Mathematics 10 Reviewer PDF
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This document contains a collection of mathematics problems and questions, specifically designed for a 10th-grade level. The problems involve sequences, including arithmetic and geometric ones, and also cover the topic of polynomial division.
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MATHEMATICS 10 Reign decides to save money from Her daily allowance, she started by putting in 10 pesos on the first day in her coin bank and plans on adding 5 pesos each day as part of her daily saving plan. What type of sequence is applicable in Reign’s A. Harmonic sequ...
MATHEMATICS 10 Reign decides to save money from Her daily allowance, she started by putting in 10 pesos on the first day in her coin bank and plans on adding 5 pesos each day as part of her daily saving plan. What type of sequence is applicable in Reign’s A. Harmonic sequencesaving plan?C. Geometric sequence B. Arithmetic sequence D. Fibonacci sequence MATHEMATICS 10 Which of the following illustrates an arithmetic sequence? A. 3, 7, 16, 20,... C. 5, 10, 15, 20,… B. 1, 4, 9, 17,… D. 0, 3, 6, 8,… MATHEMATICS 10 Which of the following does NOT illustrates a geometric sequence? A. -6, 12, -24,… C. 4, 8, 12, … B. 3, 6, 12, … D. -2, -6, -18, … MATHEMATICS 10 What are the missing term in the sequence 6, ___, ___, ___, 22, … ? A. 10, 13,16 C. 9, 12,15 B. 8, 12, 14 D. 10,14,18 MATHEMATICS 10 What is the 5th term of the sequence whose nth term is given by an = 3n + 8? A. 23 C. 27 B. 32 D. 39 MATHEMATICS 10 In dividing polynomials, the synthetic division may be used. the process of dividing polynomials using synthetic division. What is the quotient on the synthetic division A. x – 2 C. 5x2 + 10x + 6 B. 5x2 – 14x – 12 D. 10x2 + 20x + 12 MATHEMATICS 10 What is the remainder when ( ) is divided by (x + 1)? A. 6 C. -6 B. 0 D. -3 MATHEMATICS 10 Which expressions gives the remainder when P(x) = is divided by x – 3? A. P(-3) C. P(-2) B. P(3) D. P(2) MATHEMATICS 10 Liam started counting the number of marbles he buys and keep every day and noticed this pattern 4,8,12,16…. How many marbles did Liam kept on day A. 52 12? C. 44 B. 48 D. 40 MATHEMATICS 10 What is the largest factor common to 12ᵄ 2 and 8ᵄ ?5 A. 4ᵄ2 C. 24ᵄ2 B. 4ᵄ D. 24ᵄ5 MATHEMATICS 10 Hazel arrange the rubber bands she will going to use on her project. She puts 5 rubber bands on the first box, 15 on the second box and 45 rubber bands on the third box. Supposing she wants to fill another box. How many rubber bands she 135 needs to put? MATHEMATICS 10 What is the geometric mean between -3 and - 108? - 18 MATHEMATICS 10 What is the quotient when (x + x – 2) 2 is divided by (x – 1)? x+2 MATHEMATICS 10 The polynomial 2x3 – 3x+x+4 2 is divided by the binomial x – 2. What is the remainder in doing the division? 10 MATHEMATICS 10 If (h + 5) is a factor of h + 7h + 2h – 40, what is 3 2 the other factor? MATHEMATICS 10 The length of a rectangle is (3x -7) cm and its width is (4x + 5) cm. Find its area. MATHEMATICS 10 Yumi makes a YouTube video. She sends the link to her 3 friends and ask them to subscribe in her YouTube account. The link is also forwarded by her friends to their friends using the same pattern. If they all subscribe, how many subscribers Yumi has after six times of sharing? 1,092 3 MATHEMATICS 10 divide the polynomial (x + 2x – x – 2) by 3 2 (x – 1) x 2 +3x+2 MATHEMATICS 10 Find the complete factorization of 2ᵆ − 32. 4 MATHEMATICS 10 A man bought a house at the beginning of 2006 for Php 800,000. If it increased Php 15,000 in value each year, how much was it worth at the end of 2022? Php. 1,040,000 MATHEMATICS 10 Mr. Santos is planning to buy a laptop for his teaching. To prepare for this, he is thinking of saving Php 2,500.00 every month starting next month. He has already saved Php 15,000.00 for this purpose. How much will Mr. Santos save after a month? 2 months? After 3 months? 4 months? Summarize your answer using the table below. 17 500, 20 000, 22 500, 25 000 MATHEMATICS 10 A farmer has eight baskets used in collecting chicken eggs from his poultry house. He placed three eggs in the first basket, six eggs in the second, and twelve eggs in the third. If he continues to put eggs on the next baskets in such a way that eachhas twice the number of eggs as the basket before it, then how many eggs does 765 the farmer collect? MATHEMATICS 10 Justin, a Grade 10 student, decided to save money from his weekly allowance and list down his savings weekly. After some time, he decided to look into his list of weekly savings and found out that his savings doubled every week from his initial 10-peso savings in week one. How much money did Justin save in Week 5? 160 In what week did Justin save an amount of 640 pesos? Week 7 Looking at Justin’s weekly saving pattern, find the missing terms in his savings. 40, ___, ___, 320 80, 160 How much is the total savings of Justin after 8 weeks? 2550 php MATHEMATICS 10 The volume of the box is given by V(x) = 2x3 +7x2 + 3x. Which expression represents the missing width? 2x+1 MATHEMATICS 10 Use the GCF of the terms to factor the polynomial 23ᵆ4 + 46ᵆ3. ᵆ3(23ᵆ + 46)2 MATHEMATICS 10 The polynomial 2x3 – 3x2 + x + 4 is divided by the binomial x – 2. What is the remainder in doing the division?. 10 MATHEMATICS 10 How many possible roots does x3 - 5x2 + 4 = 0 have? 3