Math topic中文

Sum product

problems involving the calculation of the sum and product (where appropriate) of two matrices

Practice questions

  1. 1On every weekday, a bakery delivers chicken pies and apple pies to four cafes. On every weekend, it delivers double the…
  2. 2A tour agency sells cruise packages to Vietnam, Maldives and Taiwan at $1299, $1398 and $2538 respectively. The table…
  3. 3Given that (9230)(1−2y)=(x2x−7)\displaystyle\begin{pmatrix}9 & 2\\[4pt]3 & 0\end{pmatrix}\begin{pmatrix}1\\[4pt]-2y\end{pmatrix}=\begin{pmatrix}x\\[4pt]2x-7\end{pmatrix}…
  4. 4A theatre sells tickets for a musical performance based on different categories. The table below shows the number of tic…
  5. 5A cake shop sells 3 types of cakes. On Day 1, the shop sold 84 chocolate cakes, 90 vanilla cakes and 56 strawberry cakes…
  6. 6A company sells chocolate muffins and banana muffins. These muffins are sold across three different outlets, which are O…
  7. 7In bookstore A, a fiction book costs 8,anon−fictionbookcosts8, a non-fiction book costs 10 and a science book costs 11.50.InbookstoreB,afictionbookcosts11.50. In bookstore B, a fiction book costs …
  8. 8The table shows the height, h cm, of 60 plants. Calculate an estimate of the standard deviation of the height of the pla…
  9. 9In stall A, one Chicken pie costs 1.50,oneMushroompiecosts1.50, one Mushroom pie costs 1.30 and one Tuna pie costs 1.80.InstallB,oneChickenpiecosts1.80. In stall B, one Chicken pie costs …
  10. 10Hand sanitisers, hand wash and wipes were sold in two pharmacies. The matrix P shows the number of items available for s…
  11. 11The matrix T shows the number of training sessions Alyssa and Farah attended for the different training programmes in a…
  12. 12An enrichment centre offers drama, writing and speech enrichment classes on weekdays during the school holiday. The matr…
  13. 13A fruit juice stall sells regular, medium and large glasses of apple and orange juice. The number of glasses of each typ…
  14. 14A baking school offers beginner, intermediate and advanced baking classes on weekdays and weekends in August this year.…
  15. 15Robert has 3 options to get to school every weekday morning. Option A: He takes the bus. Option B: He takes the MRT. Opt…
  16. 16The orders from three shops in July 2021 were as follows: Tasty shop ordered 100 of type A, 50 of type B and 25 of type…
  17. 17A tour agency records the total number of people buying tour packages to Thailand and Vietnam in the months of November…
  18. 18A concert offers three types of seating areas, A, B and C, for Saturday and Sunday. The numbers of tickets sold for each…
  19. 19The table below shows a multiple-choice test Sam and Roger took. Represent this information in a 2×32\times3 matrix, S. A…
  20. 20Karen is selling pancakes for a one-day charity event. She specialises in three different types of pancakes which are pl…
  21. 21The matrix A below shows the prices of football match tickets for seats in Category 1 (Cat 1), Category 2 (Cat 2) and Ca…
  22. 22At Café A, a latte costs $3.50, a croissant costs $2.70 and a sandwich costs $5.00. At Café B, a latte costs $0.40 m…
  23. 23The prices of noodle set and rice set at two shops are shown below. Find (2.53.52.83.2)(21)\displaystyle \begin{pmatrix}2.5 & 3.5\\[4pt]2.8 & 3.2\end{pmatrix}\begin{pmatrix}2\\[4pt]1\end{pmatrix}…
  24. 24Mrs Teo is a Mathematics tutor. She offers tutorial sessions for Lower Secondary and Upper Secondary students on weekday…
  25. 25The table shows the prices of movie tickets categorised by different days of the week and the various age groups. Write…
  26. 26In grocery mart G, water costs 1.80perlitre,freshmilkcosts1.80 per litre, fresh milk costs 2.90 per litre and juice costs 2.30perlitre.IngrocerymartH,watercosts2.30 per litre. In grocery mart H, water costs …
  27. 27The matrix below shows the results of three baseball teams in a series of competition. A win gains 3 points, a draw 1 po…