Photo AI

Complete the first seven square numbers - OCR - GCSE Maths - Question 2 - 2020 - Paper 3

Question icon

Question 2

Complete-the-first-seven-square-numbers-OCR-GCSE Maths-Question 2-2020-Paper 3.png

Complete the first seven square numbers. 1 4 9 16 ........ 36 49 Write the missing term in each sequence. (i) 18 16 14 ........ 10 8 (ii) ........ 14 20 26 32 38

Worked Solution & Example Answer:Complete the first seven square numbers - OCR - GCSE Maths - Question 2 - 2020 - Paper 3

Step 1

Complete the first seven square numbers.

96%

114 rated

Answer

The first seven square numbers are generated by squaring the integers from 1 to 7. The sequence is as follows:

1 = 121^2, 4 = 222^2, 9 = 323^2, 16 = 424^2, 25 = 525^2, 36 = 626^2, 49 = 727^2.

Thus, the missing term is 25.

Step 2

Write the missing term in each sequence.

99%

104 rated

Answer

(i) The sequence goes from 18 to 10, decreasing by 2 and then by 2 again. Therefore, the missing term is 12, giving us:

18, 16, 14, 12, 10, 8.

(ii) The sequence increases by 6 for each subsequent term. Thus, the missing term before 14 is 8:

8, 14, 20, 26, 32, 38.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other GCSE Maths topics to explore

Number Toolkit

Maths - Edexcel

Prime Factors, HCF & LCM

Maths - Edexcel

Powers, Roots & Standard Form

Maths - Edexcel

Simple & Compound Interest, Growth & Decay

Maths - Edexcel

Fractions, Decimals & Percentages

Maths - Edexcel

Rounding, Estimation & Bounds

Maths - Edexcel

Surds

Maths - Edexcel

Algebraic Roots & Indices

Maths - Edexcel

Expanding Brackets

Maths - Edexcel

Factorising

Maths - Edexcel

Completing the Square

Maths - Edexcel

Algebraic Fractions

Maths - Edexcel

Rearranging Formulae

Maths - Edexcel

Algebraic Proof

Maths - Edexcel

Linear Equations

Maths - Edexcel

Solving Quadratic Equations

Maths - Edexcel

Simultaneous Equations

Maths - Edexcel

Iteration

Maths - Edexcel

Forming & Solving Equations

Maths - Edexcel

Functions

Maths - Edexcel

Coordinate Geometry

Maths - Edexcel

Estimating Gradients & Areas under Graphs

Maths - Edexcel

Real-Life Graphs

Maths - Edexcel

Transformations of Graphs

Maths - Edexcel

Sequences

Maths - Edexcel

Direct & Inverse Proportion

Maths - Edexcel

Standard & Compound Units

Maths - Edexcel

Exchange Rates & Best Buys

Maths - Edexcel

Geometry Toolkit

Maths - Edexcel

Angles in Polygons & Parallel Lines

Maths - Edexcel

Bearings, Scale Drawing, Constructions & Loci

Maths - Edexcel

Area & Perimeter

Maths - Edexcel

Right-Angled Triangles - Pythagoras & Trigonometry

Maths - Edexcel

Sine, Cosine Rule & Area of Triangles

Maths - Edexcel

Vectors

Maths - Edexcel

Transformations

Maths - Edexcel

Scatter Graphs & Correlation

Maths - Edexcel

Statistics

Maths - Edexcel

Ratio Analysis and Problem Solving

Maths - Edexcel

Inequalities

Maths - Edexcel

Volume, Area & Surface Area

Maths - Edexcel

The Circle

Maths - Edexcel

Probability

Maths - Edexcel

Trigonometry

Maths - Edexcel

Growth & Decay

Maths - Edexcel

Outliers

Maths - Edexcel

;