourth decimal place (which is 5). Since 5 is 5 or greater, the third decimal place increases by 1, making the number 3.142.

Tags

CCSS.5.NBT.A.4

Fractions in ratio problems (Reference: N11)

• Question: The ratio of boys to girls in a class is 3:2. If there are 18 boys, how many girls are there? _____

Answer explanation

The ratio 3:2 means for every 3 boys, there are 2 girls. Set up the proportion 3/2 = 18/x​ and solve for x (girls).

Place value understanding (Reference: N2)

• Question: Explain why place value is important when adding large numbers, such as 7,000 + 300.

Answer explanation

Place value helps in aligning numbers correctly when performing operations like addition, ensuring accuracy in results.

Tags

CCSS.2.NBT.B.7

Algebraic notation (Reference: A4)

• Question: Simplify the expression 2x+3x−5+7

Answer explanation

Combine the coefficients of like terms 2x+3x to get 5x, and combine constants −5+7 to get 2.

Tags

CCSS.7.EE.A.1

Integer powers and real roots (Reference: N6)

• Question: Calculate the cube root of 64.

Answer explanation

The cube root of 64 is 4 because 4^3=64.

Substitute numerical values into formulae (Reference: A2)

• Question: Given the formula A=πr^2, find the area of a circle with a radius of 5 cm.

Answer explanation

Substitute r=5 into the formula A=πr^2, then calculate 5^2=25 and multiply by π to get the area.

Tags

CCSS.6.EE.A.2C

Graphs of equations (Reference: A9)

• Question: Plot the graph of the equation y=2x+3 on a coordinate plane provided below.

Answer explanation

For a straight-line equation y=2x+3, plot points like (0,3) and (1,5) by substituting values of x, then connect them with a straight line.

Linear functions (Reference: A12)

• Question: Draw the graph of the function y=−x+2 on the coordinate plane provided.

Answer explanation

The y-intercept is found by setting x=0, and the x-intercept by setting y=0. Plot these points and connect them with a straight line.