diff --git a/cypress/integration/code-highlighting.spec.js b/cypress/integration/code-highlighting.spec.js
--- a/cypress/integration/code-highlighting.spec.js
+++ b/cypress/integration/code-highlighting.spec.js
@@ -64,10 +64,8 @@
 
     cy.get(`.hljs-ln-numbers[data-line-number="${lineStart}"]`)
       .click()
-      .get(`body`)
-      .type(`{shift}`, {release: false})
       .get(`.hljs-ln-numbers[data-line-number="${lineEnd}"]`)
-      .click()
+      .click({shiftKey: true})
       .get('.hljs-ln-line')
       .then(lines => {
         for (let line of lines) {
diff --git a/cypress/integration/revision-diff.spec.js b/cypress/integration/revision-diff.spec.js
--- a/cypress/integration/revision-diff.spec.js
+++ b/cypress/integration/revision-diff.spec.js
@@ -160,10 +160,7 @@
         let startElt = `#${diffId}-unified-diff .hljs-ln-numbers[data-line-number="${startLinesStr}"]`;
         let endElt = `#${diffId}-unified-diff .hljs-ln-numbers[data-line-number="${endLinesStr}"]`;
         cy.get(startElt).click();
-        cy.get('body').type(`{shift}`, {
-          release: false
-        });
-        cy.get(endElt).click();
+        cy.get(endElt).click({shiftKey: true});
 
         // check URL fragment has been updated
         const selectedLinesFragment =
@@ -236,10 +233,7 @@
         let startElt = `#${singleDiffId} .hljs-ln-numbers[data-line-number="${startLine}"]`;
         let endElt = `#${singleDiffId} .hljs-ln-numbers[data-line-number="${endLine}"]`;
         cy.get(startElt).click();
-        cy.get('body').type(`{shift}`, {
-          release: false
-        });
-        cy.get(endElt).click();
+        cy.get(endElt).click({shiftKey: true});
 
         const selectedLinesFragment =
           swh.revision.selectedDiffLinesToFragment(startLines, endLines, false);
@@ -389,10 +383,7 @@
         }
 
         cy.get(startElt).click();
-        cy.get('body').type(`{shift}`, {
-          release: false
-        });
-        cy.get(endElt).click();
+        cy.get(endElt).click({shiftKey: true});
 
         const selectedLinesFragment =
             swh.revision.selectedDiffLinesToFragment(startLines, endLines, false);
diff --git a/package.json b/package.json
--- a/package.json
+++ b/package.json
@@ -68,7 +68,7 @@
     "clean-webpack-plugin": "^3.0.0",
     "copy-webpack-plugin": "^6.0.3",
     "css-loader": "^4.2.1",
-    "cypress": "^4.12.1",
+    "cypress": "^5.0.0",
     "cypress-multi-reporters": "^1.4.0",
     "ejs": "^3.1.5",
     "ejs-compiled-loader": "^3.0.0",
diff --git a/yarn.lock b/yarn.lock
--- a/yarn.lock
+++ b/yarn.lock
@@ -2224,6 +2224,11 @@
   dependencies:
     file-uri-to-path "1.0.0"
 
+blob-util@2.0.2:
+  version "2.0.2"
+  resolved "https://registry.yarnpkg.com/blob-util/-/blob-util-2.0.2.tgz#3b4e3c281111bb7f11128518006cdc60b403a1eb"
+  integrity sha512-T7JQa+zsXXEa6/8ZhHcQEW1UFfVM49Ts65uBkFL6fz2QmrElqmbajIDJvuA0tEhRe5eIjpV9ZF+0RfZR9voJFQ==
+
 block-stream@*:
   version "0.0.9"
   resolved "https://registry.yarnpkg.com/block-stream/-/block-stream-0.0.9.tgz#13ebfe778a03205cfe03751481ebb4b3300c126a"
@@ -3113,13 +3118,13 @@
   dependencies:
     restore-cursor "^2.0.0"
 
-cli-table3@~0.5.1:
-  version "0.5.1"
-  resolved "https://registry.yarnpkg.com/cli-table3/-/cli-table3-0.5.1.tgz#0252372d94dfc40dbd8df06005f48f31f656f202"
-  integrity sha512-7Qg2Jrep1S/+Q3EceiZtQcDPWxhAvBw+ERf1162v4sikJrvojMHFqXt8QIVha8UlH9rgU0BeWPytZ9/TzYqlUw==
+cli-table3@~0.6.0:
+  version "0.6.0"
+  resolved "https://registry.yarnpkg.com/cli-table3/-/cli-table3-0.6.0.tgz#b7b1bc65ca8e7b5cef9124e13dc2b21e2ce4faee"
+  integrity sha512-gnB85c3MGC7Nm9I/FkiasNBOKjOiO1RNuXXarQms37q4QMpWdlbBgD/VnOStA2faG1dpXMv31RFApjX1/QdgWQ==
   dependencies:
     object-assign "^4.1.0"
-    string-width "^2.1.1"
+    string-width "^4.2.0"
   optionalDependencies:
     colors "^1.1.2"
 
@@ -3796,10 +3801,10 @@
     debug "^4.1.1"
     lodash "^4.17.15"
 
-cypress@^4.12.1:
-  version "4.12.1"
-  resolved "https://registry.yarnpkg.com/cypress/-/cypress-4.12.1.tgz#0ead1b9f4c0917d69d8b57f996b6e01fe693b6ec"
-  integrity sha512-9SGIPEmqU8vuRA6xst2CMTYd9sCFCxKSzrHt0wr+w2iAQMCIIsXsQ5Gplns1sT6LDbZcmLv6uehabAOl3fhc9Q==
+cypress@^5.0.0:
+  version "5.0.0"
+  resolved "https://registry.yarnpkg.com/cypress/-/cypress-5.0.0.tgz#6957e299b790af8b1cd7bea68261b8935646f72e"
+  integrity sha512-jhPd0PMO1dPSBNpx6pHVLkmnnaTfMy3wCoacHAKJ9LJG06y16zqUNSFri64N4BjuGe8y6mNMt8TdgKnmy9muCg==
   dependencies:
     "@cypress/listr-verbose-renderer" "^0.4.1"
     "@cypress/request" "^2.88.5"
@@ -3807,26 +3812,27 @@
     "@types/sinonjs__fake-timers" "^6.0.1"
     "@types/sizzle" "^2.3.2"
     arch "^2.1.2"
+    blob-util "2.0.2"
     bluebird "^3.7.2"
     cachedir "^2.3.0"
-    chalk "^2.4.2"
+    chalk "^4.1.0"
     check-more-types "^2.24.0"
-    cli-table3 "~0.5.1"
+    cli-table3 "~0.6.0"
     commander "^4.1.1"
     common-tags "^1.8.0"
     debug "^4.1.1"
     eventemitter2 "^6.4.2"
-    execa "^1.0.0"
+    execa "^4.0.2"
     executable "^4.1.1"
     extract-zip "^1.7.0"
-    fs-extra "^8.1.0"
+    fs-extra "^9.0.1"
     getos "^3.2.1"
     is-ci "^2.0.0"
     is-installed-globally "^0.3.2"
     lazy-ass "^1.6.0"
     listr "^0.14.3"
     lodash "^4.17.19"
-    log-symbols "^3.0.0"
+    log-symbols "^4.0.0"
     minimist "^1.2.5"
     moment "^2.27.0"
     ospath "^1.2.2"
@@ -3834,7 +3840,7 @@
     ramda "~0.26.1"
     request-progress "^3.0.0"
     supports-color "^7.1.0"
-    tmp "~0.1.0"
+    tmp "~0.2.1"
     untildify "^4.0.0"
     url "^0.11.0"
     yauzl "^2.10.0"
@@ -5282,6 +5288,21 @@
     signal-exit "^3.0.0"
     strip-eof "^1.0.0"
 
+execa@^4.0.2:
+  version "4.0.3"
+  resolved "https://registry.yarnpkg.com/execa/-/execa-4.0.3.tgz#0a34dabbad6d66100bd6f2c576c8669403f317f2"
+  integrity sha512-WFDXGHckXPWZX19t1kCsXzOpqX9LWYNqn4C+HqZlk/V0imTkzJZqf87ZBhvpHaftERYknpk0fjSylnXVlVgI0A==
+  dependencies:
+    cross-spawn "^7.0.0"
+    get-stream "^5.0.0"
+    human-signals "^1.1.1"
+    is-stream "^2.0.0"
+    merge-stream "^2.0.0"
+    npm-run-path "^4.0.0"
+    onetime "^5.1.0"
+    signal-exit "^3.0.2"
+    strip-final-newline "^2.0.0"
+
 execall@^2.0.0:
   version "2.0.0"
   resolved "https://registry.yarnpkg.com/execall/-/execall-2.0.0.tgz#16a06b5fe5099df7d00be5d9c06eecded1663b45"
@@ -5809,7 +5830,7 @@
     jsonfile "^4.0.0"
     universalify "^0.1.0"
 
-fs-extra@^9.0.0:
+fs-extra@^9.0.0, fs-extra@^9.0.1:
   version "9.0.1"
   resolved "https://registry.yarnpkg.com/fs-extra/-/fs-extra-9.0.1.tgz#910da0062437ba4c39fedd863f1675ccfefcb9fc"
   integrity sha512-h2iAoN838FqAFJY2/qVpzFXy+EBxfVE220PalAqQLDVsFOHLJrZvut5puAbCdNv6WJk+B8ihI+k0c7JK5erwqQ==
@@ -7800,7 +7821,7 @@
   resolved "https://registry.yarnpkg.com/lodash/-/lodash-4.17.20.tgz#b44a9b6297bcb698f1c51a3545a2b3b368d59c52"
   integrity sha512-PlhdFcillOINfeV7Ni6oF1TAEayyZBoZ8bcshTHqOYJYlrqzRK5hagpagky5o4HfCzzd1TRkXPMFq6cKk9rGmA==
 
-log-symbols@3.0.0, log-symbols@^3.0.0:
+log-symbols@3.0.0:
   version "3.0.0"
   resolved "https://registry.yarnpkg.com/log-symbols/-/log-symbols-3.0.0.tgz#f3a08516a5dea893336a7dee14d18a1cfdab77c4"
   integrity sha512-dSkNGuI7iG3mfvDzUuYZyvk5dD9ocYCYzNU6CYDE6+Xqd+gwme6Z00NS3dUh8mq/73HaEtT7m6W+yUPtU6BZnQ==
@@ -11928,12 +11949,12 @@
   resolved "https://registry.yarnpkg.com/tiny-inflate/-/tiny-inflate-1.0.3.tgz#122715494913a1805166aaf7c93467933eea26c4"
   integrity sha512-pkY1fj1cKHb2seWDy0B16HeWyczlJA9/WW3u3c4z/NiWDsO3DOU5D7nhTLE9CF0yXv/QZFY7sEJmj24dK+Rrqw==
 
-tmp@~0.1.0:
-  version "0.1.0"
-  resolved "https://registry.yarnpkg.com/tmp/-/tmp-0.1.0.tgz#ee434a4e22543082e294ba6201dcc6eafefa2877"
-  integrity sha512-J7Z2K08jbGcdA1kkQpJSqLF6T0tdQqpR2pnSUXsIchbPdTI9v3e85cLW0d6WDhwuAleOV71j2xWs8qMPfK7nKw==
+tmp@~0.2.1:
+  version "0.2.1"
+  resolved "https://registry.yarnpkg.com/tmp/-/tmp-0.2.1.tgz#8457fc3037dcf4719c251367a1af6500ee1ccf14"
+  integrity sha512-76SUhtfqR2Ijn+xllcI5P1oyannHNHByD80W1q447gU3mp9G9PSpGdWmjUOHRDPiHYacIk66W7ubDTuPF3BEtQ==
   dependencies:
-    rimraf "^2.6.3"
+    rimraf "^3.0.0"
 
 to-arraybuffer@^1.0.0:
   version "1.0.1"